{"id":47024,"date":"2025-07-30T05:37:05","date_gmt":"2025-07-29T21:37:05","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/47024.html"},"modified":"2025-07-30T05:37:05","modified_gmt":"2025-07-29T21:37:05","slug":"agentic-ai%e4%b8%8e%e6%8f%90%e7%a4%ba%e5%b7%a5%e7%a8%8b%e6%9e%b6%e6%9e%84%e5%b8%88%ef%bc%8c%e4%b8%ba%e4%ba%a4%e9%80%9a%e6%b5%81%e9%87%8f%e7%ae%a1%e7%90%86%e5%b8%a6%e6%9d%a5%e6%96%b0%e6%80%9d%e7%bb%b4","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/47024.html","title":{"rendered":"Agentic AI\u4e0e\u63d0\u793a\u5de5\u7a0b\u67b6\u6784\u5e08\uff0c\u4e3a\u4ea4\u901a\u6d41\u91cf\u7ba1\u7406\u5e26\u6765\u65b0\u601d\u7ef4"},"content":{"rendered":"<h2>Agentic AI\u4e0e\u63d0\u793a\u5de5\u7a0b\u67b6\u6784\u5e08&#xff1a;\u91cd\u5851\u4ea4\u901a\u6d41\u91cf\u7ba1\u7406\u7684\u8ba4\u77e5\u6846\u67b6\u4e0e\u6280\u672f\u8303\u5f0f<\/h2>\n<h3>\u5143\u6570\u636e<\/h3>\n<p>\u6807\u9898&#xff1a;Agentic 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\u63d0\u4f9b\u4e86\u5168\u65b0\u89c6\u89d2&#xff1a;<\/p>\n<ul>\n<li>\u7531\u5927\u91cf\u76f8\u4e92\u4f5c\u7528\u7684\u5f02\u8d28\u4e3b\u4f53&#xff08;\u8f66\u8f86\u3001\u884c\u4eba\u3001\u9a91\u884c\u8005&#xff09;\u7ec4\u6210<\/li>\n<li>\u8868\u73b0\u51fa\u6d8c\u73b0\u6027\u884c\u4e3a&#xff08;\u5982\u62e5\u5835\u7684\u5f62\u6210\u4e0e\u6d88\u6563&#xff09;<\/li>\n<li>\u5177\u6709\u81ea\u7ec4\u7ec7\u7279\u6027\u548c\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u7279\u5f81<\/li>\n<li>\u53d7\u5c40\u90e8\u51b3\u7b56\u5f71\u54cd\u7684\u5168\u5c40\u884c\u4e3a<\/li>\n<\/ul>\n<p>\u8fd9\u79cd\u8ba4\u77e5\u8f6c\u53d8\u8981\u6c42\u6211\u4eec\u4ece&#034;\u63a7\u5236-\u547d\u4ee4&#034;\u8303\u5f0f\u8f6c\u5411&#034;\u5f15\u5bfc-\u534f\u8c03&#034;\u8303\u5f0f&#xff0c;\u800cAgentic AI\u6b63\u662f\u5b9e\u73b0\u8fd9\u4e00\u8f6c\u53d8\u7684\u5173\u952e\u6280\u672f\u8def\u5f84\u3002<\/p>\n<h4>1.2 \u5386\u53f2\u8f68\u8ff9&#xff1a;\u4ece\u5b64\u7acb\u667a\u80fd\u5230\u534f\u540c\u667a\u80fd\u4f53<\/h4>\n<p>\u4ea4\u901a\u7cfb\u7edf\u667a\u80fd\u5316\u7ecf\u5386\u4e86\u56db\u4e2a\u5173\u952e\u53d1\u5c55\u9636\u6bb5&#xff1a;<\/p>\n<p>\u7b2c\u4e00\u9636\u6bb5&#xff1a;\u5b64\u7acb\u81ea\u52a8\u5316&#xff08;1970s-2000s&#xff09;<\/p>\n<ul>\n<li>\u5355\u70b9\u4ea4\u901a\u4fe1\u53f7\u81ea\u9002\u5e94\u63a7\u5236&#xff08;\u5982SCOOT, SCATS\u7cfb\u7edf&#xff09;<\/li>\n<li>\u57fa\u4e8e\u56fa\u5b9a\u7b97\u6cd5\u7684\u4ea4\u901a\u6d41\u9884\u6d4b<\/li>\n<li>\u7279\u5f81&#xff1a;\u96c6\u4e2d\u5f0f\u51b3\u7b56&#xff0c;\u6709\u9650\u611f\u77e5&#xff0c;\u9759\u6001\u89c4\u5219<\/li>\n<\/ul>\n<p>\u7b2c\u4e8c\u9636\u6bb5&#xff1a;\u8054\u7f51\u611f\u77e5&#xff08;2000s-2010s&#xff09;<\/p>\n<ul>\n<li>\u7269\u8054\u7f51\u6280\u672f\u5728\u4ea4\u901a\u76d1\u63a7\u4e2d\u7684\u5e94\u7528<\/li>\n<li>\u521d\u6b65\u5b9e\u73b0\u6570\u636e\u5171\u4eab\u4e0e\u534f\u540c\u51b3\u7b56<\/li>\n<li>\u7279\u5f81&#xff1a;\u5206\u5e03\u5f0f\u611f\u77e5&#xff0c;\u96c6\u4e2d\u5f0f\u51b3\u7b56&#xff0c;\u6709\u9650\u9002\u5e94\u6027<\/li>\n<\/ul>\n<p>\u7b2c\u4e09\u9636\u6bb5&#xff1a;\u9884\u6d4b\u6027\u4f18\u5316&#xff08;2010s-2020s&#xff09;<\/p>\n<ul>\n<li>\u673a\u5668\u5b66\u4e60\u6280\u672f\u5e94\u7528\u4e8e\u4ea4\u901a\u6d41\u9884\u6d4b<\/li>\n<li>\u8def\u5f84\u89c4\u5212\u7b97\u6cd5\u7684\u4e2a\u6027\u5316\u4e0e\u52a8\u6001\u5316<\/li>\n<li>\u7279\u5f81&#xff1a;\u6570\u636e\u9a71\u52a8\u51b3\u7b56&#xff0c;\u521d\u6b65AI\u5e94\u7528&#xff0c;\u6709\u9650\u81ea\u4e3b\u6027<\/li>\n<\/ul>\n<p>\u7b2c\u56db\u9636\u6bb5&#xff1a;\u667a\u80fd\u4f53\u534f\u540c&#xff08;2020s-&#xff09;<\/p>\n<ul>\n<li>\u591a\u667a\u80fd\u4f53\u7cfb\u7edf\u7684\u5206\u5e03\u5f0f\u51b3\u7b56<\/li>\n<li>\u63d0\u793a\u5de5\u7a0b\u9a71\u52a8\u7684\u667a\u80fd\u4f53\u884c\u4e3a\u5851\u9020<\/li>\n<li>\u4eba\u673a\u534f\u4f5c\u7684\u6df7\u5408\u667a\u80fd\u7cfb\u7edf<\/li>\n<li>\u7279\u5f81&#xff1a;\u81ea\u4e3b\u534f\u540c&#xff0c;\u52a8\u6001\u9002\u5e94&#xff0c;\u5168\u5c40\u4f18\u5316<\/li>\n<\/ul>\n<p>\u63d0\u793a\u5de5\u7a0b\u4f5c\u4e3a\u4e00\u4e2a\u72ec\u7acb\u9886\u57df\u7684\u5d1b\u8d77&#xff0c;\u4e3aAgentic AI\u7cfb\u7edf\u63d0\u4f9b\u4e86\u7cbe\u786e\u63a7\u5236\u548c\u884c\u4e3a\u5851\u9020\u7684\u65b9\u6cd5\u8bba&#xff0c;\u4f7f\u590d\u6742\u4ea4\u901a\u73af\u5883\u4e2d\u7684\u667a\u80fd\u4f53\u534f\u4f5c\u6210\u4e3a\u53ef\u80fd\u3002<\/p>\n<h4>1.3 \u95ee\u9898\u7a7a\u95f4\u5b9a\u4e49&#xff1a;\u4ea4\u901a\u6d41\u91cf\u7ba1\u7406\u7684\u6838\u5fc3\u6311\u6218<\/h4>\n<p>\u4ea4\u901a\u6d41\u91cf\u7ba1\u7406\u7684\u95ee\u9898\u7a7a\u95f4\u53ef\u901a\u8fc7\u591a\u7ef4\u6846\u67b6\u7cbe\u786e\u5b9a\u4e49&#xff1a;<\/p>\n<p>\u7a7a\u95f4\u7ef4\u5ea6&#xff1a;<\/p>\n<ul>\n<li>\u5fae\u89c2\u5c42\u9762&#xff1a;\u8f66\u8f86\u7ea7\u522b\u7684\u884c\u4e3a\u4e0e\u51b3\u7b56&#xff08;\u7c73\u7ea7&#xff09;<\/li>\n<li>\u4e2d\u89c2\u5c42\u9762&#xff1a;\u4ea4\u53c9\u53e3\u4e0e\u8def\u6bb5\u7ea7\u534f\u8c03&#xff08;\u767e\u7c73\u7ea7&#xff09;<\/li>\n<li>\u5b8f\u89c2\u5c42\u9762&#xff1a;\u533a\u57df\u7f51\u7edc\u6d41\u91cf\u4f18\u5316&#xff08;\u516c\u91cc\u7ea7&#xff09;<\/li>\n<\/ul>\n<p>\u65f6\u95f4\u7ef4\u5ea6&#xff1a;<\/p>\n<ul>\n<li>\u5373\u65f6\u54cd\u5e94&#xff1a;\u6beb\u79d2\u81f3\u79d2\u7ea7&#xff08;\u78b0\u649e\u907f\u514d&#xff09;<\/li>\n<li>\u77ed\u671f\u8c03\u6574&#xff1a;\u79d2\u81f3\u5206\u949f\u7ea7&#xff08;\u4fe1\u53f7\u914d\u65f6&#xff09;<\/li>\n<li>\u4e2d\u671f\u89c4\u5212&#xff1a;\u5206\u949f\u81f3\u5c0f\u65f6\u7ea7&#xff08;\u8def\u5f84\u5f15\u5bfc&#xff09;<\/li>\n<li>\u957f\u671f\u4f18\u5316&#xff1a;\u5929\u81f3\u5468\u7ea7&#xff08;\u8d44\u6e90\u5206\u914d&#xff09;<\/li>\n<\/ul>\n<p>\u4e3b\u4f53\u7ef4\u5ea6&#xff1a;<\/p>\n<ul>\n<li>\u4e2a\u4f53\u51fa\u884c\u8005&#xff1a;\u8def\u5f84\u9009\u62e9\u3001\u51fa\u53d1\u65f6\u95f4\u3001\u4ea4\u901a\u65b9\u5f0f<\/li>\n<li>\u4ea4\u901a\u7ba1\u7406\u8005&#xff1a;\u4fe1\u53f7\u63a7\u5236\u3001\u8f66\u9053\u5206\u914d\u3001\u4e34\u65f6\u7ba1\u5236<\/li>\n<li>\u7cfb\u7edf\u8fd0\u8425\u5546&#xff1a;\u516c\u5171\u4ea4\u901a\u8c03\u5ea6\u3001\u5171\u4eab\u51fa\u884c\u8d44\u6e90\u5206\u914d<\/li>\n<\/ul>\n<p>\u76ee\u6807\u7ef4\u5ea6&#xff1a;<\/p>\n<ul>\n<li>\u6548\u7387\u76ee\u6807&#xff1a;\u6700\u5c0f\u5316\u65c5\u884c\u65f6\u95f4\u3001\u6700\u5927\u5316\u541e\u5410\u91cf<\/li>\n<li>\u516c\u5e73\u76ee\u6807&#xff1a;\u5747\u8861\u4e0d\u540c\u7fa4\u4f53\u7684\u51fa\u884c\u4f53\u9a8c<\/li>\n<li>\u5b89\u5168\u76ee\u6807&#xff1a;\u6700\u5c0f\u5316\u4e8b\u6545\u98ce\u9669<\/li>\n<li>\u53ef\u6301\u7eed\u76ee\u6807&#xff1a;\u51cf\u5c11\u80fd\u6e90\u6d88\u8017\u4e0e\u6392\u653e<\/li>\n<\/ul>\n<p>\u4f20\u7edf\u65b9\u6cd5\u7684\u6839\u672c\u5c40\u9650\u5728\u4e8e\u65e0\u6cd5\u540c\u65f6\u5904\u7406\u8fd9\u4e9b\u591a\u7ef4\u76ee\u6807\u7684\u4f18\u5316&#xff0c;\u800cAgentic AI\u7cfb\u7edf\u901a\u8fc7\u5206\u5e03\u5f0f\u667a\u80fd\u4f53\u7f51\u7edc\u548c\u7cbe\u786e\u7684\u63d0\u793a\u5de5\u7a0b&#xff0c;\u53ef\u4ee5\u5b9e\u73b0\u591a\u5c42\u6b21\u3001\u591a\u76ee\u6807\u7684\u52a8\u6001\u5e73\u8861\u3002<\/p>\n<h4>1.4 \u672f\u8bed\u7cbe\u786e\u6027&#xff1a;\u5173\u952e\u6982\u5ff5\u7684\u4e25\u683c\u754c\u5b9a<\/h4>\n<p>\u4e3a\u786e\u4fdd\u8ba8\u8bba\u7684\u7cbe\u786e\u6027&#xff0c;\u9700\u8981\u660e\u786e\u5b9a\u4e49\u6838\u5fc3\u672f\u8bed&#xff1a;<\/p>\n<p>Agentic AI\u7cfb\u7edf&#xff1a;\u7531\u591a\u4e2a\u534a\u81ea\u4e3b\u667a\u80fd\u4f53\u7ec4\u6210\u7684\u8ba1\u7b97\u7cfb\u7edf&#xff0c;\u6bcf\u4e2a\u667a\u80fd\u4f53\u80fd\u591f\u611f\u77e5\u73af\u5883\u3001\u81ea\u4e3b\u51b3\u7b56\u5e76\u6267\u884c\u52a8\u4f5c&#xff0c;\u540c\u65f6\u901a\u8fc7\u901a\u4fe1\u4e0e\u5176\u4ed6\u667a\u80fd\u4f53\u534f\u4f5c\u4ee5\u5b9e\u73b0\u4e2a\u4f53\u548c\u96c6\u4f53\u76ee\u6807\u3002<\/p>\n<p>\u667a\u80fd\u4f53(Agent)&#xff1a;\u5728\u4ea4\u901a\u8bed\u5883\u4e2d&#xff0c;\u6307\u80fd\u591f\u4ee3\u8868\u4ea4\u901a\u53c2\u4e0e\u8005&#xff08;\u4e2a\u4eba\u3001\u8f66\u8f86\u3001\u57fa\u7840\u8bbe\u65bd&#xff09;\u6216\u7ba1\u7406\u5b9e\u4f53&#xff08;\u4fe1\u53f7\u63a7\u5236\u5668\u3001\u4ea4\u901a\u7ba1\u7406\u4e2d\u5fc3&#xff09;\u7684\u8f6f\u4ef6\u5b9e\u4f53&#xff0c;\u5177\u6709\u611f\u77e5\u3001\u51b3\u7b56\u3001\u6267\u884c\u548c\u901a\u4fe1\u80fd\u529b\u3002<\/p>\n<p>\u63d0\u793a\u5de5\u7a0b(Prompt Engineering)&#xff1a;\u8bbe\u8ba1\u548c\u4f18\u5316\u8f93\u5165\u63d0\u793a\u4ee5\u5f15\u5bfcAI\u7cfb\u7edf\u4ea7\u751f\u7279\u5b9a\u884c\u4e3a\u548c\u8f93\u51fa\u7684\u8fc7\u7a0b&#xff0c;\u5728Agentic\u7cfb\u7edf\u4e2d\u7528\u4e8e\u5b9a\u4e49\u667a\u80fd\u4f53\u76ee\u6807\u3001\u7ea6\u675f\u3001\u534f\u4f5c\u89c4\u5219\u548c\u884c\u4e3a\u6a21\u5f0f\u3002<\/p>\n<p>\u63d0\u793a\u67b6\u6784\u5e08(Prompt Architect)&#xff1a;\u8d1f\u8d23\u8bbe\u8ba1\u3001\u5b9e\u73b0\u548c\u4f18\u5316\u590d\u6742AI\u7cfb\u7edf\u63d0\u793a\u7ed3\u6784\u7684\u4e13\u4e1a\u89d2\u8272&#xff0c;\u9700\u8981\u517c\u5177\u9886\u57df\u4e13\u4e1a\u77e5\u8bc6\u3001AI\u7cfb\u7edf\u7406\u89e3\u548c\u4eba\u673a\u4ea4\u4e92\u8bbe\u8ba1\u80fd\u529b\u3002<\/p>\n<p>\u4ea4\u901a\u6d41\u91cf\u7ba1\u7406&#xff1a;\u901a\u8fc7\u534f\u8c03\u4ea4\u901a\u53c2\u4e0e\u8005\u884c\u4e3a\u548c\u63a7\u5236\u4ea4\u901a\u57fa\u7840\u8bbe\u65bd&#xff0c;\u4f18\u5316\u4ea4\u901a\u6d41\u7684\u65f6\u7a7a\u5206\u5e03&#xff0c;\u4ee5\u5b9e\u73b0\u6548\u7387\u3001\u5b89\u5168\u3001\u516c\u5e73\u548c\u53ef\u6301\u7eed\u6027\u76ee\u6807\u7684\u7cfb\u7edf\u6027\u8fc7\u7a0b\u3002<\/p>\n<p>\u591a\u667a\u80fd\u4f53\u5f3a\u5316\u5b66\u4e60(MARL)&#xff1a;\u4e00\u79cd\u673a\u5668\u5b66\u4e60\u8303\u5f0f&#xff0c;\u5176\u4e2d\u591a\u4e2a\u667a\u80fd\u4f53\u901a\u8fc7\u4e0e\u73af\u5883\u548c\u5f7c\u6b64\u4ea4\u4e92\u6765\u5b66\u4e60\u6700\u4f18\u51b3\u7b56\u7b56\u7565&#xff0c;\u9002\u7528\u4e8e\u5206\u6563\u5f0f\u51b3\u7b56\u573a\u666f\u3002<\/p>\n<p>\u534f\u540c\u611f\u77e5\u4e0e\u51b3\u7b56&#xff1a;\u591a\u4e2a\u667a\u80fd\u4f53\u5171\u4eab\u611f\u77e5\u4fe1\u606f\u5e76\u5171\u540c\u51b3\u7b56\u7684\u8fc7\u7a0b&#xff0c;\u4ee5\u514b\u670d\u4e2a\u4f53\u611f\u77e5\u9650\u5236\u548c\u4fe1\u606f\u4e0d\u5bf9\u79f0\u3002<\/p>\n<p>\u6d8c\u73b0\u884c\u4e3a&#xff1a;\u7531\u667a\u80fd\u4f53\u95f4\u5c40\u90e8\u4ea4\u4e92\u4ea7\u751f\u7684\u5168\u5c40\u7cfb\u7edf\u884c\u4e3a&#xff0c;\u8fd9\u79cd\u884c\u4e3a\u65e0\u6cd5\u4ece\u5355\u4e2a\u667a\u80fd\u4f53\u7684\u884c\u4e3a\u4e2d\u9884\u6d4b\u3002<\/p>\n<p>\u8fd9\u4e9b\u7cbe\u786e\u5b9a\u4e49\u4e3a\u540e\u7eed\u6df1\u5165\u8ba8\u8bba\u5960\u5b9a\u4e86\u6982\u5ff5\u57fa\u7840&#xff0c;\u907f\u514d\u4e86\u6a21\u7cca\u8868\u8ff0\u5bfc\u81f4\u7684\u7406\u89e3\u504f\u5dee\u3002<\/p>\n<h3>2. \u7406\u8bba\u6846\u67b6<\/h3>\n<h4>2.1 \u7b2c\u4e00\u6027\u539f\u7406\u5206\u6790&#xff1a;\u4ea4\u901a\u7cfb\u7edf\u7684\u57fa\u672c\u516c\u7406\u4e0e\u7ea6\u675f<\/h4>\n<p>\u4ece\u7b2c\u4e00\u6027\u539f\u7406\u51fa\u53d1&#xff0c;\u4ea4\u901a\u6d41\u91cf\u7ba1\u7406\u7cfb\u7edf\u5efa\u7acb\u5728\u51e0\u4e2a\u57fa\u672c\u516c\u7406\u4e4b\u4e0a&#xff1a;<\/p>\n<p>\u516c\u74061&#xff1a;\u4e2a\u4f53\u7406\u6027\u4e0e\u96c6\u4f53\u6700\u4f18\u7684\u51b2\u7a81<br \/>\n\u6bcf\u4e2a\u51fa\u884c\u8005\u57fa\u4e8e\u81ea\u8eab\u5229\u76ca\u6700\u5927\u5316\u8fdb\u884c\u51b3\u7b56&#xff08;\u5982\u6700\u77ed\u8def\u5f84\u9009\u62e9&#xff09;&#xff0c;\u5bfc\u81f4\u96c6\u4f53\u6b21\u4f18\u7ed3\u679c&#xff08;\u5982&#034; Braess\u6096\u8bba&#034;&#xff09;\u3002\u6570\u5b66\u8868\u8ff0\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">arg\u2061max\u2061aiUi(ai,a\u2212i)\u21cfarg\u2061max\u2061AS(A) \\\\arg\\\\max_{a_i} U_i(a_i, a_{-i}) \\\\nRightarrow \\\\arg\\\\max_{A} S(A) <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.5501em;vertical-align: -0.8001em\"><\/span><span class=\"mop\">ar<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4306em\"><span class=\"\" style=\"top: -2.4em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3281em\"><span class=\"\" style=\"top: -2.357em;margin-left: 0em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"\"><span class=\"mop\">max<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8001em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2083em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel amsrm\">\u21cf<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.4943em;vertical-align: -0.7443em\"><\/span><span class=\"mop\">ar<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4306em\"><span class=\"\" style=\"top: -2.3557em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">A<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"\"><span class=\"mop\">max<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7443em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">UiU_i<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u4e2a\u4f53 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">ii<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span> \u7684\u6548\u7528\u51fd\u6570&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">aia_i<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u4e2a\u4f53\u51b3\u7b56&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">a\u2212ia_{-i}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6389em;vertical-align: -0.2083em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2083em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u5176\u4ed6\u6240\u6709\u4e2a\u4f53\u7684\u51b3\u7b56&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">S(A)S(A)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u662f\u7cfb\u7edf\u6574\u4f53\u6027\u80fd\u6307\u6807\u3002<\/p>\n<p>\u516c\u74062&#xff1a;\u4ea4\u901a\u6d41\u7684\u5b88\u6052\u7279\u6027<br \/>\n\u5728\u65e0\u6e90\u65e0\u6c47\u7684\u9053\u8def\u7f51\u7edc\u4e2d&#xff0c;\u4efb\u610f\u533a\u57df\u7684\u6d41\u5165\u6d41\u91cf\u7b49\u4e8e\u6d41\u51fa\u6d41\u91cf\u52a0\u4e0a\u533a\u57df\u5185\u7d2f\u79ef\u91cf\u53d8\u5316\u7387&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u2202\u03c1(x,t)\u2202t&#043;\u2202q(x,t)\u2202x&#061;0 \\\\frac{\\\\partial \\\\rho(x,t)}{\\\\partial t} &#043; \\\\frac{\\\\partial q(x,t)}{\\\\partial x} &#061; 0 <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 2.113em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.427em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\" style=\"margin-right: 0.0556em\">\u2202<\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\" style=\"margin-right: 0.0556em\">\u2202<\/span><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.113em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.427em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\" style=\"margin-right: 