{"id":15673,"date":"2025-04-18T22:12:57","date_gmt":"2025-04-18T14:12:57","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/15673.html"},"modified":"2025-04-18T22:12:57","modified_gmt":"2025-04-18T14:12:57","slug":"%e3%80%90%e9%80%9a%e4%bf%a1%e3%80%91%e5%9f%ba%e4%ba%8e%e6%a8%a1%e6%8b%9f%e9%80%80%e7%81%ab%e7%ae%97%e6%b3%95%e6%b1%82%e8%a7%a3%e8%80%83%e8%99%91%e6%97%b6%e5%bb%b6%e5%92%8c%e8%83%bd%e8%80%97%e7%9a%84","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/15673.html","title":{"rendered":"\u3010\u901a\u4fe1\u3011\u57fa\u4e8e\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u6c42\u89e3\u8003\u8651\u65f6\u5ef6\u548c\u80fd\u8017\u7684\u591a\u7528\u6237\u591a\u670d\u52a1\u5668\u79fb\u52a8\u8fb9\u7f18\u8ba1\u7b97\u7f51\u7edc\u7cfb\u7edf\u7684\u5378\u8f7d\u51b3\u7b56\u548c\u8ba1\u7b97\u3001\u901a\u4fe1\u8d44\u6e90\u5206\u914d\u7b97\u6cd5\u9644Matlab\u4ee3\u7801"},"content":{"rendered":"<p>\u2705\u4f5c\u8005\u7b80\u4ecb&#xff1a;\u70ed\u7231\u79d1\u7814\u7684Matlab\u4eff\u771f\u5f00\u53d1\u8005&#xff0c;\u64c5\u957f\u6570\u636e\u5904\u7406\u3001\u5efa\u6a21\u4eff\u771f\u3001\u7a0b\u5e8f\u8bbe\u8ba1\u3001\u5b8c\u6574\u4ee3\u7801\u83b7\u53d6\u3001\u8bba\u6587\u590d\u73b0\u53ca\u79d1\u7814\u4eff\u771f\u3002<\/p>\n<p>&#x1f34e; 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Algorithm&#xff0c;SAA&#xff09;\u6c42\u89e3\u8003\u8651\u65f6\u5ef6\u548c\u80fd\u8017\u7684\u591a\u7528\u6237\u591a\u670d\u52a1\u5668MEC\u7f51\u7edc\u7cfb\u7edf\u7684\u5378\u8f7d\u51b3\u7b56\u548c\u8ba1\u7b97\u3001\u901a\u4fe1\u8d44\u6e90\u5206\u914d\u95ee\u9898\u3002\u8be5\u7cfb\u7edf\u6a21\u578b\u6d89\u53ca\u591a\u4e2a\u79fb\u52a8\u7528\u6237&#xff0c;\u6bcf\u4e2a\u7528\u6237\u6709\u591a\u4e2a\u4efb\u52a1\u9700\u8981\u6267\u884c&#xff0c;\u540c\u65f6\u5b58\u5728\u591a\u4e2a\u914d\u5907\u8ba1\u7b97\u80fd\u529b\u7684\u8fb9\u7f18\u670d\u52a1\u5668\u3002\u6bcf\u4e2a\u7528\u6237\u53ef\u4ee5\u9009\u62e9\u5c06\u4efb\u52a1\u5378\u8f7d\u5230\u4e0d\u540c\u7684\u8fb9\u7f18\u670d\u52a1\u5668\u6267\u884c&#xff0c;\u4e5f\u53ef\u4ee5\u9009\u62e9\u5728\u672c\u5730\u6267\u884c\u3002\u6b64\u5916&#xff0c;\u8fb9\u7f18\u670d\u52a1\u5668