0.0556em\">\u2202<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\" style=\"margin-right: 0.0556em\">\u2202<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c1(x,t)\\\\rho(x,t)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u662f\u4f4d\u7f6e <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">xx<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span> \u548c\u65f6\u95f4 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">tt<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6151em\"><\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><\/span><\/span> \u7684\u4ea4\u901a\u5bc6\u5ea6&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">q(x,t)q(x,t)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">q<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u662f\u4ea4\u901a\u6d41\u91cf\u3002<\/p>\n<p>\u516c\u74063&#xff1a;\u611f\u77e5-\u51b3\u7b56-\u884c\u52a8\u5faa\u73af\u7684\u65f6\u95f4\u7ea6\u675f<br \/>\n\u6240\u6709\u4ea4\u901a\u53c2\u4e0e\u8005\u548c\u7ba1\u7406\u8005\u7684\u51b3\u7b56\u90fd\u53d7\u5230\u611f\u77e5\u5ef6\u8fdf\u3001\u8ba1\u7b97\u5ef6\u8fdf\u548c\u6267\u884c\u5ef6\u8fdf\u7684\u9650\u5236&#xff0c;\u8fd9\u4e9b\u5ef6\u8fdf\u5171\u540c\u6784\u6210\u4e86\u7cfb\u7edf\u54cd\u5e94\u7684\u57fa\u672c\u7ea6\u675f&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4total&#061;\u03c4perception&#043;\u03c4decision&#043;\u03c4execution \\\\tau_{total} &#061; \\\\tau_{perception} &#043; \\\\tau_{decision} &#043; \\\\tau_{execution} <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0197em\">l<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">p<\/span><span class=\"mord mathnormal mtight\">erce<\/span><span class=\"mord mathnormal mtight\">pt<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">d<\/span><span class=\"mord mathnormal mtight\">ec<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mord mathnormal mtight\">s<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">e<\/span><span class=\"mord mathnormal mtight\">x<\/span><span class=\"mord mathnormal mtight\">ec<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u516c\u74064&#xff1a;\u4e0d\u786e\u5b9a\u6027\u7684\u4e0d\u53ef\u6d88\u9664\u6027<br \/>\n\u4ea4\u901a\u7cfb\u7edf\u4e2d\u7684\u9700\u6c42\u3001\u4f9b\u7ed9\u548c\u73af\u5883\u6761\u4ef6\u672c\u8d28\u4e0a\u662f\u4e0d\u786e\u5b9a\u7684&#xff0c;\u8868\u73b0\u4e3a&#xff1a;<\/p>\n<ul>\n<li>\u9700\u6c42\u4e0d\u786e\u5b9a\u6027&#xff1a;\u51fa\u884c\u8005\u7684\u51fa\u53d1\u65f6\u95f4\u3001\u76ee\u7684\u5730\u3001\u8def\u5f84\u9009\u62e9<\/li>\n<li>\u4f9b\u7ed9\u4e0d\u786e\u5b9a\u6027&#xff1a;\u9053\u8def\u5bb9\u91cf\u53d8\u5316\u3001\u4fe1\u53f7\u6545\u969c\u3001\u4e34\u65f6\u4e8b\u4ef6<\/li>\n<li>\u73af\u5883\u4e0d\u786e\u5b9a\u6027&#xff1a;\u5929\u6c14\u6761\u4ef6\u3001\u7a81\u53d1\u4e8b\u4ef6\u3001\u7279\u6b8a\u6d3b\u52a8<\/li>\n<\/ul>\n<p>\u601d\u60f3\u5b9e\u9a8c&#xff1a;\u5b8c\u5168\u7406\u6027\u4e0e\u5b8c\u7f8e\u4fe1\u606f\u7684\u5c40\u9650<\/p>\n<p>\u5047\u8bbe\u6709\u4e00\u4e2a\u4ea4\u901a\u7cfb\u7edf&#xff0c;\u5176\u4e2d\u6240\u6709\u51fa\u884c\u8005\u90fd\u62e5\u6709\u5b8c\u7f8e\u4fe1\u606f\u5e76\u505a\u51fa\u5b8c\u5168\u7406\u6027\u51b3\u7b56\u3002\u6839\u636e\u7eb3\u4ec0\u5747\u8861\u7406\u8bba&#xff0c;\u7cfb\u7edf\u5c06\u6536\u655b\u5230\u4e00\u4e2a\u65e0\u6cd5\u901a\u8fc7\u4e2a\u4f53\u6539\u53d8\u800c\u6539\u8fdb\u7684\u72b6\u6001&#xff0c;\u4f46\u8fd9\u4e00\u72b6\u6001\u901a\u5e38\u4e0d\u662f\u793e\u4f1a\u6700\u4f18\u7684\u3002\u8fd9\u4e00\u601d\u60f3\u5b9e\u9a8c\u63ed\u793a\u4e86&#xff1a;\u5373\u4f7f\u5728\u7406\u60f3\u4fe1\u606f\u6761\u4ef6\u4e0b&#xff0c;\u4e2a\u4f53\u7406\u6027\u4e5f\u4e0d\u8db3\u4ee5\u5b9e\u73b0\u7cfb\u7edf\u6700\u4f18&#xff0c;\u9700\u8981\u5916\u90e8\u534f\u8c03\u673a\u5236\u2014\u2014\u8fd9\u6b63\u662fAgentic AI\u7cfb\u7edf\u548c\u63d0\u793a\u5de5\u7a0b\u7684\u4ef7\u503c\u6240\u5728\u3002<\/p>\n<h4>2.2 \u6570\u5b66\u5f62\u5f0f\u5316&#xff1a;\u4ea4\u901a\u667a\u80fd\u4f53\u7cfb\u7edf\u7684\u7406\u8bba\u6a21\u578b<\/h4>\n<h5>2.2.1 \u4ea4\u901a\u6d41\u7684\u5b8f\u89c2\u4e0e\u5fae\u89c2\u6a21\u578b<\/h5>\n<p>\u5b8f\u89c2\u4ea4\u901a\u6d41\u6a21\u578b\u57fa\u4e8e\u6d41\u4f53\u529b\u5b66\u7406\u8bba&#xff0c;\u5c06\u4ea4\u901a\u6d41\u89c6\u4e3a\u8fde\u7eed\u4ecb\u8d28&#xff1a;<\/p>\n<p>\u901f\u5ea6-\u5bc6\u5ea6\u5173\u7cfb&#xff1a;$ v(\\\\rho) &#061; v_f (1 &#8211; \\\\frac{\\\\rho}{\\\\rho_j}) $<\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">vfv_f<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7167em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1076em\">f<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u81ea\u7531\u6d41\u901f\u5ea6&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c1j\\\\rho_j<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7167em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u963b\u585e\u5bc6\u5ea6\u3002<\/p>\n<p>\u6d41\u91cf-\u5bc6\u5ea6\u5173\u7cfb&#xff08;Greenshields\u6a21\u578b&#xff09;&#xff1a;$ q(\\\\rho) &#061; v_f \\\\rho (1 &#8211; \\\\frac{\\\\rho}{\\\\rho_j}) $<\/p>\n<p>\u5fae\u89c2\u4ea4\u901a\u6d41\u6a21\u578b\u5173\u6ce8\u5355\u4e2a\u8f66\u8f86\u7684\u884c\u4e3a&#xff0c;\u5982\u667a\u80fd\u8ddf\u9a70\u6a21\u578b&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">x\u00a8i(t)&#061;\u03b1i[vi\u2217(hi(t))\u2212x\u02d9i(t)] \\\\ddot{x}_i(t) &#061; \\\\alpha_i [v_i^*(h_i(t)) &#8211; \\\\dot{x}_i(t)] <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6679em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.2222em\"><span class=\"mord\">\u00a8<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0037em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">[<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7387em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">))<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6679em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.1111em\"><span class=\"mord\">\u02d9<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)]<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">xi(t)x_i(t)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">x<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u662f\u8f66\u8f86\u4f4d\u7f6e&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">hi(t)h_i(t)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u662f\u8f66\u5934\u65f6\u8ddd&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">vi\u2217(hi(t))v_i^*(h_i(t))<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0087em;vertical-align: -0.2587em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6887em\"><span class=\"\" style=\"top: -2.4413em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2587em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">h<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">))<\/span><\/span><\/span><\/span><\/span> \u662f\u671f\u671b\u901f\u5ea6\u51fd\u6570&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03b1i\\\\alpha_i<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0037em\">\u03b1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0037em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u7075\u654f\u5ea6\u53c2\u6570\u3002<\/p>\n<h5>2.2.2 \u591a\u667a\u80fd\u4f53\u7cfb\u7edf\u7684\u6570\u5b66\u63cf\u8ff0<\/h5>\n<p>\u8003\u8651\u7531 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">NN<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span> \u4e2a\u667a\u80fd\u4f53\u7ec4\u6210\u7684\u4ea4\u901a\u7ba1\u7406\u7cfb\u7edf&#xff0c;\u6bcf\u4e2a\u667a\u80fd\u4f53 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">a\u2208{1,2,&#8230;,N}a \\\\in \\\\{1, 2, &#8230;, N\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5782em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">1<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">2<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">&#8230;<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span> \u7684\u72b6\u6001\u5b9a\u4e49\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">sa(t)\u2208Sas_a(t) \\\\in S_a<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2208<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">SaS_a<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u667a\u80fd\u4f53 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">aa<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><\/span> \u7684\u72b6\u6001\u7a7a\u95f4\u3002<\/p>\n<p>\u667a\u80fd\u4f53 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">aa<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><\/span> \u7684\u7b56\u7565 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c0a:Sa\u00d7Aa\u2192[0,1]\\\\pi_a: S_a \\\\times A_a \\\\rightarrow [0,1]<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">:<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">A<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\">0<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span> \u5b9a\u4e49\u4e86\u5728\u7ed9\u5b9a\u72b6\u6001\u4e0b\u9009\u62e9\u52a8\u4f5c\u7684\u6982\u7387\u5206\u5e03&#xff0c;\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AaA_a<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">A<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u667a\u80fd\u4f53 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">aa<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><\/span> \u7684\u52a8\u4f5c\u7a7a\u95f4\u3002<\/p>\n<p>\u7cfb\u7edf\u7684\u8054\u5408\u72b6\u6001\u7a7a\u95f4 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">S&#061;\u220fa&#061;1NSaS &#061; \\\\prod_{a&#061;1}^{N} S_a<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.2809em;vertical-align: -0.2997em\"><\/span><span class=\"mop\"><span class=\"mop op-symbol small-op\" style=\"position: relative;top: 0em\">\u220f<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9812em\"><span class=\"\" style=\"top: -2.4003em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2029em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2997em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u8054\u5408\u52a8\u4f5c\u7a7a\u95f4 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">A&#061;\u220fa&#061;1NAaA &#061; \\\\prod_{a&#061;1}^{N} A_a<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.2809em;vertical-align: -0.2997em\"><\/span><span class=\"mop\"><span class=\"mop op-symbol small-op\" style=\"position: relative;top: 0em\">\u220f<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9812em\"><span class=\"\" style=\"top: -2.4003em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.2029em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2997em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">A<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u503c\u51fd\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">Va\u03c0(s)V_a^\\\\pi(s)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6644em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">\u03c0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u8868\u793a\u667a\u80fd\u4f53 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">aa<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><\/span> \u5728\u8054\u5408\u7b56\u7565 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c0&#061;(\u03c01,&#8230;,\u03c0N)\\\\pi &#061; (\\\\pi_1, &#8230;, \\\\pi_N)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">&#8230;<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u4e0b\u4ece\u72b6\u6001 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">ss<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">s<\/span><\/span><\/span><\/span><\/span> \u5f00\u59cb\u7684\u9884\u671f\u7d2f\u79ef\u5956\u52b1\u3002<\/p>\n<p>\u591a\u667a\u80fd\u4f53\u7cfb\u7edf\u7684\u76ee\u6807\u662f\u5b66\u4e60\u8054\u5408\u7b56\u7565 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c0\u2217\\\\pi^*<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6887em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6887em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4ee5\u6700\u5927\u5316\u793e\u4f1a\u798f\u5229\u51fd\u6570&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c0\u2217&#061;arg\u2061max\u2061\u03c0\u2211a&#061;1N\u03b3aVa\u03c0(s0) \\\\pi^* &#061; \\\\arg\\\\max_\\\\pi \\\\sum_{a&#061;1}^{N} \\\\gamma_a V_a^\\\\pi(s_0) <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7387em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7387em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3.0954em;vertical-align: -1.2671em\"><\/span><span class=\"mop\">ar<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4306em\"><span class=\"\" style=\"top: -2.4em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">\u03c0<\/span><\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"\"><span class=\"mop\">max<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.8283em\"><span class=\"\" style=\"top: -1.8829em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mrel mtight\">&#061;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u2211<\/span><\/span><\/span><span class=\"\" style=\"top: -4.3em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.2671em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0556em\">\u03b3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0556em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7144em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.2222em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">\u03c0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">s<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03b3a\\\\gamma_a<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0556em\">\u03b3<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0556em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u667a\u80fd\u4f53 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">aa<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">a<\/span><\/span><\/span><\/span><\/span> \u7684\u6743\u91cd\u7cfb\u6570&#xff0c;\u53cd\u6620\u5176\u5728\u7cfb\u7edf\u76ee\u6807\u4e2d\u7684\u4f18\u5148\u7ea7\u3002<\/p>\n<h5>2.2.3 \u63d0\u793a\u5de5\u7a0b\u7684\u6570\u5b66\u5f62\u5f0f\u5316<\/h5>\n<p>\u63d0\u793a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">PP<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><\/span><\/span><\/span><\/span> \u53ef\u4ee5\u5f62\u5f0f\u5316\u4e3a\u4e00\u4e2a\u5143\u7ec4 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P&#061;(G,C,R,K)P &#061; (G, C, R, K)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">G<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">K<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2d&#xff1a;<\/p>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">GG<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">G<\/span><\/span><\/span><\/span><\/span> \u662f\u76ee\u6807\u51fd\u6570\u96c6\u5408&#xff0c;\u5b9a\u4e49\u667a\u80fd\u4f53\u7684\u4f18\u5316\u76ee\u6807<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">CC<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><\/span><\/span><\/span><\/span> \u662f\u7ea6\u675f\u6761\u4ef6\u96c6\u5408&#xff0c;\u5b9a\u4e49\u667a\u80fd\u4f53\u884c\u4e3a\u7684\u8fb9\u754c<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">RR<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><\/span><\/span><\/span><\/span> \u662f\u89d2\u8272\u5b9a\u4e49&#xff0c;\u6307\u5b9a\u667a\u80fd\u4f53\u5728\u7cfb\u7edf\u4e2d\u7684\u529f\u80fd\u548c\u6743\u9650<\/li>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">KK<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">K<\/span><\/span><\/span><\/span><\/span> \u662f\u80cc\u666f\u77e5\u8bc6&#xff0c;\u63d0\u4f9b\u667a\u80fd\u4f53\u51b3\u7b56\u6240\u9700\u7684\u9886\u57df\u77e5\u8bc6<\/li>\n<\/ul>\n<p>\u63d0\u793a\u5bf9\u667a\u80fd\u4f53\u7b56\u7565\u7684\u5f71\u54cd\u53ef\u4ee5\u8868\u793a\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c0aP(s)&#061;f(P,s,\u03c0a0(s)) \\\\pi_a^P(s) &#061; f(P, s, \\\\pi_a^0(s)) <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.1413em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8913em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">P<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1141em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mclose\">))<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">ff<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><\/span><\/span><\/span><\/span> \u662f\u63d0\u793a\u5904\u7406\u51fd\u6570&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c0a0(s)\\\\pi_a^0(s)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u662f\u667a\u80fd\u4f53\u7684\u57fa\u7840\u7b56\u7565&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c0aP(s)\\\\pi_a^P(s)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0913em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">P<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">s<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u662f\u63d0\u793a\u8c03\u6574\u540e\u7684\u7b56\u7565\u3002<\/p>\n<p>\u63d0\u793a\u4f18\u5316\u95ee\u9898\u5219\u662f\u5bfb\u627e\u6700\u4f18\u63d0\u793a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P\u2217P^*<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6887em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6887em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4f7f\u5f97\u7cfb\u7edf\u6027\u80fd\u6307\u6807\u6700\u5927\u5316&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">P\u2217&#061;arg\u2061max\u2061PJ(\u03c0P) P^* &#061; \\\\arg\\\\max_P J(\\\\pi^P) <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7387em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7387em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2217<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.6357em;vertical-align: -0.7443em\"><\/span><span class=\"mop\">ar<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4306em\"><span class=\"\" style=\"top: -2.3557em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">P<\/span><\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"\"><span class=\"mop\">max<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7443em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0962em\">J<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8913em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">P<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">J(\u03c0P)J(\\\\pi^P)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0913em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0962em\">J<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">P<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u662f\u7cfb\u7edf\u7ea7\u6027\u80fd\u6307\u6807\u3002<\/p>\n<h4>2.3 \u7406\u8bba\u5c40\u9650\u6027&#xff1a;\u73b0\u6709\u6846\u67b6\u7684\u8fb9\u754c\u4e0e\u6311\u6218<\/h4>\n<p>\u5f53\u524dAgentic AI\u5728\u4ea4\u901a\u7ba1\u7406\u4e2d\u7684\u5e94\u7528\u9762\u4e34\u51e0\u4e2a\u6839\u672c\u6027\u7406\u8bba\u6311\u6218&#xff1a;<\/p>\n<p>\u534f\u8c03\u673a\u5236\u7684\u53ef\u6269\u5c55\u6027&#xff1a;\u968f\u7740\u667a\u80fd\u4f53\u6570\u91cf\u589e\u52a0&#xff0c;\u534f\u8c03\u590d\u6742\u5ea6\u5448\u6307\u6570\u589e\u957f\u3002\u5728\u5927\u578b\u57ce\u5e02\u4ea4\u901a\u7f51\u7edc\u4e2d&#xff0c;\u53ef\u80fd\u6d89\u53ca\u6570\u5343\u751a\u81f3\u6570\u767e\u4e07\u667a\u80fd\u4f53&#xff08;\u8f66\u8f86\u3001\u4fe1\u53f7\u63a7\u5236\u5668\u7b49&#xff09;&#xff0c;\u4f20\u7edf\u7684\u591a\u667a\u80fd\u4f53\u534f\u8c03\u7b97\u6cd5&#xff08;\u5982\u57fa\u4e8e\u535a\u5f08\u8bba\u7684\u65b9\u6cd5&#xff09;\u9762\u4e34\u8ba1\u7b97\u590d\u6742\u6027\u548c\u901a\u4fe1\u5f00\u9500\u7684\u53cc\u91cd\u6311\u6218\u3002<\/p>\n<p>\u90e8\u5206\u53ef\u89c2\u6d4b\u6027\u4e0e\u4fe1\u606f\u4e0d\u5bf9\u79f0&#xff1a;\u4ea4\u901a\u7cfb\u7edf\u4e2d&#xff0c;\u6bcf\u4e2a\u667a\u80fd\u4f53\u53ea\u80fd\u83b7\u53d6\u5c40\u90e8\u3001\u6709\u9650\u7684\u7cfb\u7edf\u72b6\u6001\u4fe1\u606f&#xff0c;\u5bfc\u81f4\u51b3\u7b56\u4e0d\u786e\u5b9a\u6027\u3002\u8d1d\u53f6\u65af\u63a8\u65ad\u65b9\u6cd5\u867d\u7136\u53ef\u4ee5\u5904\u7406\u90e8\u5206\u53ef\u89c2\u6d4b\u6027&#xff0c;\u4f46\u8ba1\u7b97\u590d\u6742\u5ea6\u9ad8&#xff0c;\u96be\u4ee5\u5b9e\u65f6\u5e94\u7528\u3002<\/p>\n<p>\u52a8\u6001\u76ee\u6807\u4e0e\u4f18\u5148\u7ea7\u51b2\u7a81&#xff1a;\u4ea4\u901a\u7ba1\u7406\u76ee\u6807&#xff08;\u6548\u7387\u3001\u5b89\u5168\u3001\u516c\u5e73\u3001\u53ef\u6301\u7eed\u6027&#xff09;\u7ecf\u5e38\u76f8\u4e92\u51b2\u7a81&#xff0c;\u4e14\u968f\u65f6\u95f4\u53d8\u5316&#xff08;\u5982\u9ad8\u5cf0\u671fvs\u975e\u9ad8\u5cf0\u671f&#xff09;\u3002\u73b0\u6709\u7684\u591a\u76ee\u6807\u4f18\u5316\u65b9\u6cd5\u96be\u4ee5\u5728\u52a8\u6001\u73af\u5883\u4e2d\u5b9e\u73b0\u76ee\u6807\u7684\u81ea\u9002\u5e94\u5e73\u8861\u3002<\/p>\n<p>\u6d8c\u73b0\u884c\u4e3a\u7684\u4e0d\u53ef\u9884\u6d4b\u6027&#xff1a;\u591a\u667a\u80fd\u4f53\u7cfb\u7edf\u7684\u6d8c\u73b0\u6027\u884c\u4e3a\u96be\u4ee5\u4ece\u4e2a\u4f53\u884c\u4e3a\u89c4\u5219\u4e2d\u9884\u6d4b&#xff0c;\u53ef\u80fd\u5bfc\u81f4\u610f\u5916\u7684\u7cfb\u7edf\u7ea7\u884c\u4e3a&#xff08;\u5982\u7a81\u7136\u62e5\u5835&#xff09;\u3002\u5f53\u524d\u7f3a\u4e4f\u6709\u6548\u7684\u65b9\u6cd5\u6765\u5206\u6790\u548c\u63a7\u5236\u8fd9\u79cd\u6d8c\u73b0\u6027\u884c\u4e3a\u3002<\/p>\n<p>\u4eba\u673a\u534f\u4f5c\u7684\u7406\u8bba\u57fa\u7840&#xff1a;\u4eba\u7c7b\u51fa\u884c\u8005\u4e0eAI\u667a\u80fd\u4f53\u7684\u534f\u4f5c\u7f3a\u4e4f\u575a\u5b9e\u7684\u7406\u8bba\u57fa\u7840&#xff0c;\u7279\u522b\u662f\u5728\u4fe1\u4efb\u52a8\u6001\u3001\u900f\u660e\u5ea6\u9700\u6c42\u548c\u51b3\u7b56\u6743\u5a01\u5206\u914d\u65b9\u9762\u3002<\/p>\n<p>\u8fd9\u4e9b\u7406\u8bba\u5c40\u9650\u6027\u4e0d\u662f\u6280\u672f\u5b9e\u73b0\u95ee\u9898&#xff0c;\u800c\u662f\u9700\u8981\u4ece\u6839\u672c\u4e0a\u6269\u5c55\u73b0\u6709\u7406\u8bba\u6846\u67b6&#xff0c;\u5c06\u4ea4\u901a\u5de5\u7a0b\u3001AI\u7406\u8bba\u3001\u535a\u5f08\u8bba\u3001\u793e\u4f1a\u9009\u62e9\u7406\u8bba\u548c\u884c\u4e3a\u7ecf\u6d4e\u5b66\u7b49\u591a\u5b66\u79d1\u89c6\u89d2\u6574\u5408\u8d77\u6765\u3002<\/p>\n<h4>2.4 \u7ade\u4e89\u8303\u5f0f\u5206\u6790&#xff1a;\u4e0d\u540c\u667a\u80fd\u4ea4\u901a\u7ba1\u7406\u65b9\u6cd5\u7684\u6bd4\u8f83<\/h4>\n<table>\n<tr>\u7279\u5f81\u4f20\u7edf\u96c6\u4e2d\u5f0f\u63a7\u5236\u5b64\u7acb\u667a\u80fd\u7cfb\u7edfAgentic AI\u7cfb\u7edf<\/tr>\n<tbody>\n<tr>\n<td>\u51b3\u7b56\u67b6\u6784<\/td>\n<td>\u4e2d\u592e\u5904\u7406\u5668\u96c6\u4e2d\u51b3\u7b56<\/td>\n<td>\u5404\u7cfb\u7edf\u72ec\u7acb\u51b3\u7b56<\/td>\n<td>\u5206\u5e03\u5f0f\u667a\u80fd\u4f53\u534f\u540c\u51b3\u7b56<\/td>\n<\/tr>\n<tr>\n<td>\u4fe1\u606f\u5904\u7406<\/td>\n<td>\u96c6\u4e2d\u5f0f\u6570\u636e\u6536\u96c6\u4e0e\u5206\u6790<\/td>\n<td>\u5c40\u90e8\u6570\u636e&#xff0c;\u6709\u9650\u5171\u4eab<\/td>\n<td>\u5206\u5e03\u5f0f\u611f\u77e5\u4e0e\u4fe1\u606f\u5171\u4eab<\/td>\n<\/tr>\n<tr>\n<td>\u9002\u5e94\u6027<\/td>\n<td>\u9884\u5b9a\u4e49\u89c4\u5219&#xff0c;\u6709\u9650\u9002\u5e94<\/td>\n<td>\u5c40\u90e8\u81ea\u9002\u5e94&#xff0c;\u7f3a\u4e4f\u5168\u5c40\u534f\u8c03<\/td>\n<td>\u5168\u5c40\u534f\u8c03\u4e0b\u7684\u5c40\u90e8\u81ea\u9002\u5e94<\/td>\n<\/tr>\n<tr>\n<td>\u53ef\u6269\u5c55\u6027<\/td>\n<td>\u968f\u7cfb\u7edf\u89c4\u6a21\u6307\u6570\u7ea7\u4e0b\u964d<\/td>\n<td>\u6a21\u5757\u5316\u6269\u5c55&#xff0c;\u534f\u8c03\u6210\u672c\u9ad8<\/td>\n<td>\u7f51\u7edc\u5316\u6269\u5c55&#xff0c;\u534f\u8c03\u6210\u672c\u7ebf\u6027\u589e\u957f<\/td>\n<\/tr>\n<tr>\n<td>\u9c81\u68d2\u6027<\/td>\n<td>\u5355\u70b9\u6545\u969c\u98ce\u9669\u9ad8<\/td>\n<td>\u5c40\u90e8\u6545\u969c\u5f71\u54cd\u6709\u9650<\/td>\n<td>\u9ad8\u5ea6\u5bb9\u9519&#xff0c;\u81ea\u4fee\u590d\u80fd\u529b<\/td>\n<\/tr>\n<tr>\n<td>\u516c\u5e73\u6027<\/td>\n<td>\u7edf\u4e00\u89c4\u5219&#xff0c;\u5ffd\u7565\u4e2a\u4f53\u5dee\u5f02<\/td>\n<td>\u53ef\u80fd\u52a0\u5267\u4e0d\u516c\u5e73<\/td>\n<td>\u53ef\u901a\u8fc7\u63d0\u793a\u5de5\u7a0b\u660e\u786e\u4f18\u5316\u516c\u5e73\u6027<\/td>\n<\/tr>\n<tr>\n<td>\u900f\u660e\u5ea6<\/td>\n<td>\u96c6\u4e2d\u5f0f\u51b3\u7b56\u8fc7\u7a0b\u4e0d\u900f\u660e<\/td>\n<td>\u5c40\u90e8\u900f\u660e&#xff0c;\u6574\u4f53\u884c\u4e3a\u96be\u4ee5\u89e3\u91ca<\/td>\n<td>\u53ef\u8bbe\u8ba1\u900f\u660e\u51b3\u7b56\u8fc7\u7a0b\u4e0e\u89e3\u91ca\u673a\u5236<\/td>\n<\/tr>\n<tr>\n<td>\u5b9e\u65bd\u590d\u6742\u5ea6<\/td>\n<td>\u7cfb\u7edf\u96c6\u6210\u590d\u6742&#xff0c;\u90e8\u7f72\u5468\u671f\u957f<\/td>\n<td>\u6a21\u5757\u72ec\u7acb\u5b9e\u65bd&#xff0c;\u534f\u8c03\u56f0\u96be<\/td>\n<td>\u6e10\u8fdb\u5f0f\u90e8\u7f72&#xff0c;\u52a8\u6001\u96c6\u6210<\/td>\n<\/tr>\n<tr>\n<td>\u80fd\u6e90\u6548\u7387<\/td>\n<td>\u6b21\u4f18&#xff0c;\u56e0\u53cd\u5e94\u8fdf\u7f13\u5bfc\u81f4\u989d\u5916\u80fd\u8017<\/td>\n<td>\u5c40\u90e8\u4f18\u5316&#xff0c;\u5168\u5c40\u6b21\u4f18<\/td>\n<td>\u5168\u5c40\u4f18\u5316&#xff0c;\u51cf\u5c11\u65e0\u6548\u80fd\u8017<\/td>\n<\/tr>\n<tr>\n<td>\u4e3b\u8981\u6311\u6218<\/td>\n<td>\u53ef\u6269\u5c55\u6027\u3001\u5b9e\u65f6\u6027<\/td>\n<td>\u534f\u8c03\u3001\u5168\u5c40\u4f18\u5316<\/td>\n<td>\u7406\u8bba\u57fa\u7840\u3001\u6807\u51c6\u3001\u9a8c\u8bc1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Agentic AI\u7cfb\u7edf\u76f8\u6bd4\u4f20\u7edf\u65b9\u6cd5\u7684\u6838\u5fc3\u4f18\u52bf\u5728\u4e8e&#xff1a;<\/p>\n<li>\u53ef\u6269\u5c55\u6027&#xff1a;\u901a\u8fc7\u5206\u5e03\u5f0f\u667a\u80fd\u4f53\u7f51\u7edc\u5b9e\u73b0\u7cfb\u7edf\u89c4\u6a21\u7684\u7ebf\u6027\u6269\u5c55<\/li>\n<li>\u9002\u5e94\u6027&#xff1a;\u7ed3\u5408\u5c40\u90e8\u5b9e\u65f6\u54cd\u5e94\u548c\u5168\u5c40\u534f\u8c03\u4f18\u5316<\/li>\n<li>\u9c81\u68d2\u6027&#xff1a;\u53bb\u4e2d\u5fc3\u5316\u67b6\u6784\u51cf\u5c11\u5355\u70b9\u6545\u969c\u98ce\u9669<\/li>\n<li>\u4e2a\u6027\u5316\u4e0e\u516c\u5e73\u6027&#xff1a;\u901a\u8fc7\u7cbe\u7ec6\u7684\u63d0\u793a\u5de5\u7a0b\u5b9e\u73b0\u5dee\u5f02\u5316\u670d\u52a1\u548c\u516c\u5e73\u6027\u4fdd\u969c<\/li>\n<p>\u7136\u800c&#xff0c;\u8fd9\u4e9b\u4f18\u52bf\u7684\u5b9e\u73b0\u4f9d\u8d56\u4e8e\u7cbe\u5fc3\u8bbe\u8ba1\u7684\u63d0\u793a\u67b6\u6784\u548c\u667a\u80fd\u4f53\u534f\u4f5c\u673a\u5236&#xff0c;\u8fd9\u6b63\u662f\u63d0\u793a\u67b6\u6784\u5e08\u7684\u6838\u5fc3\u4ef7\u503c\u6240\u5728\u3002<\/p>\n<h3>3. \u67b6\u6784\u8bbe\u8ba1<\/h3>\n<h4>3.1 \u7cfb\u7edf\u5206\u89e3&#xff1a;\u4ea4\u901a\u667a\u80fd\u4f53\u751f\u6001\u7cfb\u7edf\u7684\u7ec4\u4ef6\u7ed3\u6784<\/h4>\n<p>Agentic\u4ea4\u901a\u6d41\u91cf\u7ba1\u7406\u7cfb\u7edf\u91c7\u7528\u5c42\u6b21\u5316\u3001\u6a21\u5757\u5316\u7684\u67b6\u6784\u8bbe\u8ba1&#xff0c;\u5305\u542b\u4ee5\u4e0b\u6838\u5fc3\u7ec4\u4ef6&#xff1a;<\/p>\n<h5>3.1.1 \u667a\u80fd\u4f53\u5c42&#xff08;Agent Layer&#xff09;<\/h5>\n<p>\u4ea4\u901a\u53c2\u4e0e\u8005\u667a\u80fd\u4f53<\/p>\n<ul>\n<li>\u4e2a\u4eba\u51fa\u884c\u667a\u80fd\u4f53&#xff1a;\u4ee3\u8868\u4e2a\u4f53\u7528\u6237&#xff0c;\u7ba1\u7406\u51fa\u884c\u8ba1\u5212\u3001\u8def\u5f84\u9009\u62e9\u548c\u591a\u6a21\u5f0f\u4ea4\u901a\u534f\u8c03<\/li>\n<li>\u8f66\u8f86\u667a\u80fd\u4f53&#xff1a;\u63a7\u5236\u5355\u4e2a\u8f66\u8f86\u7684\u5bfc\u822a\u3001\u901f\u5ea6\u8c03\u6574\u548c\u534f\u4f5c\u884c\u4e3a<\/li>\n<li>\u516c\u5171\u4ea4\u901a\u667a\u80fd\u4f53&#xff1a;\u7ba1\u7406\u516c\u4ea4\u8f66\u8f86\u3001\u5730\u94c1\u7b49\u516c\u5171\u4ea4\u901a\u7684\u8fd0\u8425\u548c\u8c03\u5ea6<\/li>\n<\/ul>\n<p>\u57fa\u7840\u8bbe\u65bd\u667a\u80fd\u4f53<\/p>\n<ul>\n<li>\u4fe1\u53f7\u63a7\u5236\u667a\u80fd\u4f53&#xff1a;\u7ba1\u7406\u4ea4\u53c9\u53e3\u4fe1\u53f7\u706f\u914d\u65f6\u548c\u76f8\u4f4d\u5207\u6362<\/li>\n<li>\u4ea4\u901a\u6807\u5fd7\u667a\u80fd\u4f53&#xff1a;\u63a7\u5236\u52a8\u6001\u8f66\u9053\u6807\u5fd7\u3001\u53ef\u53d8\u9650\u901f\u6807\u5fd7\u7b49<\/li>\n<li>\u68c0\u6d4b\u667a\u80fd\u4f53&#xff1a;\u5904\u7406\u6765\u81ea\u6444\u50cf\u5934\u3001\u96f7\u8fbe\u3001\u4f20\u611f\u5668\u7684\u4ea4\u901a\u72b6\u6001\u6570\u636e<\/li>\n<\/ul>\n<p>\u7ba1\u7406\u667a\u80fd\u4f53<\/p>\n<ul>\n<li>\u533a\u57df\u534f\u8c03\u667a\u80fd\u4f53&#xff1a;\u534f\u8c03\u7279\u5b9a\u5730\u7406\u533a\u57df\u5185\u7684\u6240\u6709\u667a\u80fd\u4f53<\/li>\n<li>\u8d44\u6e90\u5206\u914d\u667a\u80fd\u4f53&#xff1a;\u4f18\u5316\u4ea4\u901a\u8d44\u6e90&#xff08;\u5982\u8f66\u9053\u3001\u505c\u8f66\u573a&#xff09;\u7684\u52a8\u6001\u5206\u914d<\/li>\n<li>\u7d27\u6025\u54cd\u5e94\u667a\u80fd\u4f53&#xff1a;\u5904\u7406\u4e8b\u6545\u3001\u81ea\u7136\u707e\u5bb3\u7b49\u7d27\u6025\u60c5\u51b5<\/li>\n<\/ul>\n<p>\u670d\u52a1\u667a\u80fd\u4f53<\/p>\n<ul>\n<li>\u4fe1\u606f\u670d\u52a1\u667a\u80fd\u4f53&#xff1a;\u5411\u51fa\u884c\u8005\u63d0\u4f9b\u4e2a\u6027\u5316\u4ea4\u901a\u4fe1\u606f<\/li>\n<li>\u9884\u6d4b\u667a\u80fd\u4f53&#xff1a;\u9884\u6d4b\u77ed\u671f\u548c\u4e2d\u671f\u4ea4\u901a\u6d41\u91cf\u53d8\u5316<\/li>\n<li>\u4f18\u5316\u667a\u80fd\u4f53&#xff1a;\u63d0\u4f9b\u7cfb\u7edf\u7ea7\u4f18\u5316\u5efa\u8bae\u548c\u957f\u671f\u89c4\u5212\u652f\u6301<\/li>\n<\/ul>\n<h5>3.1.2 \u901a\u4fe1\u5c42&#xff08;Communication Layer&#xff09;<\/h5>\n<p>\u901a\u4fe1\u534f\u8bae<\/p>\n<ul>\n<li>\u667a\u80fd\u4f53\u95f4\u76f4\u63a5\u901a\u4fe1&#xff1a;\u57fa\u4e8e\u53d1\u5e03-\u8ba2\u9605\u6a21\u5f0f\u7684\u5b9e\u65f6\u6d88\u606f\u4f20\u9012<\/li>\n<li>\u4fe1\u606f\u5171\u4eab\u7f51\u7edc&#xff1a;\u5206\u5e03\u5f0f\u6570\u636e\u5b58\u50a8\u4e0e\u68c0\u7d22\u7cfb\u7edf<\/li>\n<li>\u5c42\u7ea7\u534f\u8c03\u901a\u9053&#xff1a;\u533a\u57df\u4e0e\u5168\u5c40\u534f\u8c03\u7684\u4e13\u7528\u901a\u4fe1\u8def\u5f84<\/li>\n<\/ul>\n<p>\u6570\u636e\u4ea4\u6362\u683c\u5f0f<\/p>\n<ul>\n<li>\u6807\u51c6\u5316\u4ea4\u901a\u6570\u636e\u6a21\u578b&#xff1a;\u7edf\u4e00\u7684\u4ea4\u901a\u72b6\u6001\u8868\u793a\u683c\u5f0f<\/li>\n<li>\u667a\u80fd\u4f53\u80fd\u529b\u63cf\u8ff0&#xff1a;\u667a\u80fd\u4f53\u529f\u80fd\u548c\u670d\u52a1\u7684\u6807\u51c6\u5316\u63cf\u8ff0<\/li>\n<li>\u51b3\u7b56\u7406\u7531\u4ea4\u6362&#xff1a;\u652f\u6301\u53ef\u89e3\u91ca\u6027\u7684\u51b3\u7b56\u8fc7\u7a0b\u8868\u793a<\/li>\n<\/ul>\n<h5>3.1.3 \u77e5\u8bc6\u5c42&#xff08;Knowledge Layer&#xff09;<\/h5>\n<p>\u9886\u57df\u77e5\u8bc6\u5e93<\/p>\n<ul>\n<li>\u4ea4\u901a\u7f51\u7edc\u62d3\u6251&#xff1a;\u9053\u8def\u3001\u4ea4\u53c9\u53e3\u3001\u57fa\u7840\u8bbe\u65bd\u7684\u7ed3\u6784\u5316\u8868\u793a<\/li>\n<li>\u4ea4\u901a\u89c4\u5219\u5e93&#xff1a;\u6cd5\u5f8b\u6cd5\u89c4\u3001\u4ea4\u901a\u7ba1\u5236\u63aa\u65bd\u7684\u5f62\u5f0f\u5316\u8868\u793a<\/li>\n<li>\u5386\u53f2\u6a21\u5f0f\u5e93&#xff1a;\u4ea4\u901a\u6d41\u6a21\u5f0f\u3001\u51fa\u884c\u884c\u4e3a\u7684\u5386\u53f2\u6570\u636e\u4e0e\u6a21\u578b<\/li>\n<\/ul>\n<p>\u5b9e\u65f6\u77e5\u8bc6\u56fe\u8c31<\/p>\n<ul>\n<li>\u52a8\u6001\u4ea4\u901a\u72b6\u6001&#xff1a;\u5b9e\u65f6\u4ea4\u901a\u6d41\u3001\u62e5\u5835\u72b6\u51b5\u3001\u4e8b\u4ef6\u4fe1\u606f<\/li>\n<li>\u667a\u80fd\u4f53\u72b6\u6001\u7f51\u7edc&#xff1a;\u6240\u6709\u667a\u80fd\u4f53\u7684\u5f53\u524d\u72b6\u6001\u548c\u80fd\u529b<\/li>\n<li>\u73af\u5883\u6761\u4ef6&#xff1a;\u5929\u6c14\u3001\u7279\u6b8a\u4e8b\u4ef6\u3001\u4e34\u65f6\u7ba1\u5236\u7b49\u5f71\u54cd\u56e0\u7d20<\/li>\n<\/ul>\n<h5>3.1.4 \u63d0\u793a\u5de5\u7a0b\u5c42&#xff08;Prompt Engineering Layer&#xff09;<\/h5>\n<p>\u63d0\u793a\u6a21\u677f\u5e93<\/p>\n<ul>\n<li>\u667a\u80fd\u4f53\u89d2\u8272\u5b9a\u4e49\u6a21\u677f&#xff1a;\u6807\u51c6\u5316\u7684\u667a\u80fd\u4f53\u89d2\u8272\u548c\u80fd\u529b\u63cf\u8ff0<\/li>\n<li>\u76ee\u6807\u8bbe\u5b9a\u6846\u67b6&#xff1a;\u591a\u76ee\u6807\u4f18\u5316\u7684\u63d0\u793a\u7ed3\u6784<\/li>\n<li>\u534f\u8c03\u89c4\u5219\u6a21\u677f&#xff1a;\u667a\u80fd\u4f53\u95f4\u534f\u4f5c\u7684\u6807\u51c6\u5316\u89c4\u5219<\/li>\n<\/ul>\n<p>\u63d0\u793a\u4f18\u5316\u5f15\u64ce<\/p>\n<ul>\n<li>\u63d0\u793a\u6548\u679c\u8bc4\u4f30\u5668&#xff1a;\u6d4b\u91cf\u63d0\u793a\u5bf9\u7cfb\u7edf\u6027\u80fd\u7684\u5f71\u54cd<\/li>\n<li>\u81ea\u9002\u5e94\u63d0\u793a\u8c03\u6574\u5668&#xff1a;\u6839\u636e\u7cfb\u7edf\u72b6\u6001\u52a8\u6001\u4f18\u5316\u63d0\u793a<\/li>\n<li>A\/B\u6d4b\u8bd5\u6846\u67b6&#xff1a;\u6bd4\u8f83\u4e0d\u540c\u63d0\u793a\u7b56\u7565\u7684\u6548\u679c<\/li>\n<\/ul>\n<h5>3.1.5 \u5b89\u5168\u4e0e\u9690\u79c1\u5c42&#xff08;Security &amp; Privacy Layer&#xff09;<\/h5>\n<p>\u8eab\u4efd\u4e0e\u8bbf\u95ee\u7ba1\u7406<\/p>\n<ul>\n<li>\u667a\u80fd\u4f53\u8eab\u4efd\u9a8c\u8bc1&#xff1a;\u786e\u4fdd\u667a\u80fd\u4f53\u8eab\u4efd\u7684\u771f\u5b9e\u6027<\/li>\n<li>\u6743\u9650\u63a7\u5236\u7cfb\u7edf&#xff1a;\u57fa\u4e8e\u89d2\u8272\u7684\u8bbf\u95ee\u63a7\u5236<\/li>\n<li>\u5b89\u5168\u901a\u4fe1\u901a\u9053&#xff1a;\u52a0\u5bc6\u7684\u667a\u80fd\u4f53\u901a\u4fe1\u673a\u5236<\/li>\n<\/ul>\n<p>\u9690\u79c1\u4fdd\u62a4\u673a\u5236<\/p>\n<ul>\n<li>\u6570\u636e\u533f\u540d\u5316\u5904\u7406&#xff1a;\u4e2a\u4eba\u8eab\u4efd\u4fe1\u606f\u7684\u4fdd\u62a4<\/li>\n<li>\u5dee\u5206\u9690\u79c1\u6280\u672f&#xff1a;\u805a\u5408\u6570\u636e\u4e2d\u7684\u9690\u79c1\u4fdd\u62a4<\/li>\n<li>\u672c\u5730\u8ba1\u7b97\u4f18\u5148&#xff1a;\u654f\u611f\u6570\u636e\u7684\u672c\u5730\u5904\u7406\u7b56\u7565<\/li>\n<\/ul>\n<h4>3.2 \u7ec4\u4ef6\u4ea4\u4e92\u6a21\u578b&#xff1a;\u667a\u80fd\u4f53\u534f\u4f5c\u7684\u52a8\u6001\u8fc7\u7a0b<\/h4>\n<p>Agentic\u4ea4\u901a\u7cfb\u7edf\u4e2d\u7684\u667a\u80fd\u4f53\u901a\u8fc7\u5b9a\u4e49\u660e\u786e\u7684\u4ea4\u4e92\u6a21\u5f0f\u5b9e\u73b0\u534f\u4f5c&#xff0c;\u4e3b\u8981\u5305\u62ec&#xff1a;<\/p>\n<h5>3.2.1 \u4ea4\u4e92\u6a21\u5f0f<\/h5>\n<p>\u8bf7\u6c42-\u54cd\u5e94\u6a21\u5f0f&#xff1a;\u4e00\u4e2a\u667a\u80fd\u4f53\u8bf7\u6c42\u7279\u5b9a\u4fe1\u606f\u6216\u670d\u52a1&#xff0c;\u53e6\u4e00\u4e2a\u667a\u80fd\u4f53\u63d0\u4f9b\u54cd\u5e94\u3002\u4f8b\u5982&#xff0c;\u8f66\u8f86\u667a\u80fd\u4f53\u8bf7\u6c42\u8def\u7ebf\u5efa\u8bae&#xff0c;\u4fe1\u606f\u670d\u52a1\u667a\u80fd\u4f53\u63d0\u4f9b\u6700\u4f18\u8def\u5f84\u3002<\/p>\n<p>\u8f66\u8f86\u667a\u80fd\u4f53 \u2192 [\u8def\u5f84\u8bf7\u6c42: \u8d77\u70b9A, \u7ec8\u70b9B, \u504f\u597d: \u6700\u5feb] \u2192 \u4fe1\u606f\u670d\u52a1\u667a\u80fd\u4f53<br \/>\n\u8f66\u8f86\u667a\u80fd\u4f53 \u2190 [\u8def\u5f84\u54cd\u5e94: \u8def\u7ebfR, \u9884\u8ba1\u65f6\u95f4T, \u4e0d\u786e\u5b9a\u6027U] \u2190 \u4fe1\u606f\u670d\u52a1\u667a\u80fd\u4f53<\/p>\n<p>\u53d1\u5e03-\u8ba2\u9605\u6a21\u5f0f&#xff1a;\u667a\u80fd\u4f53\u53d1\u5e03\u7279\u5b9a\u7c7b\u578b\u7684\u4e8b\u4ef6\u6216\u6570\u636e&#xff0c;\u5176\u4ed6\u667a\u80fd\u4f53\u8ba2\u9605\u611f\u5174\u8da3\u7684\u4fe1\u606f\u3002\u4f8b\u5982&#xff0c;\u68c0\u6d4b\u667a\u80fd\u4f53\u53d1\u5e03\u4ea4\u901a\u4e8b\u4ef6&#xff0c;\u76f8\u5173\u533a\u57df\u7684\u8f66\u8f86\u667a\u80fd\u4f53\u63a5\u6536\u901a\u77e5\u3002<\/p>\n<p>\u68c0\u6d4b\u667a\u80fd\u4f53 \u2192 [\u4e8b\u4ef6\u53d1\u5e03: \u7c7b\u578b&#061;\u4e8b\u6545, \u4f4d\u7f6e&#061;L, \u4e25\u91cd\u7a0b\u5ea6&#061;\u4e2d] \u2192 \u4e8b\u4ef6\u603b\u7ebf<br \/>\n\u8f66\u8f86\u667a\u80fd\u4f53 \u2190 [\u4e8b\u4ef6\u8ba2\u9605: \u533a\u57df&#061;R, \u7c7b\u578b&#061;\u4e8b\u6545] \u2190 \u4e8b\u4ef6\u603b\u7ebf<\/p>\n<p>\u534f\u5546\u6a21\u5f0f&#xff1a;\u591a\u4e2a\u667a\u80fd\u4f53\u901a\u8fc7\u591a\u8f6e\u4fe1\u606f\u4ea4\u6362\u8fbe\u6210\u5171\u8bc6\u6216\u5206\u914d\u8d44\u6e90\u3002\u4f8b\u5982&#xff0c;\u4fe1\u53f7\u63a7\u5236\u667a\u80fd\u4f53\u534f\u8c03\u4ea4\u53c9\u53e3\u76f8\u4f4d\u5206\u914d\u3002<\/p>\n<p>\u4fe1\u53f7\u667a\u80fd\u4f53A \u2192 [\u63d0\u8bae: \u76f8\u4f4d\u8ba1\u5212P1, \u9884\u671f\u6536\u76caG1] \u2192 \u534f\u8c03\u667a\u80fd\u4f53<br \/>\n\u4fe1\u53f7\u667a\u80fd\u4f53B \u2192 [\u63d0\u8bae: \u76f8\u4f4d\u8ba1\u5212P2, \u9884\u671f\u6536\u76caG2] \u2192 \u534f\u8c03\u667a\u80fd\u4f53<br \/>\n\u534f\u8c03\u667a\u80fd\u4f53 \u2192 [\u534f\u8c03\u7ed3\u679c: \u8ba1\u5212P3, \u6536\u76ca\u5206\u914d(G1&#039;, G2&#039;)] \u2192 \u4fe1\u53f7\u667a\u80fd\u4f53A,B<\/p>\n<p>\u534f\u4f5c\u89c4\u5212\u6a21\u5f0f&#xff1a;\u591a\u4e2a\u667a\u80fd\u4f53\u5171\u540c\u5236\u5b9a\u8ba1\u5212\u4ee5\u5b9e\u73b0\u5171\u540c\u76ee\u6807\u3002\u4f8b\u5982&#xff0c;\u516c\u5171\u4ea4\u901a\u667a\u80fd\u4f53\u534f\u4f5c\u4f18\u5316\u6362\u4e58\u8854\u63a5\u3002<\/p>\n<p>\u516c\u4ea4\u667a\u80fd\u4f53A \u2192 [\u8ba1\u5212: \u5230\u8fbe\u65f6\u95f4T1, \u5bb9\u91cfC1] \u2192 \u534f\u4f5c\u89c4\u5212\u667a\u80fd\u4f53<br \/>\n\u5730\u94c1\u667a\u80fd\u4f53B \u2192 [\u8ba1\u5212: \u5230\u8fbe\u65f6\u95f4T2, \u5bb9\u91cfC2] \u2192 \u534f\u4f5c\u89c4\u5212\u667a\u80fd\u4f53<br \/>\n\u534f\u4f5c\u89c4\u5212\u667a\u80fd\u4f53 \u2192 [\u534f\u8c03\u8ba1\u5212: \u8c03\u6574\u0394T1, \u0394T2, \u6362\u4e58\u5f15\u5bfc] \u2192 \u516c\u4ea4\/\u5730\u94c1\u667a\u80fd\u4f53<\/p>\n<h5>3.2.2 \u4ea4\u4e92\u534f\u8bae<\/h5>\n<p>\u667a\u80fd\u4f53\u4ea4\u4e92\u9075\u5faa\u6807\u51c6\u5316\u534f\u8bae\u6808&#xff1a;<\/p>\n<li>\u7269\u7406\u5c42&#xff1a;\u901a\u4fe1\u786c\u4ef6\u548c\u4f20\u8f93\u4ecb\u8d28&#xff08;\u8702\u7a9d\u7f51\u7edc\u3001Wi-Fi\u3001DSRC\u30015G\/6G&#xff09;<\/li>\n<li>\u4f20\u8f93\u5c42&#xff1a;\u786e\u4fdd\u53ef\u9760\u6570\u636e\u4f20\u8f93&#xff08;TCP\/UDP&#xff09;<\/li>\n<li>\u4f1a\u8bdd\u5c42&#xff1a;\u667a\u80fd\u4f53\u95f4\u4f1a\u8bdd\u7ba1\u7406<\/li>\n<li>\u6d88\u606f\u5c42&#xff1a;\u6807\u51c6\u5316\u6d88\u606f\u683c\u5f0f\u548c\u7f16\u7801<\/li>\n<li>\u8bed\u4e49\u5c42&#xff1a;\u786e\u4fdd\u4fe1\u606f\u4ea4\u6362\u7684\u8bed\u4e49\u4e00\u81f4\u6027<\/li>\n<li>\u534f\u4f5c\u5c42&#xff1a;\u5b9a\u4e49\u534f\u4f5c\u8fc7\u7a0b\u548c\u4ea4\u4e92\u6a21\u5f0f<\/li>\n<li>\u5e94\u7528\u5c42&#xff1a;\u7279\u5b9a\u4e8e\u4ea4\u901a\u5e94\u7528\u7684\u4ea4\u4e92\u903b\u8f91<\/li>\n<h5>3.2.3 \u51b2\u7a81\u89e3\u51b3\u673a\u5236<\/h5>\n<p>\u5f53\u667a\u80fd\u4f53\u76ee\u6807\u6216\u884c\u52a8\u51b2\u7a81\u65f6&#xff0c;\u7cfb\u7edf\u91c7\u7528\u591a\u5c42\u6b21\u51b2\u7a81\u89e3\u51b3\u673a\u5236&#xff1a;<\/p>\n<li>\u4f18\u5148\u7ea7\u89c4\u5219&#xff1a;\u9884\u5b9a\u4e49\u7684\u4f18\u5148\u7ea7\u987a\u5e8f&#xff08;\u5982\u7d27\u6025\u8f66\u8f86\u4f18\u5148&#xff09;<\/li>\n<li>\u534f\u5546\u534f\u8bae&#xff1a;\u57fa\u4e8e\u535a\u5f08\u8bba\u7684\u534f\u5546\u7b97\u6cd5&#xff08;\u5982Nash\u8bae\u4ef7\u89e3&#xff09;<\/li>\n<li>\u8c03\u89e3\u667a\u80fd\u4f53&#xff1a;\u4e13\u95e8\u7684\u8c03\u89e3\u667a\u80fd\u4f53\u534f\u52a9\u89e3\u51b3\u51b2\u7a81<\/li>\n<li>\u5168\u5c40\u4f18\u5316&#xff1a;\u533a\u57df\u534f\u8c03\u667a\u80fd\u4f53\u57fa\u4e8e\u5168\u5c40\u76ee\u6807\u89e3\u51b3\u5c40\u90e8\u51b2\u7a81<\/li>\n<li>\u4eba\u7c7b\u4ecb\u5165&#xff1a;\u590d\u6742\u51b2\u7a81\u7684\u4eba\u5de5\u51b3\u7b56\u901a\u9053<\/li>\n<h4>3.3 \u53ef\u89c6\u5316\u8868\u793a&#xff1a;\u7cfb\u7edf\u67b6\u6784\u4e0e\u4ea4\u4e92\u6d41\u7a0b<\/h4>\n<h5>3.3.1 \u7cfb\u7edf\u67b6\u6784\u6982\u89c8<\/h5>\n<p>#mermaid-svg-Nc7yAIS6xQC7alQe {font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:16px;fill:#333;}#mermaid-svg-Nc7yAIS6xQC7alQe .error-icon{fill:#552222;}#mermaid-svg-Nc7yAIS6xQC7alQe .error-text{fill:#552222;stroke:#552222;}#mermaid-svg-Nc7yAIS6xQC7alQe .edge-thickness-normal{stroke-width:2px;}#mermaid-svg-Nc7yAIS6xQC7alQe .edge-thickness-thick{stroke-width:3.5px;}#mermaid-svg-Nc7yAIS6xQC7alQe .edge-pattern-solid{stroke-dasharray:0;}#mermaid-svg-Nc7yAIS6xQC7alQe .edge-pattern-dashed{stroke-dasharray:3;}#mermaid-svg-Nc7yAIS6xQC7alQe .edge-pattern-dotted{stroke-dasharray:2;}#mermaid-svg-Nc7yAIS6xQC7alQe .marker{fill:#333333;stroke:#333333;}#mermaid-svg-Nc7yAIS6xQC7alQe .marker.cross{stroke:#333333;}#mermaid-svg-Nc7yAIS6xQC7alQe svg{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:16px;}#mermaid-svg-Nc7yAIS6xQC7alQe .label{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;color:#333;}#mermaid-svg-Nc7yAIS6xQC7alQe .cluster-label text{fill:#333;}#mermaid-svg-Nc7yAIS6xQC7alQe .cluster-label span{color:#333;}#mermaid-svg-Nc7yAIS6xQC7alQe .label text,#mermaid-svg-Nc7yAIS6xQC7alQe span{fill:#333;color:#333;}#mermaid-svg-Nc7yAIS6xQC7alQe .node rect,#mermaid-svg-Nc7yAIS6xQC7alQe .node circle,#mermaid-svg-Nc7yAIS6xQC7alQe .node ellipse,#mermaid-svg-Nc7yAIS6xQC7alQe .node polygon,#mermaid-svg-Nc7yAIS6xQC7alQe .node path{fill:#ECECFF;stroke:#9370DB;stroke-width:1px;}#mermaid-svg-Nc7yAIS6xQC7alQe .node .label{text-align:center;}#mermaid-svg-Nc7yAIS6xQC7alQe .node.clickable{cursor:pointer;}#mermaid-svg-Nc7yAIS6xQC7alQe .arrowheadPath{fill:#333333;}#mermaid-svg-Nc7yAIS6xQC7alQe .edgePath .path{stroke:#333333;stroke-width:2.0px;}#mermaid-svg-Nc7yAIS6xQC7alQe .flowchart-link{stroke:#333333;fill:none;}#mermaid-svg-Nc7yAIS6xQC7alQe .edgeLabel{background-color:#e8e8e8;text-align:center;}#mermaid-svg-Nc7yAIS6xQC7alQe .edgeLabel rect{opacity:0.5;background-color:#e8e8e8;fill:#e8e8e8;}#mermaid-svg-Nc7yAIS6xQC7alQe .cluster rect{fill:#ffffde;stroke:#aaaa33;stroke-width:1px;}#mermaid-svg-Nc7yAIS6xQC7alQe .cluster text{fill:#333;}#mermaid-svg-Nc7yAIS6xQC7alQe .cluster span{color:#333;}#mermaid-svg-Nc7yAIS6xQC7alQe div.mermaidTooltip{position:absolute;text-align:center;max-width:200px;padding:2px;font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:12px;background:hsl(80, 100%, 96.2745098039%);border:1px solid #aaaa33;border-radius:2px;pointer-events:none;z-index:100;}#mermaid-svg-Nc7yAIS6xQC7alQe :root{&#8211;mermaid-font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;}\u63d0\u793a\u5de5\u7a0b\u5c42\u77e5\u8bc6\u5c42\u901a\u4fe1\u5c42\u667a\u80fd\u4f53\u5c42\u4ea4\u901a\u53c2\u4e0e\u8005\u57fa\u7840\u8bbe\u65bd\u7ba1\u7406\u667a\u80fd\u4f53\u670d\u52a1\u667a\u80fd\u4f53\u5b89\u5168\u4e0e\u9690\u79c1\u5c42<span id=\"L-L-SP1-SP2\" class=\"edgeLabel L-LS-SP1&#039; L-LE-SP2\"><\/span><span id=\"L-L-SP2-SP3\" class=\"edgeLabel L-LS-SP2&#039; L-LE-SP3\"><\/span><span id=\"L-L-SP3-A1\" class=\"edgeLabel L-LS-SP3&#039; L-LE-A1\"><\/span><span id=\"L-L-SP3-A2\" class=\"edgeLabel L-LS-SP3&#039; L-LE-A2\"><\/span><span id=\"L-L-SP3-A3\" class=\"edgeLabel L-LS-SP3&#039; L-LE-A3\"><\/span><span id=\"L-L-SP3-B1\" class=\"edgeLabel L-LS-SP3&#039; L-LE-B1\"><\/span><span id=\"L-L-SP3-B2\" class=\"edgeLabel L-LS-SP3&#039; L-LE-B2\"><\/span><span id=\"L-L-SP3-B3\" class=\"edgeLabel L-LS-SP3&#039; L-LE-B3\"><\/span><span id=\"L-L-SP3-C1\" class=\"edgeLabel L-LS-SP3&#039; L-LE-C1\"><\/span><span id=\"L-L-SP3-C2\" class=\"edgeLabel L-LS-SP3&#039; L-LE-C2\"><\/span><span id=\"L-L-SP3-C3\" class=\"edgeLabel L-LS-SP3&#039; L-LE-C3\"><\/span><span id=\"L-L-SP3-D1\" class=\"edgeLabel L-LS-SP3&#039; L-LE-D1\"><\/span><span id=\"L-L-SP3-D2\" class=\"edgeLabel L-LS-SP3&#039; L-LE-D2\"><\/span><span id=\"L-L-SP3-D3\" class=\"edgeLabel L-LS-SP3&#039; L-LE-D3\"><\/span><span id=\"L-L-A1-E1\" class=\"edgeLabel L-LS-A1&#039; L-LE-E1\"><\/span><span id=\"L-L-A1-E2\" class=\"edgeLabel L-LS-A1&#039; L-LE-E2\"><\/span><span id=\"L-L-A1-E3\" class=\"edgeLabel L-LS-A1&#039; L-LE-E3\"><\/span><span id=\"L-L-A2-E1\" class=\"edgeLabel L-LS-A2&#039; L-LE-E1\"><\/span><span id=\"L-L-A2-E2\" class=\"edgeLabel L-LS-A2&#039; L-LE-E2\"><\/span><span id=\"L-L-A2-E3\" class=\"edgeLabel L-LS-A2&#039; L-LE-E3\"><\/span><span id=\"L-L-A3-E1\" class=\"edgeLabel L-LS-A3&#039; L-LE-E1\"><\/span><span id=\"L-L-A3-E2\" class=\"edgeLabel L-LS-A3&#039; L-LE-E2\"><\/span><span id=\"L-L-A3-E3\" class=\"edgeLabel L-LS-A3&#039; L-LE-E3\"><\/span><span id=\"L-L-B1-E1\" class=\"edgeLabel L-LS-B1&#039; L-LE-E1\"><\/span><span id=\"L-L-B1-E2\" class=\"edgeLabel L-LS-B1&#039; L-LE-E2\"><\/span><span id=\"L-L-B1-E3\" class=\"edgeLabel L-LS-B1&#039; L-LE-E3\"><\/span><span