\u4e5f\u62e5\u6709\u4e0d\u540c\u7684\u8ba1\u7b97\u80fd\u529b\u548c\u80fd\u91cf\u6d88\u8017\u7279\u6027\u3002\u56e0\u6b64&#xff0c;\u95ee\u9898\u7684\u6838\u5fc3\u5728\u4e8e&#xff1a;<\/p>\n<li>\u5378\u8f7d\u51b3\u7b56&#xff1a;\n<p>\u00a0\u786e\u5b9a\u6bcf\u4e2a\u7528\u6237\u7684\u4efb\u52a1\u662f\u5426\u5e94\u8be5\u5378\u8f7d&#xff0c;\u4ee5\u53ca\u5378\u8f7d\u5230\u54ea\u4e2a\u8fb9\u7f18\u670d\u52a1\u5668\u3002<\/p>\n<\/li>\n<li>\u8ba1\u7b97\u8d44\u6e90\u5206\u914d&#xff1a;\n<p>\u00a0\u786e\u5b9a\u6bcf\u4e2a\u8fb9\u7f18\u670d\u52a1\u5668\u5e94\u8be5\u4e3a\u5378\u8f7d\u5230\u8be5\u670d\u52a1\u5668\u7684\u6bcf\u4e2a\u4efb\u52a1\u5206\u914d\u591a\u5c11\u8ba1\u7b97\u8d44\u6e90\u3002<\/p>\n<\/li>\n<li>\u901a\u4fe1\u8d44\u6e90\u5206\u914d&#xff1a;\n<p>\u00a0\u786e\u5b9a\u6bcf\u4e2a\u79fb\u52a8\u7528\u6237\u5728\u5c06\u4efb\u52a1\u6570\u636e\u4f20\u8f93\u5230\u8fb9\u7f18\u670d\u52a1\u5668\u65f6&#xff0c;\u5e94\u8be5\u5206\u914d\u591a\u5c11\u901a\u4fe1\u8d44\u6e90\u3002<\/p>\n<\/li>\n<p>\u4ee5\u4e0a\u4e09\u4e2a\u51b3\u7b56\u53d8\u91cf\u76f8\u4e92\u5173\u8054&#xff0c;\u5171\u540c\u5f71\u54cd\u7740\u7cfb\u7edf\u7684\u65f6\u5ef6\u548c\u80fd\u8017\u6027\u80fd\u3002\u5982\u679c\u6240\u6709\u4efb\u52a1\u90fd\u5728\u672c\u5730\u6267\u884c&#xff0c;\u867d\u7136\u53ef\u4ee5\u907f\u514d\u901a\u4fe1\u5f00\u9500&#xff0c;\u4f46\u53ef\u80fd\u4f1a\u56e0\u4e3a\u79fb\u52a8\u8bbe\u5907\u7684\u8ba1\u7b97\u80fd\u529b\u4e0d\u8db3\u800c\u5bfc\u81f4\u8f83\u9ad8\u7684\u65f6\u5ef6\u548c\u80fd\u91cf\u6d88\u8017\u3002\u5982\u679c\u6240\u6709\u4efb\u52a1\u90fd\u5378\u8f7d\u5230\u8fb9\u7f18\u670d\u52a1\u5668\u6267\u884c&#xff0c;\u867d\u7136\u53ef\u4ee5\u5229\u7528\u8fb9\u7f18\u670d\u52a1\u5668\u5f3a\u5927\u7684\u8ba1\u7b97\u80fd\u529b\u964d\u4f4e\u65f6\u5ef6&#xff0c;\u4f46\u4f1a\u5e26\u6765\u989d\u5916\u7684\u901a\u4fe1\u5f00\u9500\u548c\u8fb9\u7f18\u670d\u52a1\u5668\u7684\u8d44\u6e90\u7ade\u4e89\u3002<\/p>\n<p>\u4e3a\u4e86\u89e3\u51b3\u4e0a\u8ff0\u4f18\u5316\u95ee\u9898&#xff0c;\u672c\u6587\u63d0\u51fa\u4e86\u4e00\u79cd\u57fa\u4e8e\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u7684\u89e3\u51b3\u65b9\u6848\u3002\