id=\"L-L-B2-E1\" class=\"edgeLabel L-LS-B2&#039; L-LE-E1\"><\/span><span id=\"L-L-B2-E2\" class=\"edgeLabel L-LS-B2&#039; L-LE-E2\"><\/span><span id=\"L-L-B2-E3\" class=\"edgeLabel L-LS-B2&#039; L-LE-E3\"><\/span><span id=\"L-L-B3-E1\" class=\"edgeLabel L-LS-B3&#039; L-LE-E1\"><\/span><span id=\"L-L-B3-E2\" class=\"edgeLabel L-LS-B3&#039; L-LE-E2\"><\/span><span id=\"L-L-B3-E3\" class=\"edgeLabel L-LS-B3&#039; L-LE-E3\"><\/span><span id=\"L-L-C1-E1\" class=\"edgeLabel L-LS-C1&#039; L-LE-E1\"><\/span><span id=\"L-L-C1-E2\" class=\"edgeLabel L-LS-C1&#039; L-LE-E2\"><\/span><span id=\"L-L-C1-E3\" class=\"edgeLabel L-LS-C1&#039; L-LE-E3\"><\/span><span id=\"L-L-C2-E1\" class=\"edgeLabel L-LS-C2&#039; L-LE-E1\"><\/span><span id=\"L-L-C2-E2\" class=\"edgeLabel L-LS-C2&#039; L-LE-E2\"><\/span><span id=\"L-L-C2-E3\" class=\"edgeLabel L-LS-C2&#039; L-LE-E3\"><\/span><span id=\"L-L-C3-E1\" class=\"edgeLabel L-LS-C3&#039; L-LE-E1\"><\/span><span id=\"L-L-C3-E2\" class=\"edgeLabel L-LS-C3&#039; L-LE-E2\"><\/span><span id=\"L-L-C3-E3\" class=\"edgeLabel L-LS-C3&#039; L-LE-E3\"><\/span><span id=\"L-L-D1-E1\" class=\"edgeLabel L-LS-D1&#039; L-LE-E1\"><\/span><span id=\"L-L-D1-E2\" class=\"edgeLabel L-LS-D1&#039; L-LE-E2\"><\/span><span id=\"L-L-D1-E3\" class=\"edgeLabel L-LS-D1&#039; L-LE-E3\"><\/span><span id=\"L-L-D2-E1\" class=\"edgeLabel L-LS-D2&#039; L-LE-E1\"><\/span><span id=\"L-L-D2-E2\" class=\"edgeLabel L-LS-D2&#039; L-LE-E2\"><\/span><span id=\"L-L-D2-E3\" class=\"edgeLabel L-LS-D2&#039; L-LE-E3\"><\/span><span id=\"L-L-D3-E1\" class=\"edgeLabel L-LS-D3&#039; L-LE-E1\"><\/span><span id=\"L-L-D3-E2\" class=\"edgeLabel L-LS-D3&#039; L-LE-E2\"><\/span><span id=\"L-L-D3-E3\" class=\"edgeLabel L-LS-D3&#039; L-LE-E3\"><\/span><span id=\"L-L-E1-F1\" class=\"edgeLabel L-LS-E1&#039; L-LE-F1\"><\/span><span id=\"L-L-E1-F2\" class=\"edgeLabel L-LS-E1&#039; L-LE-F2\"><\/span><span id=\"L-L-E1-F3\" class=\"edgeLabel L-LS-E1&#039; L-LE-F3\"><\/span><span id=\"L-L-E2-F1\" class=\"edgeLabel L-LS-E2&#039; L-LE-F1\"><\/span><span id=\"L-L-E2-F2\" class=\"edgeLabel L-LS-E2&#039; L-LE-F2\"><\/span><span id=\"L-L-E2-F3\" class=\"edgeLabel L-LS-E2&#039; L-LE-F3\"><\/span><span id=\"L-L-E3-F1\" class=\"edgeLabel L-LS-E3&#039; L-LE-F1\"><\/span><span id=\"L-L-E3-F2\" class=\"edgeLabel L-LS-E3&#039; L-LE-F2\"><\/span><span id=\"L-L-E3-F3\" class=\"edgeLabel L-LS-E3&#039; L-LE-F3\"><\/span><span id=\"L-L-G1-G2\" class=\"edgeLabel L-LS-G1&#039; L-LE-G2\"><\/span><span id=\"L-L-G2-G3\" class=\"edgeLabel L-LS-G2&#039; L-LE-G3\"><\/span><span id=\"L-L-G3-G1\" class=\"edgeLabel L-LS-G3&#039; L-LE-G1\"><\/span><span id=\"L-L-G1-A1\" class=\"edgeLabel L-LS-G1&#039; L-LE-A1\"><\/span><span id=\"L-L-G1-A2\" class=\"edgeLabel L-LS-G1&#039; L-LE-A2\"><\/span><span id=\"L-L-G1-A3\" class=\"edgeLabel L-LS-G1&#039; L-LE-A3\"><\/span><span id=\"L-L-G1-B1\" class=\"edgeLabel L-LS-G1&#039; L-LE-B1\"><\/span><span id=\"L-L-G1-B2\" class=\"edgeLabel L-LS-G1&#039; L-LE-B2\"><\/span><span id=\"L-L-G1-B3\" class=\"edgeLabel L-LS-G1&#039; L-LE-B3\"><\/span><span id=\"L-L-G1-C1\" class=\"edgeLabel L-LS-G1&#039; L-LE-C1\"><\/span><span id=\"L-L-G1-C2\" class=\"edgeLabel L-LS-G1&#039; L-LE-C2\"><\/span><span id=\"L-L-G1-C3\" class=\"edgeLabel L-LS-G1&#039; L-LE-C3\"><\/span><span id=\"L-L-G1-D1\" class=\"edgeLabel L-LS-G1&#039; L-LE-D1\"><\/span><span id=\"L-L-G1-D2\" class=\"edgeLabel L-LS-G1&#039; L-LE-D2\"><\/span><span id=\"L-L-G1-D3\" class=\"edgeLabel L-LS-G1&#039; L-LE-D3\"><\/span>\u63d0\u793a\u6a21\u677f\u5e93\u63d0\u793a\u4f18\u5316\u5f15\u64ce\u6548\u679c\u8bc4\u4f30\u5668\u9886\u57df\u77e5\u8bc6\u5e93\u5b9e\u65f6\u77e5\u8bc6\u56fe\u8c31\u5386\u53f2\u6a21\u5f0f\u5e93\u53d1\u5e03-\u8ba2\u9605\u603b\u7ebf\u8bf7\u6c42-\u54cd\u5e94\u901a\u9053\u5bf9\u7b49\u901a\u4fe1\u7f51\u7edc\u4fe1\u606f\u670d\u52a1\u667a\u80fd\u4f53\u9884\u6d4b\u667a\u80fd\u4f53\u4f18\u5316\u667a\u80fd\u4f53\u533a\u57df\u534f\u8c03\u667a\u80fd\u4f53\u8d44\u6e90\u5206\u914d\u667a\u80fd\u4f53\u7d27\u6025\u54cd\u5e94\u667a\u80fd\u4f53\u4fe1\u53f7\u63a7\u5236\u667a\u80fd\u4f53\u4ea4\u901a\u6807\u5fd7\u667a\u80fd\u4f53\u68c0\u6d4b\u667a\u80fd\u4f53\u4e2a\u4eba\u51fa\u884c\u667a\u80fd\u4f53\u8f66\u8f86\u667a\u80fd\u4f53\u516c\u5171\u4ea4\u901a\u667a\u80fd\u4f53\u8eab\u4efd\u9a8c\u8bc1\u52a0\u5bc6\u901a\u4fe1\u9690\u79c1\u4fdd\u62a4<\/p>\n<h5>3.3.2 \u667a\u80fd\u4f53\u534f\u4f5c\u6d41\u7a0b\u793a\u4f8b&#xff1a;\u9ad8\u5cf0\u671f\u4ea4\u901a\u7ba1\u7406<\/h5>\n<p>#mermaid-svg-SJHyuR0BSYejF3KF {font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:16px;fill:#333;}#mermaid-svg-SJHyuR0BSYejF3KF .error-icon{fill:#552222;}#mermaid-svg-SJHyuR0BSYejF3KF .error-text{fill:#552222;stroke:#552222;}#mermaid-svg-SJHyuR0BSYejF3KF .edge-thickness-normal{stroke-width:2px;}#mermaid-svg-SJHyuR0BSYejF3KF .edge-thickness-thick{stroke-width:3.5px;}#mermaid-svg-SJHyuR0BSYejF3KF .edge-pattern-solid{stroke-dasharray:0;}#mermaid-svg-SJHyuR0BSYejF3KF .edge-pattern-dashed{stroke-dasharray:3;}#mermaid-svg-SJHyuR0BSYejF3KF .edge-pattern-dotted{stroke-dasharray:2;}#mermaid-svg-SJHyuR0BSYejF3KF .marker{fill:#333333;stroke:#333333;}#mermaid-svg-SJHyuR0BSYejF3KF .marker.cross{stroke:#333333;}#mermaid-svg-SJHyuR0BSYejF3KF svg{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:16px;}#mermaid-svg-SJHyuR0BSYejF3KF .actor{stroke:hsl(259.6261682243, 59.7765363128%, 87.9019607843%);fill:#ECECFF;}#mermaid-svg-SJHyuR0BSYejF3KF text.actor&gt;tspan{fill:black;stroke:none;}#mermaid-svg-SJHyuR0BSYejF3KF .actor-line{stroke:grey;}#mermaid-svg-SJHyuR0BSYejF3KF .messageLine0{stroke-width:1.5;stroke-dasharray:none;stroke:#333;}#mermaid-svg-SJHyuR0BSYejF3KF .messageLine1{stroke-width:1.5;stroke-dasharray:2,2;stroke:#333;}#mermaid-svg-SJHyuR0BSYejF3KF #arrowhead path{fill:#333;stroke:#333;}#mermaid-svg-SJHyuR0BSYejF3KF .sequenceNumber{fill:white;}#mermaid-svg-SJHyuR0BSYejF3KF #sequencenumber{fill:#333;}#mermaid-svg-SJHyuR0BSYejF3KF #crosshead path{fill:#333;stroke:#333;}#mermaid-svg-SJHyuR0BSYejF3KF .messageText{fill:#333;stroke:#333;}#mermaid-svg-SJHyuR0BSYejF3KF .labelBox{stroke:hsl(259.6261682243, 59.7765363128%, 87.9019607843%);fill:#ECECFF;}#mermaid-svg-SJHyuR0BSYejF3KF .labelText,#mermaid-svg-SJHyuR0BSYejF3KF .labelText&gt;tspan{fill:black;stroke:none;}#mermaid-svg-SJHyuR0BSYejF3KF .loopText,#mermaid-svg-SJHyuR0BSYejF3KF .loopText&gt;tspan{fill:black;stroke:none;}#mermaid-svg-SJHyuR0BSYejF3KF .loopLine{stroke-width:2px;stroke-dasharray:2,2;stroke:hsl(259.6261682243, 59.7765363128%, 87.9019607843%);fill:hsl(259.6261682243, 59.7765363128%, 87.9019607843%);}#mermaid-svg-SJHyuR0BSYejF3KF .note{stroke:#aaaa33;fill:#fff5ad;}#mermaid-svg-SJHyuR0BSYejF3KF .noteText,#mermaid-svg-SJHyuR0BSYejF3KF .noteText&gt;tspan{fill:black;stroke:none;}#mermaid-svg-SJHyuR0BSYejF3KF .activation0{fill:#f4f4f4;stroke:#666;}#mermaid-svg-SJHyuR0BSYejF3KF .activation1{fill:#f4f4f4;stroke:#666;}#mermaid-svg-SJHyuR0BSYejF3KF .activation2{fill:#f4f4f4;stroke:#666;}#mermaid-svg-SJHyuR0BSYejF3KF .actorPopupMenu{position:absolute;}#mermaid-svg-SJHyuR0BSYejF3KF .actorPopupMenuPanel{position:absolute;fill:#ECECFF;box-shadow:0px 8px 16px 0px rgba(0,0,0,0.2);filter:drop-shadow(3px 5px 2px rgb(0 0 0 \/ 0.4));}#mermaid-svg-SJHyuR0BSYejF3KF .actor-man line{stroke:hsl(259.6261682243, 59.7765363128%, 87.9019607843%);fill:#ECECFF;}#mermaid-svg-SJHyuR0BSYejF3KF .actor-man circle,#mermaid-svg-SJHyuR0BSYejF3KF line{stroke:hsl(259.6261682243, 59.7765363128%, 87.9019607843%);fill:#ECECFF;stroke-width:2px;}#mermaid-svg-SJHyuR0BSYejF3KF :root{&#8211;mermaid-font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;}\u68c0\u6d4b\u667a\u80fd\u4f53\u533a\u57df\u534f\u8c03\u667a\u80fd\u4f53\u4fe1\u53f7\u63a7\u5236\u667a\u80fd\u4f53\u8f66\u8f86\u667a\u80fd\u4f53\u4fe1\u606f\u670d\u52a1\u667a\u80fd\u4f53\u63d0\u793a\u4f18\u5316\u5f15\u64ce\u9884\u6d4b\u667a\u80fd\u4f53\u68c0\u6d4b\u5230\u4e3b\u5e72\u9053\u62e5\u5835(\u4f4d\u7f6eL, \u7a0b\u5ea6H)\u8bf7\u6c42\u77ed\u671f\u4ea4\u901a\u9884\u6d4b(\u672a\u676530\u5206\u949f)\u9884\u6d4b: \u62e5\u5835\u5c06\u6269\u6563\u81f3\u5468\u8fb9\u533a\u57df\u8bf7\u6c42\u62e5\u5835\u7f13\u89e3\u63d0\u793a\u7b56\u7565\u8fd4\u56de\u62e5\u5835\u7f13\u89e3\u63d0\u793a\u6a21\u677f\u5e94\u7528\u62e5\u5835\u7f13\u89e3\u63d0\u793a: \u8c03\u6574\u76f8\u4f4d\u914d\u65f6, \u4f18\u5148\u758f\u6563\u4e3b\u5e72\u9053\u5e94\u7528\u62e5\u5835\u7f13\u89e3\u63d0\u793a: \u5b9e\u65bd\u8def\u5f84\u5206\u6d41\u7b56\u7565\u63a8\u9001\u66ff\u4ee3\u8def\u7ebf\u5efa\u8bae(\u57fa\u4e8e\u4e2a\u6027\u5316\u63d0\u793a)\u786e\u8ba4\u8def\u7ebf\u53d8\u66f4\u4fe1\u53f7\u914d\u65f6\u8c03\u6574\u5b8c\u6210, \u53cd\u9988\u521d\u6b65\u6548\u679c\u62e5\u5835\u7f13\u89e3\u72b6\u6001\u66f4\u65b0(\u7a0b\u5ea6M)\u5fae\u8c03\u63d0\u793a\u53c2\u6570\u8c03\u6574\u5206\u6d41\u5f3a\u5ea6\u5b9e\u65f6\u72b6\u6001\u53cd\u9988loop[\u6301\u7eed\u4f18\u5316]\u53cd\u9988\u63d0\u793a\u7b56\u7565\u6548\u679c\u6570\u636e\u66f4\u65b0\u63d0\u793a\u6a21\u677f\u4ee5\u63d0\u9ad8\u672a\u6765\u6548\u679c\u68c0\u6d4b\u667a\u80fd\u4f53\u533a\u57df\u534f\u8c03\u667a\u80fd\u4f53\u4fe1\u53f7\u63a7\u5236\u667a\u80fd\u4f53\u8f66\u8f86\u667a\u80fd\u4f53\u4fe1\u606f\u670d\u52a1\u667a\u80fd\u4f53\u63d0\u793a\u4f18\u5316\u5f15\u64ce\u9884\u6d4b\u667a\u80fd\u4f53<\/p>\n<h5>3.3.3 \u667a\u80fd\u4f53\u51b3\u7b56\u6d41\u7a0b&#xff1a;\u63d0\u793a\u9a71\u52a8\u7684\u8f66\u8f86\u8def\u5f84\u9009\u62e9<\/h5>\n<p>flowchart LR<br \/>\n    Start[\u5f00\u59cb\u5bfc\u822a] &#8211;&gt; P1[\u63a5\u6536\u521d\u59cb\u63d0\u793a]<br \/>\n    P1 &#8211;&gt; P2{\u89e3\u6790\u63d0\u793a\u5185\u5bb9}<br \/>\n    P2 &#8211;&gt;|\u76ee\u6807| G[\u4e3b\u8981\u76ee\u6807: \u6700\u77ed\u65f6\u95f4\\\\n\u6b21\u8981\u76ee\u6807: \u6700\u4f4e\u80fd\u8017\\\\n\u7ea6\u675f: \u907f\u514d\u6536\u8d39\u9053\u8def]<br \/>\n    P2 &#8211;&gt;|\u77e5\u8bc6| K[\u4ea4\u901a\u7f51\u7edc\u77e5\u8bc6\\\\n\u5386\u53f2\u6a21\u5f0f\\\\n\u5f53\u524d\u8def\u51b5]<br \/>\n    P2 &#8211;&gt;|\u89c4\u5219| R[\u5b89\u5168\u89c4\u5219\\\\n\u793c\u4eea\u89c4\u5219\\\\n\u4f18\u5148\u7ea7\u89c4\u5219]<\/p>\n<p>    G &amp; K &amp; R &#8211;&gt; D1[\u751f\u6210\u5019\u9009\u8def\u5f84\u96c6]<br \/>\n    D1 &#8211;&gt; D2[\u8bc4\u4f30\u6bcf\u6761\u8def\u5f84: \u65f6\u95f4\u3001\u80fd\u8017\u3001\u53ef\u9760\u6027]<br \/>\n    D2 &#8211;&gt; D3[\u5e94\u7528\u591a\u76ee\u6807\u51b3\u7b56\u7b97\u6cd5]<br \/>\n    D3 &#8211;&gt; D4{\u662f\u5426\u6ee1\u8db3\u6240\u6709\u7ea6\u675f?}<br \/>\n    D4 &#8211;&gt;|\u662f| D5[\u9009\u62e9\u6700\u4f18\u8def\u5f84]<br \/>\n    D4 &#8211;&gt;|\u5426| D6[\u8c03\u6574\u8def\u5f84\u6216\u8bf7\u6c42\u63d0\u793a\u6f84\u6e05]<br \/>\n    D6 &#8211;&gt; D1<\/p>\n<p>    D5 &#8211;&gt; E1[\u6267\u884c\u8def\u5f84\u5bfc\u822a]<br \/>\n    E1 &#8211;&gt; E2{\u63a5\u6536\u65b0\u4fe1\u606f?}<br \/>\n    E2 &#8211;&gt;|\u662f| E3[\u91cd\u65b0\u8bc4\u4f30\u8def\u5f84\\\\n\u5e94\u7528\u66f4\u65b0\u63d0\u793a]<br \/>\n    E3 &#8211;&gt; D2<br \/>\n    E2 &#8211;&gt;|\u5426| E4[\u7ee7\u7eed\u5bfc\u822a]<br \/>\n    E4 &#8211;&gt; E1<\/p>\n<p>    D5 &#8211;&gt; F1[\u8bb0\u5f55\u51b3\u7b56\u8fc7\u7a0b]<br \/>\n    F1 &#8211;&gt; F2[\u53cd\u9988\u51b3\u7b56\u6548\u679c\u7ed9\u63d0\u793a\u4f18\u5316\u5f15\u64ce]<\/p>\n<h4>3.4 \u8bbe\u8ba1\u6a21\u5f0f\u5e94\u7528&#xff1a;Agentic\u4ea4\u901a\u7cfb\u7edf\u7684\u6a21\u5f0f\u8bed\u8a00<\/h4>\n<p>Agentic\u4ea4\u901a\u6d41\u91cf\u7ba1\u7406\u7cfb\u7edf\u5e94\u7528\u591a\u79cd\u8bbe\u8ba1\u6a21\u5f0f\u89e3\u51b3\u5e38\u89c1\u6311\u6218&#xff1a;<\/p>\n<h5>3.4.1 \u667a\u80fd\u4f53\u8bbe\u8ba1\u6a21\u5f0f<\/h5>\n<p>\u534f\u8c03\u8005\u6a21\u5f0f(Coordinator Pattern)<\/p>\n<ul>\n<li>\u5e94\u7528&#xff1a;\u533a\u57df\u534f\u8c03\u667a\u80fd\u4f53\u7ba1\u7406\u591a\u4e2a\u4ea4\u53c9\u53e3\u7684\u4fe1\u53f7\u63a7\u5236\u667a\u80fd\u4f53<\/li>\n<li>\u4f18\u52bf&#xff1a;\u96c6\u4e2d\u534f\u8c03\u5206\u6563\u51b3\u7b56&#xff0c;\u907f\u514d\u5c40\u90e8\u6700\u4f18\u9677\u9631<\/li>\n<li>\u5b9e\u73b0&#xff1a;\u534f\u8c03\u8005\u667a\u80fd\u4f53\u7ef4\u62a4\u5168\u5c40\u89c6\u56fe&#xff0c;\u5411\u53c2\u4e0e\u8005\u667a\u80fd\u4f53\u53d1\u9001\u534f\u8c03\u63d0\u793a<\/li>\n<\/ul>\n<p>\u4ee3\u7406\u6a21\u5f0f(Proxy Pattern)<\/p>\n<ul>\n<li>\u5e94\u7528&#xff1a;\u4e2a\u4eba\u51fa\u884c\u667a\u80fd\u4f53\u4f5c\u4e3a\u7528\u6237\u7684\u4ee3\u7406&#xff0c;\u4e0e\u7cfb\u7edf\u5176\u4ed6\u90e8\u5206\u4ea4\u4e92<\/li>\n<li>\u4f18\u52bf&#xff1a;\u4fdd\u62a4\u7528\u6237\u9690\u79c1&#xff0c;\u7edf\u4e00\u63a5\u53e3&#xff0c;\u96c6\u4e2d\u7ba1\u7406\u7528\u6237\u504f\u597d<\/li>\n<li>\u5b9e\u73b0&#xff1a;\u4ee3\u7406\u667a\u80fd\u4f53\u5904\u7406\u8eab\u4efd\u9a8c\u8bc1\u3001\u6743\u9650\u7ba1\u7406\u548c\u4e2a\u6027\u5316\u63d0\u793a\u5e94\u7528<\/li>\n<\/ul>\n<p>\u89c2\u5bdf\u8005\u6a21\u5f0f(Observer Pattern)<\/p>\n<ul>\n<li>\u5e94\u7528&#xff1a;\u4ea4\u901a\u4e8b\u4ef6\u76d1\u6d4b\u4e0e\u901a\u77e5\u7cfb\u7edf<\/li>\n<li>\u4f18\u52bf&#xff1a;\u9ad8\u6548\u7684\u4e8b\u4ef6\u4f20\u64ad&#xff0c;\u89e3\u8026\u4e8b\u4ef6\u6e90\u548c\u6d88\u8d39\u8005<\/li>\n<li>\u5b9e\u73b0&#xff1a;\u68c0\u6d4b\u667a\u80fd\u4f53\u53d1\u5e03\u4e8b\u4ef6&#xff0c;\u8ba2\u9605\u667a\u80fd\u4f53\u63a5\u6536\u76f8\u5173\u4e8b\u4ef6\u901a\u77e5<\/li>\n<\/ul>\n<p>\u7b56\u7565\u6a21\u5f0f(Strategy Pattern)<\/p>\n<ul>\n<li>\u5e94\u7528&#xff1a;\u52a8\u6001\u9009\u62e9\u8def\u5f84\u89c4\u5212\u7b97\u6cd5<\/li>\n<li>\u4f18\u52bf&#xff1a;\u6839\u636e\u60c5\u5883\u7075\u6d3b\u5207\u6362\u7b56\u7565&#xff0c;\u4f18\u5316\u6027\u80fd<\/li>\n<li>\u5b9e\u73b0&#xff1a;\u63d0\u793a\u6307\u5b9a\u5f53\u524d\u60c5\u5883\u4e0b\u5e94\u4f7f\u7528\u7684\u8def\u5f84\u89c4\u5212\u7b56\u7565<\/li>\n<\/ul>\n<h5>3.4.2 \u4ea4\u4e92\u8bbe\u8ba1\u6a21\u5f0f<\/h5>\n<p>\u8bf7\u6c42-\u54cd\u5e94\u6a21\u5f0f(Request-Response Pattern)<\/p>\n<ul>\n<li>\u5e94\u7528&#xff1a;\u4fe1\u606f\u67e5\u8be2\u3001\u670d\u52a1\u8bf7\u6c42<\/li>\n<li>\u4f18\u52bf&#xff1a;\u7b80\u5355\u76f4\u63a5&#xff0c;\u6613\u4e8e\u5b9e\u73b0\u548c\u8c03\u8bd5<\/li>\n<li>\u5b9e\u73b0&#xff1a;\u6807\u51c6\u5316\u8bf7\u6c42\u548c\u54cd\u5e94\u683c\u5f0f&#xff0c;\u5305\u542b\u4e0a\u4e0b\u6587\u4fe1\u606f\u548c\u5143\u6570\u636e<\/li>\n<\/ul>\n<p>\u53d1\u5e03-\u8ba2\u9605\u6a21\u5f0f(Publish-Subscribe Pattern)<\/p>\n<ul>\n<li>\u5e94\u7528&#xff1a;\u4ea4\u901a\u72b6\u6001\u66f4\u65b0\u3001\u4e8b\u4ef6\u901a\u77e5<\/li>\n<li>\u4f18\u52bf&#xff1a;\u4e00\u5bf9\u591a\u901a\u4fe1&#xff0c;\u964d\u4f4e\u8026\u5408\u5ea6<\/li>\n<li>\u5b9e\u73b0&#xff1a;\u57fa\u4e8e\u4e3b\u9898\u7684\u4e8b\u4ef6\u603b\u7ebf&#xff0c;\u667a\u80fd\u4f53\u8ba2\u9605\u611f\u5174\u8da3\u7684\u4e3b\u9898<\/li>\n<\/ul>\n<p>\u534f\u5546\u6a21\u5f0f(Negotiation Pattern)<\/p>\n<ul>\n<li>\u5e94\u7528&#xff1a;\u8d44\u6e90\u5206\u914d\u3001\u51b2\u7a81\u89e3\u51b3<\/li>\n<li>\u4f18\u52bf&#xff1a;\u591a\u65b9\u5229\u76ca\u5e73\u8861&#xff0c;\u63d0\u9ad8\u6ee1\u610f\u5ea6<\/li>\n<li>\u5b9e\u73b0&#xff1a;\u57fa\u4e8e\u535a\u5f08\u8bba\u7684\u591a\u8f6e\u534f\u5546\u534f\u8bae&#xff0c;\u63d0\u793a\u5b9a\u4e49\u534f\u5546\u89c4\u5219<\/li>\n<\/ul>\n<p>\u62cd\u5356\u6a21\u5f0f(Auction Pattern)<\/p>\n<ul>\n<li>\u5e94\u7528&#xff1a;\u7279\u6b8a\u8f66\u9053\u4f7f\u7528\u6743\u5206\u914d\u3001\u4f18\u5148\u901a\u884c\u6743<\/li>\n<li>\u4f18\u52bf&#xff1a;\u9ad8\u6548\u5206\u914d\u7a00\u7f3a\u8d44\u6e90&#xff0c;\u6fc0\u52b1\u7cfb\u7edf\u4f18\u5316\u884c\u4e3a<\/li>\n<li>\u5b9e\u73b0&#xff1a;\u667a\u80fd\u4f53\u53c2\u4e0e\u62cd\u5356&#xff0c;\u63d0\u793a\u5b9a\u4e49\u51fa\u4ef7\u7b56\u7565\u548c\u7ea6\u675f<\/li>\n<\/ul>\n<h5>3.4.3 \u63d0\u793a\u5de5\u7a0b\u6a21\u5f0f<\/h5>\n<p>\u5206\u5c42\u63d0\u793a\u6a21\u5f0f(Layered Prompt Pattern)<\/p>\n<ul>\n<li>\u5e94\u7528&#xff1a;\u590d\u6742\u667a\u80fd\u4f53\u7684\u884c\u4e3a\u5b9a\u4e49<\/li>\n<li>\u4f18\u52bf&#xff1a;\u6a21\u5757\u5316\u8bbe\u8ba1&#xff0c;\u4fbf\u4e8e\u7ef4\u62a4\u548c\u66f4\u65b0<\/li>\n<li>\u5b9e\u73b0&#xff1a;\u57fa\u7840\u63d0\u793a\u5b9a\u4e49\u6838\u5fc3\u884c\u4e3a&#xff0c;\u60c5\u5883\u63d0\u793a\u8c03\u6574\u7279\u5b9a\u573a\u666f\u884c\u4e3a<\/li>\n<\/ul>\n<p>\u81ea\u9002\u5e94\u63d0\u793a\u6a21\u5f0f(Adaptive Prompt Pattern)<\/p>\n<ul>\n<li>\u5e94\u7528&#xff1a;\u52a8\u6001\u73af\u5883\u4e2d\u7684\u667a\u80fd\u4f53\u884c\u4e3a<\/li>\n<li>\u4f18\u52bf&#xff1a;\u6839\u636e\u73af\u5883\u548c\u6027\u80fd\u52a8\u6001\u8c03\u6574\u884c\u4e3a<\/li>\n<li>\u5b9e\u73b0&#xff1a;\u63d0\u793a\u5305\u542b\u6761\u4ef6\u89c4\u5219&#xff0c;\u6839\u636e\u5b9e\u65f6\u6570\u636e\u89e6\u53d1\u4e0d\u540c\u884c\u4e3a\u6a21\u5f0f<\/li>\n<\/ul>\n<p>\u534f\u4f5c\u63d0\u793a\u6a21\u5f0f(Collaborative Prompt Pattern)<\/p>\n<ul>\n<li>\u5e94\u7528&#xff1a;\u591a\u667a\u80fd\u4f53\u534f\u4f5c\u4efb\u52a1<\/li>\n<li>\u4f18\u52bf&#xff1a;\u660e\u786e\u534f\u4f5c\u89c4\u5219&#xff0c;\u51cf\u5c11\u51b2\u7a81<\/li>\n<li>\u5b9e\u73b0&#xff1a;\u63d0\u793a\u5b9a\u4e49\u89d2\u8272\u3001\u8d23\u4efb\u548c\u901a\u4fe1\u534f\u8bae<\/li>\n<\/ul>\n<p>\u89e3\u91ca\u6027\u63d0\u793a\u6a21\u5f0f(Explanatory Prompt Pattern)<\/p>\n<ul>\n<li>\u5e94\u7528&#xff1a;\u9700\u8981\u900f\u660e\u5ea6\u7684\u51b3\u7b56\u573a\u666f<\/li>\n<li>\u4f18\u52bf&#xff1a;\u63d0\u9ad8\u53ef\u89e3\u91ca\u6027&#xff0c;\u589e\u5f3a\u4fe1\u4efb<\/li>\n<li>\u5b9e\u73b0&#xff1a;\u63d0\u793a\u8981\u6c42\u51b3\u7b56\u9644\u5e26\u89e3\u91ca&#xff0c;\u9075\u5faa\u7279\u5b9a\u89e3\u91ca\u6846\u67b6<\/li>\n<\/ul>\n<p>\u8fd9\u4e9b\u8bbe\u8ba1\u6a21\u5f0f\u7684\u7ec4\u5408\u5e94\u7528&#xff0c;\u4f7fAgentic\u4ea4\u901a\u7cfb\u7edf\u80fd\u591f\u7075\u6d3b\u5e94\u5bf9\u590d\u6742\u3001\u52a8\u6001\u7684\u4ea4\u901a\u73af\u5883&#xff0c;\u540c\u65f6\u4fdd\u6301\u7cfb\u7edf\u7684\u53ef\u7ef4\u62a4\u6027\u548c\u53ef\u6269\u5c55\u6027\u3002<\/p>\n<h3>4. \u5b9e\u73b0\u673a\u5236<\/h3>\n<h4>4.1 \u7b97\u6cd5\u590d\u6742\u5ea6\u5206\u6790&#xff1a;\u4ea4\u901a\u667a\u80fd\u4f53\u6838\u5fc3\u7b97\u6cd5\u7684\u6027\u80fd\u7279\u5f81<\/h4>\n<p>Agentic\u4ea4\u901a\u7cfb\u7edf\u7684\u6027\u80fd\u5f88\u5927\u7a0b\u5ea6\u4e0a\u53d6\u51b3\u4e8e\u6838\u5fc3\u7b97\u6cd5\u7684\u6548\u7387\u548c\u53ef\u6269\u5c55\u6027\u7279\u6027\u3002\u4ee5\u4e0b\u5206\u6790\u5173\u952e\u7b97\u6cd5\u7684\u8ba1\u7b97\u590d\u6742\u5ea6&#xff1a;<\/p>\n<h5>4.1.1 \u591a\u667a\u80fd\u4f53\u8def\u5f84\u89c4\u5212\u7b97\u6cd5<\/h5>\n<p>\u96c6\u4e2d\u5f0f\u8def\u5f84\u89c4\u5212<\/p>\n<ul>\n<li>\u7b97\u6cd5&#xff1a;\u591a\u5546\u54c1\u6d41\u95ee\u9898(Multi-commodity Flow)<\/li>\n<li>\u590d\u6742\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(N3Mlog\u2061C)O(N^3 M \\\\log C)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\">lo<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">C<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2dN\u662f\u8282\u70b9\u6570&#xff0c;M\u662f\u5546\u54c1\u6570&#xff0c;C\u662f\u5bb9\u91cf\u8303\u56f4<\/li>\n<li>\u4f18\u52bf&#xff1a;\u7406\u8bba\u6700\u4f18\u89e3<\/li>\n<li>\u52a3\u52bf&#xff1a;\u8ba1\u7b97\u590d\u6742\u5ea6\u9ad8&#xff0c;\u4e0d\u9002\u5408\u5927\u89c4\u6a21\u7cfb\u7edf\u548c\u5b9e\u65f6\u66f4\u65b0<\/li>\n<\/ul>\n<p>\u5206\u5e03\u5f0f\u8def\u5f84\u89c4\u5212<\/p>\n<ul>\n<li>\u7b97\u6cd5&#xff1a;\u5206\u5e03\u5f0fA*\u3001\u57fa\u4e8e\u62cd\u5356\u7684\u8def\u5f84\u5206\u914d<\/li>\n<li>\u590d\u6742\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O((Nlog\u2061N)&#043;K)O((N \\\\log N) &#043; K)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">((<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\">lo<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">K<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2dN\u662f\u8282\u70b9\u6570,K\u662f\u901a\u4fe1\u5f00\u9500<\/li>\n<li>\u4f18\u52bf&#xff1a;\u53ef\u6269\u5c55\u6027\u597d&#xff0c;\u9002\u5408\u5b9e\u65f6\u66f4\u65b0<\/li>\n<li>\u52a3\u52bf&#xff1a;\u53ef\u80fd\u9677\u5165\u5c40\u90e8\u6700\u4f18<\/li>\n<\/ul>\n<p>\u57fa\u4e8e\u5f3a\u5316\u5b66\u4e60\u7684\u8def\u5f84\u89c4\u5212<\/p>\n<ul>\n<li>\u7b97\u6cd5&#xff1a;\u6df1\u5ea6Q\u7f51\u7edc(DQN)\u3001\u7b56\u7565\u68af\u5ea6\u65b9\u6cd5<\/li>\n<li>\u590d\u6742\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(T\u22c5\u2223A\u2223\u22c5d)O(T \\\\cdot |A| \\\\cdot d)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord\">\u2223<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2dT\u662f\u8bad\u7ec3\u6b65\u6570,|A|\u662f\u52a8\u4f5c\u7a7a\u95f4\u5927\u5c0f,d\u662f\u7f51\u7edc\u6df1\u5ea6<\/li>\n<li>\u4f18\u52bf&#xff1a;\u80fd\u5904\u7406\u4e0d\u786e\u5b9a\u6027\u548c\u52a8\u6001\u53d8\u5316<\/li>\n<li>\u52a3\u52bf&#xff1a;\u8bad\u7ec3\u590d\u6742\u5ea6\u9ad8&#xff0c;\u63a8\u7406\u65f6\u9700\u8981\u8003\u8651\u5ef6\u8fdf<\/li>\n<\/ul>\n<p>\u63d0\u793a\u5de5\u7a0b\u4f18\u5316&#xff1a;\u901a\u8fc7\u7cbe\u5fc3\u8bbe\u8ba1\u7684\u63d0\u793a&#xff0c;\u53ef\u4ee5\u663e\u8457\u964d\u4f4e\u7b97\u6cd5\u590d\u6742\u5ea6&#xff0c;\u4f8b\u5982&#xff1a;<\/p>\n<ul>\n<li>\u542f\u53d1\u5f0f\u63d0\u793a\u5f15\u5bfc\u667a\u80fd\u4f53\u4f18\u5148\u63a2\u7d22\u9ad8\u6f5c\u529b\u8def\u5f84<\/li>\n<li>\u7ea6\u675f\u63d0\u793a\u9650\u5236\u641c\u7d22\u7a7a\u95f4<\/li>\n<li>\u534f\u4f5c\u63d0\u793a\u51cf\u5c11\u667a\u80fd\u4f53\u95f4\u51b2\u7a81<\/li>\n<\/ul>\n<h5>4.1.2 \u4fe1\u53f7\u63a7\u5236\u4f18\u5316\u7b97\u6cd5<\/h5>\n<p>\u4f20\u7edf\u65b9\u6cd5<\/p>\n<ul>\n<li>\u7b97\u6cd5&#xff1a;Webster\u65b9\u6cd5\u3001SCOOT\u3001SCATS<\/li>\n<li>\u590d\u6742\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(P2T)O(P^2 T)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2dP\u662f\u76f8\u4f4d\u6570\u91cf&#xff0c;T\u662f\u5468\u671f\u957f\u5ea6<\/li>\n<li>\u4f18\u52bf&#xff1a;\u6210\u719f\u7a33\u5b9a&#xff0c;\u8ba1\u7b97\u7b80\u5355<\/li>\n<li>\u52a3\u52bf&#xff1a;\u9002\u5e94\u80fd\u529b\u6709\u9650&#xff0c;\u4f18\u5316\u76ee\u6807\u5355\u4e00<\/li>\n<\/ul>\n<p>\u591a\u667a\u80fd\u4f53\u5f3a\u5316\u5b66\u4e60\u65b9\u6cd5<\/p>\n<ul>\n<li>\u7b97\u6cd5&#xff1a;\u6df1\u5ea6\u786e\u5b9a\u6027\u7b56\u7565\u68af\u5ea6(DDPG)\u3001\u591a\u667a\u80fd\u4f53\u6df1\u5ea6\u786e\u5b9a\u6027\u7b56\u7565\u68af\u5ea6(MADDPG)<\/li>\n<li>\u590d\u6742\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(N\u22c5T\u22c5d)O(N \\\\cdot T \\\\cdot d)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2dN\u662f\u667a\u80fd\u4f53\u6570\u91cf&#xff0c;T\u662f\u8bad\u7ec3\u6b65\u6570&#xff0c;d\u662f\u7f51\u7edc\u6df1\u5ea6<\/li>\n<li>\u4f18\u52bf&#xff1a;\u52a8\u6001\u9002\u5e94\u80fd\u529b\u5f3a&#xff0c;\u591a\u76ee\u6807\u4f18\u5316<\/li>\n<li>\u52a3\u52bf&#xff1a;\u8bad\u7ec3\u590d\u6742&#xff0c;\u6536\u655b\u6027\u95ee\u9898<\/li>\n<\/ul>\n<p>\u57fa\u4e8e\u535a\u5f08\u8bba\u7684\u534f\u8c03\u7b97\u6cd5<\/p>\n<ul>\n<li>\u7b97\u6cd5&#xff1a;\u7eb3\u4ec0\u5747\u8861\u6c42\u89e3\u3001\u65af\u5854\u514b\u5c14\u4f2f\u683c\u535a\u5f08<\/li>\n<li>\u590d\u6742\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(N2\u22c5\u2223A\u2223N)O(N^2 \\\\cdot |A|^N)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0913em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord\"><span class=\"mord\">\u2223<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2dN\u662f\u667a\u80fd\u4f53\u6570\u91cf&#xff0c;|A|\u662f\u52a8\u4f5c\u7a7a\u95f4<\/li>\n<li>\u4f18\u52bf&#xff1a;\u7406\u8bba\u57fa\u7840\u575a\u5b9e&#xff0c;\u8003\u8651\u7b56\u7565\u4e92\u52a8<\/li>\n<li>\u52a3\u52bf&#xff1a;\u8ba1\u7b97\u590d\u6742\u5ea6\u9ad8&#xff0c;\u53ef\u6269\u5c55\u6027\u53d7\u9650<\/li>\n<\/ul>\n<p>\u63d0\u793a\u5de5\u7a0b\u4f18\u5316&#xff1a;\u901a\u8fc7\u63d0\u793a\u5b9a\u4e49\u7b80\u5316\u535a\u5f08\u89c4\u5219\u3001\u5f15\u5bfc\u5747\u8861\u9009\u62e9\u3001\u52a8\u6001\u8c03\u6574\u5b66\u4e60\u76ee\u6807&#xff0c;\u53ef\u4ee5\u5c06\u590d\u6742\u5ea6\u964d\u4f4e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(\u2223A\u2223N)O(|A|^N)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0913em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord\"><span class=\"mord\">\u2223<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u5230<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(N\u22c5\u2223A\u22232)O(N \\\\cdot |A|^2)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord\"><span class=\"mord\">\u2223<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<h5>4.1.3 \u4ea4\u901a\u6d41\u9884\u6d4b\u7b97\u6cd5<\/h5>\n<p>\u7edf\u8ba1\u5b66\u4e60\u65b9\u6cd5<\/p>\n<ul>\n<li>\u7b97\u6cd5&#xff1a;ARIMA\u3001\u6307\u6570\u5e73\u6ed1\u3001GARCH<\/li>\n<li>\u590d\u6742\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(T2)O(T^2)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2dT\u662f\u65f6\u95f4\u5e8f\u5217\u957f\u5ea6<\/li>\n<li>\u4f18\u52bf&#xff1a;\u8ba1\u7b97\u6548\u7387\u9ad8&#xff0c;\u53ef\u89e3\u91ca\u6027\u597d<\/li>\n<li>\u52a3\u52bf&#xff1a;\u975e\u7ebf\u6027\u6a21\u5f0f\u6355\u6349\u80fd\u529b\u6709\u9650<\/li>\n<\/ul>\n<p>\u673a\u5668\u5b66\u4e60\u65b9\u6cd5<\/p>\n<ul>\n<li>\u7b97\u6cd5&#xff1a;\u968f\u673a\u68ee\u6797\u3001\u68af\u5ea6\u63d0\u5347\u673a<\/li>\n<li>\u590d\u6742\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(N\u22c5Mlog\u2061M)O(N \\\\cdot M \\\\log M)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\">lo<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2dN\u662f\u7279\u5f81\u6570&#xff0c;M\u662f\u6837\u672c\u6570<\/li>\n<li>\u4f18\u52bf&#xff1a;\u5904\u7406\u975e\u7ebf\u6027\u5173\u7cfb&#xff0c;\u7279\u5f81\u91cd\u8981\u6027\u5206\u6790<\/li>\n<li>\u52a3\u52bf&#xff1a;\u9700\u8981\u7279\u5f81\u5de5\u7a0b&#xff0c;\u53ef\u80fd\u8fc7\u62df\u5408<\/li>\n<\/ul>\n<p>\u6df1\u5ea6\u5b66\u4e60\u65b9\u6cd5<\/p>\n<ul>\n<li>\u7b97\u6cd5&#xff1a;LSTM\u3001GRU\u3001Transformer<\/li>\n<li>\u590d\u6742\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O(T\u22c5d2)O(T \\\\cdot d^2)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">d<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2dT\u662f\u5e8f\u5217\u957f\u5ea6&#xff0c;d\u662f\u9690\u85cf\u5c42\u7ef4\u5ea6<\/li>\n<li>\u4f18\u52bf&#xff1a;\u81ea\u52a8\u7279\u5f81\u63d0\u53d6&#xff0c;\u957f\u671f\u4f9d\u8d56\u5efa\u6a21<\/li>\n<li>\u52a3\u52bf&#xff1a;\u8ba1\u7b97\u590d\u6742\u5ea6\u9ad8&#xff0c;\u9700\u8981\u5927\u91cf\u6570\u636e<\/li>\n<\/ul>\n<p>\u63d0\u793a\u5de5\u7a0b\u4f18\u5316&#xff1a;\u901a\u8fc7\u63d0\u793a\u5de5\u7a0b&#xff0c;\u53ef\u4ee5&#xff1a;<\/p>\n<ul>\n<li>\u5b9a\u4e49\u76f8\u5173\u4e0a\u4e0b\u6587\u56e0\u7d20\u7684\u6743\u91cd<\/li>\n<li>\u6307\u5b9a\u9884\u6d4b\u8bef\u5dee\u7684\u60e9\u7f5a\u51fd\u6570<\/li>\n<li>\u5f15\u5bfc\u6a21\u578b\u5173\u6ce8\u5173\u952e\u65f6\u95f4\u6bb5\u6216\u7a7a\u95f4\u533a\u57df<\/li>\n<\/ul>\n<h5>4.1.4 \u590d\u6742\u5ea6\u6743\u8861\u5206\u6790<\/h5>\n<table>\n<tr>\u7b97\u6cd5\u7c7b\u522b\u65f6\u95f4\u590d\u6742\u5ea6\u7a7a\u95f4\u590d\u6742\u5ea6\u53ef\u6269\u5c55\u6027\u5b9e\u65f6\u6027\u9c81\u68d2\u6027\u5b9e\u73b0\u96be\u5ea6<\/tr>\n<tbody>\n<tr>\n<td>\u96c6\u4e2d\u5f0f\u8def\u5f84\u89c4\u5212<\/td>\n<td>\u9ad8<\/td>\n<td>\u9ad8<\/td>\n<td>\u4f4e<\/td>\n<td>\u4f4e<\/td>\n<td>\u9ad8<\/td>\n<td>\u4e2d<\/td>\n<\/tr>\n<tr>\n<td>\u5206\u5e03\u5f0f\u8def\u5f84\u89c4\u5212<\/td>\n<td>\u4e2d<\/td>\n<td>\u4e2d<\/td>\n<td>\u9ad8<\/td>\n<td>\u9ad8<\/td>\n<td>\u4e2d<\/td>\n<td>\u9ad8<\/td>\n<\/tr>\n<tr>\n<td>RL\u8def\u5f84\u89c4\u5212<\/td>\n<td>\u8bad\u7ec3\u9ad8\/\u63a8\u7406\u4f4e<\/td>\n<td>\u9ad8<\/td>\n<td>\u4e2d<\/td>\n<td>\u4e2d<\/td>\n<td>\u9ad8<\/td>\n<td>\u9ad8<\/td>\n<\/tr>\n<tr>\n<td>\u4f20\u7edf\u4fe1\u53f7\u63a7\u5236<\/td>\n<td>\u4f4e<\/td>\n<td>\u4f4e<\/td>\n<td>\u4f4e<\/td>\n<td>\u9ad8<\/td>\n<td>\u9ad8<\/td>\n<td>\u4f4e<\/td>\n<\/tr>\n<tr>\n<td>MARL\u4fe1\u53f7\u63a7\u5236<\/td>\n<td>\u8bad\u7ec3\u9ad8\/\u63a8\u7406\u4f4e<\/td>\n<td>\u9ad8<\/td>\n<td>\u4e2d<\/td>\n<td>\u4e2d<\/td>\n<td>\u4e2d<\/td>\n<td>\u9ad8<\/td>\n<\/tr>\n<tr>\n<td>\u7edf\u8ba1\u6d41\u9884\u6d4b<\/td>\n<td>\u4f4e<\/td>\n<td>\u4f4e<\/td>\n<td>\u9ad8<\/td>\n<td>\u9ad8<\/td>\n<td>\u4f4e<\/td>\n<td>\u4f4e<\/td>\n<\/tr>\n<tr>\n<td>\u6df1\u5ea6\u5b66\u4e60\u6d41\u9884\u6d4b<\/td>\n<td>\u9ad8<\/td>\n<td>\u9ad8<\/td>\n<td>\u4e2d<\/td>\n<td>\u4f4e<\/td>\n<td>\u9ad8<\/td>\n<td>\u4e2d<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Agentic\u7cfb\u7edf\u901a\u8fc7\u5c06\u590d\u6742\u95ee\u9898\u5206\u89e3\u4e3a\u591a\u4e2a\u5b50\u95ee\u9898&#xff0c;\u5e76\u5206\u914d\u7ed9\u4e13\u95e8\u7684\u667a\u80fd\u4f53\u5904\u7406&#xff0c;\u53ef\u4ee5\u663e\u8457\u964d\u4f4e\u6574\u4f53\u8ba1\u7b97\u590d\u6742\u5ea6&#xff0c;\u5b9e\u73b0\u5927\u89c4\u6a21\u4ea4\u901a\u7cfb\u7edf\u7684\u5b9e\u65f6\u4f18\u5316\u3002<\/p>\n<h4>4.2 \u4f18\u5316\u4ee3\u7801\u5b9e\u73b0&#xff1a;\u6838\u5fc3\u7b97\u6cd5\u7684\u9ad8\u6027\u80fd\u5b9e\u73b0<\/h4>\n<p>\u4ee5\u4e0b\u63d0\u4f9bAgentic\u4ea4\u901a\u7cfb\u7edf\u4e2d\u51e0\u4e2a\u6838\u5fc3\u7b97\u6cd5\u7684\u4f18\u5316\u5b9e\u73b0\u793a\u4f8b&#xff1a;<\/p>\n<h5>4.2.1 \u5206\u5e03\u5f0f\u8def\u5f84\u89c4\u5212\u667a\u80fd\u4f53&#xff08;Python\u5b9e\u73b0&#xff09;<\/h5>\n<p><span class=\"token keyword\">import<\/span> numpy <span class=\"token keyword\">as<\/span> np<br \/>\n<span class=\"token keyword\">import<\/span> networkx <span class=\"token keyword\">as<\/span> nx<br \/>\n<span class=\"token keyword\">from<\/span> typing <span class=\"token keyword\">import<\/span> List<span class=\"token punctuation\">,<\/span> Tuple<span class=\"token punctuation\">,<\/span> Dict<span class=\"token punctuation\">,<\/span> Optional<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">PathPlanningAgent<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">def<\/span> <span class=\"token function\">__init__<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> agent_id<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">str<\/span><span class=\"token punctuation\">,<\/span> graph<span class=\"token punctuation\">:<\/span> nx<span class=\"token punctuation\">.<\/span>Graph<span class=\"token punctuation\">,<\/span><br \/>\n                 prompt_template<span class=\"token punctuation\">:<\/span> Dict <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\n        \u521d\u59cb\u5316\u8def\u5f84\u89c4\u5212\u667a\u80fd\u4f53<\/p>\n<p>        \u53c2\u6570:<br \/>\n            agent_id: \u667a\u80fd\u4f53\u552f\u4e00\u6807\u8bc6\u7b26<br \/>\n            graph: \u4ea4\u901a\u7f51\u7edc\u56fe<br \/>\n            prompt_template: \u63d0\u793a\u6a21\u677f&#xff0c;\u5305\u542b\u76ee\u6807\u3001\u7ea6\u675f\u548c\u534f\u4f5c\u89c4\u5219<br \/>\n        &#034;&#034;&#034;<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>agent_id <span class=\"token operator\">&#061;<\/span> agent_id<br \/>\n        self<span class=\"token punctuation\">.<\/span>graph <span class=\"token operator\">&#061;<\/span> graph<br \/>\n        self<span class=\"token punctuation\">.<\/span>prompt_template <span class=\"token operator\">&#061;<\/span> prompt_template <span class=\"token keyword\">or<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token string\">&#034;objective&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token string\">&#034;minimize_time&#034;<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            <span class=\"token string\">&#034;constraints&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token string\">&#034;max_delay&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token number\">60<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;avoid_highways&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token boolean\">False<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            <span class=\"token string\">&#034;coordination_strategy&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token string\">&#034;selfish&#034;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\"># \u7f13\u5b58\u548c\u4f18\u5316\u53c2\u6570<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>path_cache <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token punctuation\">}<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>last_update_time <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>learning_rate <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.1<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>exploration_prob <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.2<\/span>  <span class=\"token comment\"># \u63a2\u7d22\u6982\u7387&#xff0c;\u7528\u4e8e\u8def\u5f84\u591a\u6837\u5316<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">update_prompt<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> new_prompt<span class=\"token punctuation\">:<\/span> Dict<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;\u66f4\u65b0\u63d0\u793a&#xff0c;\u8c03\u6574\u8def\u5f84\u89c4\u5212\u7b56\u7565&#034;&#034;&#034;<\/span><br \/>\n        <span class=\"token comment\"># \u5408\u5e76\u65b0\u63d0\u793a\u4e0e\u73b0\u6709\u63d0\u793a&#xff0c;\u65b0\u63d0\u793a\u4f18\u5148<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>prompt_template <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token operator\">**<\/span>self<span class=\"token punctuation\">.<\/span>prompt_template<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">**<\/span>new_prompt<span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\"># \u6839\u636e\u65b0\u63d0\u793a\u8c03\u6574\u884c\u4e3a\u53c2\u6570<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> self<span class=\"token punctuation\">.<\/span>prompt_template<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;coordination_strategy&#034;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token string\">&#034;altruistic&#034;<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            self<span class=\"token punctuation\">.<\/span>exploration_prob <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.3<\/span>  <span class=\"token comment\"># \u66f4\u9ad8\u7684\u63a2\u7d22\u6982\u7387\u4ee5\u5e2e\u52a9\u7cfb\u7edf\u6574\u4f53\u4f18\u5316<\/span><br \/>\n        <span class=\"token keyword\">else<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            self<span class=\"token punctuation\">.<\/span>exploration_prob <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0.1<\/span>  <span class=\"token comment\"># \u66f4\u4f4e\u7684\u63a2\u7d22\u6982\u7387\u4ee5\u4f18\u5316\u4e2a\u4f53\u6027\u80fd<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">_parse_prompt_objective<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> List<span class=\"token punctuation\">[<\/span>Tuple<span class=\"token punctuation\">[<\/span><span class=\"token builtin\">str<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">float<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;\u89e3\u6790\u63d0\u793a\u4e2d\u7684\u76ee\u6807\u51fd\u6570\u548c\u6743\u91cd&#034;&#034;&#034;<\/span><br \/>\n        objective_map <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token string\">&#034;minimize_time&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;travel_time&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1.0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            <span class=\"token string\">&#034;minimize_distance&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;distance&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1.0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            <span class=\"token string\">&#034;minimize_energy&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;energy_consumption&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1.0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><br \/>\n            <span class=\"token string\">&#034;balanced&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;travel_time&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0.5<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;distance&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0.3<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;energy_consumption&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0.2<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">]<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>        objective <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>prompt_template<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;objective&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;minimize_time&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token builtin\">isinstance<\/span><span class=\"token punctuation\">(<\/span>objective<span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">list<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> objective  <span class=\"token comment\"># \u76f4\u63a5\u4f7f\u7528\u81ea\u5b9a\u4e49\u76ee\u6807\u5217\u8868<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> objective_map<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span>objective<span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;travel_time&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1.0<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">_apply_prompt_constraints<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> paths<span class=\"token punctuation\">:<\/span> List<span class=\"token punctuation\">[<\/span>Tuple<span class=\"token punctuation\">[<\/span>List<span class=\"token punctuation\">[<\/span><span class=\"token builtin\">str<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> Dict<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> List<span class=\"token punctuation\">[<\/span>Tuple<span class=\"token punctuation\">[<\/span>List<span class=\"token punctuation\">[<\/span><span class=\"token builtin\">str<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> Dict<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;\u5e94\u7528\u63d0\u793a\u4e2d\u7684\u7ea6\u675f\u6761\u4ef6\u8fc7\u6ee4\u8def\u5f84&#034;&#034;&#034;<\/span><br \/>\n        constraints <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>prompt_template<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;constraints&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        filtered_paths <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><\/p>\n<p>        <span class=\"token keyword\">for<\/span> path<span class=\"token punctuation\">,<\/span> metrics <span class=\"token keyword\">in<\/span> paths<span class=\"token punctuation\">:<\/span><br \/>\n            valid <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><\/p>\n<p>            <span class=\"token comment\"># \u6700\u5927\u5ef6\u8fdf\u7ea6\u675f<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> <span class=\"token string\">&#034;max_delay&#034;<\/span> <span class=\"token keyword\">in<\/span> constraints <span class=\"token keyword\">and<\/span> metrics<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;delay&#034;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&gt;<\/span> constraints<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;max_delay&#034;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                valid <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">False<\/span><\/p>\n<p>            <span class=\"token comment\"># \u907f\u514d\u9ad8\u901f\u516c\u8def\u7ea6\u675f<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> constraints<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;avoid_highways&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token boolean\">False<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                <span class=\"token keyword\">for<\/span> u<span class=\"token punctuation\">,<\/span> v <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">zip<\/span><span class=\"token punctuation\">(<\/span>path<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">:<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> path<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                    <span class=\"token keyword\">if<\/span> self<span class=\"token punctuation\">.<\/span>graph<span class=\"token punctuation\">.<\/span>edges<span class=\"token punctuation\">[<\/span>u<span class=\"token punctuation\">,<\/span> v<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;highway&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token boolean\">False<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                        valid <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">False<\/span><br \/>\n                        <span class=\"token keyword\">break<\/span><\/p>\n<p>            <span class=\"token comment\"># \u6dfb\u52a0\u5176\u4ed6\u7ea6\u675f\u68c0\u67e5&#8230;<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> valid<span class=\"token punctuation\">:<\/span><br \/>\n                filtered_paths<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">(<\/span>path<span class=\"token punctuation\">,<\/span> metrics<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> filtered_paths <span class=\"token keyword\">if<\/span> filtered_paths <span class=\"token keyword\">else<\/span> paths  <span class=\"token comment\"># \u5982\u679c\u90fd\u88ab\u8fc7\u6ee4&#xff0c;\u8fd4\u56de\u539f\u59cb\u8def\u5f84<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">compute_path_metrics<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> path<span class=\"token punctuation\">:<\/span> List<span class=\"token punctuation\">[<\/span><span class=\"token builtin\">str<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> Dict<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;\u8ba1\u7b97\u8def\u5f84\u7684\u5404\u9879\u6307\u6807&#034;&#034;&#034;<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>path<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">2<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token string\">&#034;travel_time&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;distance&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;energy_consumption&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;delay&#034;<\/span><span class=\"token punctuation\">:<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">}<\/span><\/p>\n<p>        total_time <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><br \/>\n        total_distance <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><\/p>\n<p>        <span class=\"token keyword\">for<\/span> u<span class=\"token punctuation\">,<\/span> v <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">zip<\/span><span class=\"token punctuation\">(<\/span>path<span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">:<\/span><span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> path<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">:<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            edge_data <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>graph<span class=\"token punctuation\">.<\/span>edges<span class=\"token punctuation\">[<\/span>u<span class=\"token punctuation\">,<\/span> v<span class=\"token punctuation\">]<\/span><br \/>\n            total_distance <span class=\"token operator\">&#043;&#061;<\/span> edge_data<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;length&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>            <span class=\"token comment\"># \u57fa\u4e8e\u5f53\u524d\u4ea4\u901a\u72b6\u51b5\u8ba1\u7b97\u65c5\u884c\u65f6\u95f4<\/span><br \/>\n            base_time <span class=\"token operator\">&#061;<\/span> edge_data<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;length&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> edge_data<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;speed_limit&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">50<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> <span class=\"token number\">3600<\/span><br \/>\n            congestion_factor <span class=\"token operator\">&#061;<\/span> edge_data<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;congestion_factor&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1.0<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            total_time <span class=\"token operator\">&#043;&#061;<\/span> base_time <span class=\"token operator\">*<\/span> congestion_factor<\/p>\n<p>        <span class=\"token comment\"># \u7b80\u5316\u7684\u80fd\u8017\u6a21\u578b<\/span><br \/>\n        energy_consumption <span class=\"token operator\">&#061;<\/span> total_distance <span class=\"token operator\">*<\/span> <span class=\"token number\">0.1<\/span> <span class=\"token operator\">*<\/span> np<span class=\"token punctuation\">.<\/span>mean<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">[<\/span>self<span class=\"token punctuation\">.<\/span>graph<span class=\"token punctuation\">.<\/span>nodes<span class=\"token punctuation\">[<\/span>n<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;elevation&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">for<\/span> n <span class=\"token keyword\">in<\/span> path<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            <span class=\"token string\">&#034;travel_time&#034;<\/span><span class=\"token punctuation\">:<\/span> total_time<span class=\"token punctuation\">,<\/span><br \/>\n            <span class=\"token string\">&#034;distance&#034;<\/span><span class=\"token punctuation\">:<\/span> total_distance<span class=\"token punctuation\">,<\/span><br \/>\n            <span class=\"token string\">&#034;energy_consumption&#034;<\/span><span class=\"token punctuation\">:<\/span> energy_consumption<span class=\"token punctuation\">,<\/span><br \/>\n            <span class=\"token string\">&#034;delay&#034;<\/span><span class=\"token punctuation\">:<\/span> total_time <span class=\"token operator\">&#8211;<\/span> <span class=\"token punctuation\">(<\/span>total_distance <span class=\"token operator\">\/<\/span> <span class=\"token number\">50<\/span> <span class=\"token operator\">*<\/span> <span class=\"token number\">3600<\/span><span class=\"token punctuation\">)<\/span>  <span class=\"token comment\"># \u4e0e\u81ea\u7531\u6d41\u65f6\u95f4\u7684\u5dee<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">plan_path<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">,<\/span> origin<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">str<\/span><span class=\"token punctuation\">,<\/span> destination<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">str<\/span><span class=\"token punctuation\">,<\/span><br \/>\n                 current_time<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">float<\/span><span class=\"token punctuation\">,<\/span> context<span class=\"token punctuation\">:<\/span> Optional<span class=\"token punctuation\">[<\/span>Dict<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">None<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> Tuple<span class=\"token punctuation\">[<\/span>List<span class=\"token punctuation\">[<\/span><span class=\"token builtin\">str<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> Dict<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token triple-quoted-string string\">&#034;&#034;&#034;<br \/>\n        \u89c4\u5212\u4ece\u8d77\u70b9\u5230\u7ec8\u70b9\u7684\u8def\u5f84<\/p>\n<p>        \u53c2\u6570:<br \/>\n            origin: \u8d77\u70b9\u8282\u70b9ID<br \/>\n            destination: \u7ec8\u70b9\u8282\u70b9ID<br \/>\n            current_time: \u5f53\u524d\u65f6\u95f4\u6233<br \/>\n            context: \u989d\u5916\u4e0a\u4e0b\u6587\u4fe1\u606f&#xff08;\u5982\u5929\u6c14\u3001\u7279\u6b8a\u4e8b\u4ef6&#xff09;<\/p>\n<p>        \u8fd4\u56de:<br \/>\n            \u6700\u4f18\u8def\u5f84\u548c\u76f8\u5173\u6307\u6807<br \/>\n        &#034;&#034;&#034;<\/span><br \/>\n        context <span class=\"token operator\">&#061;<\/span> context <span class=\"token keyword\">or<\/span> <span class=\"token punctuation\">{<\/span><span class=\"token punctuation\">}<\/span><\/p>\n<p>        <span class=\"token comment\"># \u68c0\u67e5\u7f13\u5b58<\/span><br \/>\n        cache_key <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>origin<span class=\"token punctuation\">,<\/span> destination<span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">frozenset<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>prompt_template<span class=\"token punctuation\">.<\/span>items<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> cache_key <span class=\"token keyword\">in<\/span> self<span class=\"token punctuation\">.<\/span>path_cache<span class=\"token punctuation\">:<\/span><br \/>\n            cached_path<span class=\"token punctuation\">,<\/span> cached_metrics<span class=\"token punctuation\">,<\/span> cache_time <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>path_cache<span class=\"token punctuation\">[<\/span>cache_key<span class=\"token punctuation\">]<\/span><br \/>\n            <span class=\"token keyword\">if<\/span> current_time <span class=\"token operator\">&#8211;<\/span> cache_time <span class=\"token operator\">&lt;<\/span> <span class=\"token number\">300<\/span><span class=\"token punctuation\">:<\/span>  <span class=\"token comment\"># 5\u5206\u949f\u5185\u7f13\u5b58\u6709\u6548<\/span><br \/>\n                <span class=\"token keyword\">return<\/span> cached_path<span class=\"token punctuation\">,<\/span> cached_metrics<\/p>\n<p>        <span class=\"token comment\"># \u89e3\u6790\u76ee\u6807\u51fd\u6570<\/span><br \/>\n        objectives <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>_parse_prompt_objective<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">if<\/span> <span class=\"token keyword\">not<\/span> <span class=\"token builtin\">isinstance<\/span><span class=\"token punctuation\">(<\/span>objectives<span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">list<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            objectives <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span>objectives<span class=\"token punctuation\">]<\/span><\/p>\n<p>        <span class=\"token comment\"># \u751f\u6210\u591a\u6761\u5019\u9009\u8def\u5f84&#xff08;\u8003\u8651\u63a2\u7d22\u6982\u7387&#xff09;<\/span><br \/>\n        num_candidates <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">5<\/span><br \/>\n        candidate_paths <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><\/p>\n<p>        <span class=\"token comment\"># \u57fa\u4e8e\u4e0d\u540c\u6743\u91cd\u591a\u6b21\u8fd0\u884cA*\u7b97\u6cd5\u751f\u6210\u5019\u9009\u8def\u5f84<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> i <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span>num_candidates<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token comment\"># \u6839\u636e\u76ee\u6807\u52a8\u6001\u8c03\u6574A*\u7b97\u6cd5\u7684\u542f\u53d1\u51fd\u6570\u6743\u91cd<\/span><br \/>\n            weights <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span>metric<span class=\"token punctuation\">:<\/span> weight <span class=\"token operator\">&#043;<\/span> np<span class=\"token punctuation\">.<\/span>random<span class=\"token punctuation\">.<\/span>normal<span class=\"token punctuation\">(<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0.1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">for<\/span> metric<span class=\"token punctuation\">,<\/span> weight <span class=\"token keyword\">in<\/span> objectives<span class=\"token punctuation\">}<\/span><br \/>\n            normalized_weights <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span>k<span class=\"token punctuation\">:<\/span> v<span class=\"token operator\">\/<\/span><span class=\"token builtin\">sum<\/span><span class=\"token punctuation\">(<\/span>weights<span class=\"token punctuation\">.<\/span>values<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">for<\/span> k<span class=\"token punctuation\">,<\/span> v <span class=\"token keyword\">in<\/span> weights<span class=\"token punctuation\">.<\/span>items<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span><\/p>\n<p>            <span class=\"token comment\"># \u81ea\u5b9a\u4e49\u542f\u53d1\u51fd\u6570&#xff0c;\u878d\u5408\u591a\u4e2a\u76ee\u6807<\/span><br \/>\n            <span class=\"token keyword\">def<\/span> <span class=\"token function\">heuristic<\/span><span class=\"token punctuation\">(<\/span>u<span class=\"token punctuation\">,<\/span> v<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                <span class=\"token keyword\">if<\/span> u <span class=\"token keyword\">not<\/span> <span class=\"token keyword\">in<\/span> self<span class=\"token punctuation\">.<\/span>graph <span class=\"token keyword\">or<\/span> v <span class=\"token keyword\">not<\/span> <span class=\"token keyword\">in<\/span> self<span class=\"token punctuation\">.<\/span>graph<span class=\"token punctuation\">:<\/span><br \/>\n                    <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><br \/>\n                dx <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>graph<span class=\"token punctuation\">.<\/span>nodes<span class=\"token punctuation\">[<\/span>u<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;x&#034;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#8211;<\/span> self<span class=\"token punctuation\">.<\/span>graph<span class=\"token punctuation\">.<\/span>nodes<span class=\"token punctuation\">[<\/span>v<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;x&#034;<\/span><span class=\"token punctuation\">]<\/span><br \/>\n                dy <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>graph<span class=\"token punctuation\">.<\/span>nodes<span class=\"token punctuation\">[<\/span>u<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;y&#034;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#8211;<\/span> self<span class=\"token punctuation\">.<\/span>graph<span class=\"token punctuation\">.<\/span>nodes<span class=\"token punctuation\">[<\/span>v<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;y&#034;<\/span><span class=\"token punctuation\">]<\/span><br \/>\n                distance <span class=\"token operator\">&#061;<\/span> np<span class=\"token punctuation\">.<\/span>sqrt<span class=\"token punctuation\">(<\/span>dx<span class=\"token operator\">*<\/span>dx <span class=\"token operator\">&#043;<\/span> dy<span class=\"token operator\">*<\/span>dy<span class=\"token punctuation\">)<\/span><\/p>\n<p>                <span class=\"token comment\"># \u57fa\u7840\u65f6\u95f4\u4f30\u8ba1<\/span><br \/>\n                time_est <span class=\"token operator\">&#061;<\/span> distance <span class=\"token operator\">\/<\/span> <span class=\"token number\">50<\/span> <span class=\"token operator\">*<\/span> <span class=\"token number\">3600<\/span>  <span class=\"token comment\"># \u5047\u8bbe\u5e73\u5747\u901f\u5ea650km\/h<\/span><\/p>\n<p>                <span class=\"token comment\"># \u52a0\u6743\u7ec4\u5408\u591a\u4e2a\u56e0\u7d20<\/span><br \/>\n                <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">(<\/span>normalized_weights<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;travel_time&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> time_est <span class=\"token operator\">&#043;<\/span><br \/>\n                        normalized_weights<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;distance&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> distance<span class=\"token punctuation\">)<\/span><\/p>\n<p>            <span class=\"token keyword\">try<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                <span class=\"token comment\"># \u4f7f\u7528A*\u7b97\u6cd5\u5bfb\u627e\u8def\u5f84<\/span><br \/>\n                path <span class=\"token operator\">&#061;<\/span> nx<span class=\"token punctuation\">.<\/span>astar_path<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>graph<span class=\"token punctuation\">,<\/span> origin<span class=\"token punctuation\">,<\/span> destination<span class=\"token punctuation\">,<\/span> heuristic<span class=\"token operator\">&#061;<\/span>heuristic<span class=\"token punctuation\">)<\/span><br \/>\n                metrics <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>compute_path_metrics<span class=\"token punctuation\">(<\/span>path<span class=\"token punctuation\">)<\/span><br \/>\n                candidate_paths<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">(<\/span>path<span class=\"token punctuation\">,<\/span> metrics<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            <span class=\"token keyword\">except<\/span> nx<span class=\"token punctuation\">.<\/span>NetworkXNoPath<span class=\"token punctuation\">:<\/span><br \/>\n                <span class=\"token keyword\">continue<\/span>  <span class=\"token comment\"># \u5982\u679c\u627e\u4e0d\u5230\u8def\u5f84&#xff0c;\u5c1d\u8bd5\u5176\u4ed6\u6743\u91cd\u7ec4\u5408<\/span><\/p>\n<p>        <span class=\"token keyword\">if<\/span> <span class=\"token keyword\">not<\/span> candidate_paths<span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">raise<\/span> ValueError<span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u65e0\u6cd5\u627e\u5230\u4ece<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>origin<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">\u5230<\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>destination<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">\u7684\u8def\u5f84&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>        <span class=\"token comment\"># 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