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u662f\u4e00\u79cd\u57fa\u4e8e\u6982\u7387\u7684\u641c\u7d22\u7b97\u6cd5&#xff0c;\u5b83\u6a21\u62df\u4e86\u56fa\u4f53\u9000\u706b\u7684\u8fc7\u7a0b&#xff0c;\u901a\u8fc7\u9010\u6e10\u964d\u4f4e\u6e29\u5ea6&#xff0c;\u4f7f\u7cfb\u7edf\u9010\u6b65\u8d8b\u4e8e\u80fd\u91cf\u6700\u4f4e\u7684\u72b6\u6001&#xff0c;\u4ece\u800c\u627e\u5230\u95ee\u9898\u7684\u6700\u4f18\u89e3\u6216\u8fd1\u4f3c\u6700\u4f18\u89e3\u3002\u76f8\u6bd4\u4e8e\u4f20\u7edf\u7684\u5c40\u90e8\u641c\u7d22\u7b97\u6cd5&#xff0c;\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5177\u6709\u8df3\u51fa\u5c40\u90e8\u6700\u4f18\u89e3\u7684\u80fd\u529b&#xff0c;\u56e0\u6b64\u66f4\u9002\u5408\u89e3\u51b3\u590d\u6742\u7684\u4f18\u5316\u95ee\u9898\u3002<\/p>\n<p>\u672c\u6587\u57fa\u4e8e\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u7684\u89e3\u51b3\u65b9\u6848\u7684\u5177\u4f53\u6b65\u9aa4\u5982\u4e0b&#xff1a;<\/p>\n<li>\n<p>\u7f16\u7801\u65b9\u6848&#xff1a;\u00a0\u9996\u5148&#xff0c;\u6211\u4eec\u9700\u8981\u5c06\u5378\u8f7d\u51b3\u7b56\u3001\u8ba1\u7b97\u8d44\u6e90\u5206\u914d\u548c\u901a\u4fe1\u8d44\u6e90\u5206\u914d\u4e09\u4e2a\u51b3\u7b56\u53d8\u91cf\u7f16\u7801\u6210\u4e00\u4e2a\u5408\u9002\u7684\u89e3\u7a7a\u95f4\u3002\u4f8b\u5982&#xff0c;\u53ef\u4ee5\u7528\u4e00\u4e2a\u5411\u91cf\u6765\u8868\u793a\u4e00\u4e2a\u89e3&#xff0c;\u5411\u91cf\u7684\u6bcf\u4e2a\u5143\u7d20\u5206\u522b\u4ee3\u8868\u4e00\u4e2a\u7528\u6237\u7684\u5378\u8f7d\u51b3\u7b56\u3001\u5206\u914d\u7684\u8ba1\u7b97\u8d44\u6e90\u548c\u901a\u4fe1\u8d44\u6e90\u3002<\/p>\n<\/li>\n<li>\n<p>\u76ee\u6807\u51fd\u6570&#xff1a;\u00a0\u5b9a\u4e49\u4e00\u4e2a\u76ee\u6807\u51fd\u6570&#xff0c;\u7528\u4e8e\u8bc4\u4f30\u6bcf\u4e2a\u89e3\u7684\u4f18\u52a3\u7a0b\u5ea6\u3002\u76ee\u6807\u51fd\u6570\u901a\u5e38\u662f\u5173\u4e8e\u65f6\u5ef6\u548c\u80fd\u8017\u7684\u51fd\u6570&#xff0c;\u6211\u4eec\u7684\u76ee\u6807\u662f\u6700\u5c0f\u5316\u76ee\u6807\u51fd\u6570\u3002\u5177\u4f53\u800c\u8a00&#xff0c;\u76ee\u6807\u51fd\u6570\u53ef\u4ee5\u8868\u793a\u4e3a&#xff1a;<\/p>\n<p>F &#061; w1 * (\u2211User_Delay) &#043; w2 * (\u2211User_Energy &#043; \u2211Server_Energy)<\/p>\n<p>\u5176\u4e2d&#xff0c;User_Delay\u00a0\u4ee3\u8868\u6240\u6709\u7528\u6237\u7684\u603b\u65f6\u5ef6&#xff0c;User_Energy\u00a0\u4ee3\u8868\u6240\u6709\u7528\u6237\u7684\u603b\u80fd\u8017&#xff0c;Server_Energy\u00a0\u4ee3\u8868\u6240\u6709\u8fb9\u7f18\u670d\u52a1\u5668\u7684\u603b\u80fd\u8017&#xff0c;w1\u00a0\u548c\u00a0w2\u00a0\u662f\u6743\u91cd\u56e0\u5b50&#xff0c;\u7528\u4e8e\u5e73\u8861\u65f6\u5ef6\u548c\u80fd\u8017\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u8ba1\u7b97User_Delay\u9700\u8981\u8003\u8651\u4efb\u52a1\u5728\u672c\u5730\u6267\u884c\u7684\u65f6\u5ef6&#xff0c;\u6216\u8005\u4efb\u52a1\u5378\u8f7d\u5230\u8fb9\u7f18\u670d\u52a1\u5668\u65f6&#xff0c;\u4efb\u52a1\u5728\u901a\u4fe1\u94fe\u8def\u4e0a\u7684\u4f20\u8f93\u65f6\u5ef6\u548c\u8fb9\u7f18\u670d\u52a1\u5668\u7684\u8ba1\u7b97\u65f6\u5ef6\u3002\u540c\u6837&#xff0c;\u8ba1\u7b97User_Energy\u9700\u8981\u8003\u8651\u672c\u5730\u6267\u884c\u7684\u80fd\u8017&#xff0c;\u6216\u8005\u4efb\u52a1\u5378\u8f7d\u5230\u8fb9\u7f18\u670d\u52a1\u5668\u65f6&#xff0c;\u4efb\u52a1\u5728\u901a\u4fe1\u94fe\u8def\u4e0a\u7684\u4f20\u8f93\u80fd\u8017\u3002Server_Energy\u00a0\u4e3b\u8981\u53d6\u51b3\u4e8e\u8fb9\u7f18\u670d\u52a1\u5668\u5206\u914d\u7684\u8ba1\u7b97\u8d44\u6e90\u548c\u8fd0\u884c\u65f6\u95f4\u3002<\/p>\n<\/li>\n<li>\n<p>\u521d\u59cb\u89e3\u751f\u6210&#xff1a;\u00a0\u968f\u673a\u751f\u6210\u4e00\u4e2a\u521d\u59cb\u89e3&#xff0c;\u4f5c\u4e3a\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u7684\u8d77\u70b9\u3002<\/p>\n<\/li>\n<li>\n<p>\u90bb\u57df\u641c\u7d22&#xff1a;\u00a0\u5728\u5f53\u524d\u89e3\u7684\u90bb\u57df\u5185\u968f\u673a\u751f\u6210\u4e00\u4e2a\u65b0\u7684\u89e3\u3002\u90bb\u57df\u641c\u7d22\u53ef\u4ee5\u901a\u8fc7\u968f\u673a\u6539\u53d8\u5378\u8f7d\u51b3\u7b56\u3001\u8ba1\u7b97\u8d44\u6e90\u5206\u914d\u6216\u901a\u4fe1\u8d44\u6e90\u5206\u914d\u6765\u5b9e\u73b0\u3002\u4f8b\u5982&#xff0c;\u53ef\u4ee5\u968f\u673a\u9009\u62e9\u4e00\u4e2a\u7528\u6237&#xff0c;\u6539\u53d8\u5176\u5378\u8f7d\u51b3\u7b56&#xff0c;\u6216\u8005\u968f\u673a\u6539\u53d8\u4e00\u4e2a\u8fb9\u7f18\u670d\u52a1\u5668\u4e3a\u67d0\u4e2a\u4efb\u52a1\u5206\u914d\u7684\u8ba1\u7b97\u8d44\u6e90\u3002<\/p>\n<\/li>\n<li>\n<p>\u63a5\u53d7\u51c6\u5219&#xff1a;\u00a0\u6839\u636eMetropolis\u51c6\u5219\u5224\u65ad\u662f\u5426\u63a5\u53d7\u65b0\u7684\u89e3\u3002Metropolis\u51c6\u5219\u7684\u516c\u5f0f\u5982\u4e0b&#xff1a;<\/p>\n<p>P &#061; min(1, exp(-(F_new &#8211; F_current) \/ T))<\/p>\n<p>\u5176\u4e2d&#xff0c;F_new\u00a0\u662f\u65b0\u89e3\u7684\u76ee\u6807\u51fd\u6570\u503c&#xff0c;F_current\u00a0\u662f\u5f53\u524d\u89e3\u7684\u76ee\u6807\u51fd\u6570\u503c&#xff0c;T\u00a0\u662f\u5f53\u524d\u6e29\u5ea6\u3002\u5982\u679c\u00a0F_new\u00a0\u5c0f\u4e8e\u00a0F_current&#xff0c;\u5219\u63a5\u53d7\u65b0\u89e3\u3002\u5426\u5219&#xff0c;\u4ee5\u6982\u7387\u00a0P\u00a0\u63a5\u53d7\u65b0\u89e3\u3002<\/p>\n<\/li>\n<li>\n<p>\u6e29\u5ea6\u66f4\u65b0&#xff1a;\u00a0\u6309\u7167\u4e00\u5b9a\u7684\u964d\u6e29\u7b56\u7565\u964d\u4f4e\u6e29\u5ea6\u3002\u5e38\u89c1\u7684\u964d\u6e29\u7b56\u7565\u5305\u62ec\u7ebf\u6027\u964d\u6e29\u3001\u6307\u6570\u964d\u6e29\u548c\u5bf9\u6570\u964d\u6e29\u3002\u4f8b\u5982&#xff0c;\u53ef\u4ee5\u4f7f\u7528\u6307\u6570\u964d\u6e29\u7b56\u7565&#xff1a;<\/p>\n<p>T &#061; alpha * T<\/p>\n<p>\u5176\u4e2d&#xff0c;alpha\u00a0\u662f\u4e00\u4e2a\u5c0f\u4e8e1\u7684\u5e38\u6570&#xff0c;\u8868\u793a\u964d\u6e29\u7cfb\u6570\u3002<\/p>\n<\/li>\n<li>\n<p>\u7ec8\u6b62\u6761\u4ef6&#xff1a;\u00a0\u5f53\u6e29\u5ea6\u964d\u4f4e\u5230\u8db3\u591f\u4f4e&#xff0c;\u6216\u8005\u8fbe\u5230\u6700\u5927\u8fed\u4ee3\u6b21\u6570\u65f6&#xff0c;\u7b97\u6cd5\u7ec8\u6b62\u3002<\/p>\n<\/li>\n<p>\u8be5\u7b97\u6cd5\u7684\u4f18\u52bf\u5728\u4e8e&#xff1a;<\/p>\n<ul>\n<li>\u5168\u5c40\u641c\u7d22\u80fd\u529b&#xff1a;\n<p>\u00a0\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u80fd\u591f\u8df3\u51fa\u5c40\u90e8\u6700\u4f18\u89e3&#xff0c;\u627e\u5230\u5168\u5c40\u6700\u4f18\u89e3\u6216\u8fd1\u4f3c\u6700\u4f18\u89e3\u3002<\/p>\n<\/li>\n<li>\u9002\u5e94\u6027\u5f3a&#xff1a;\n<p>\u00a0\u8be5\u7b97\u6cd5\u53ef\u4ee5\u9002\u5e94\u4e0d\u540c\u7684\u7f51\u7edc\u62d3\u6251\u7ed3\u6784\u548c\u4efb\u52a1\u7279\u5f81\u3002<\/p>\n<\/li>\n<li>\u7075\u6d3b\u6027&#xff1a;\n<p>\u00a0\u53ef\u4ee5\u901a\u8fc7\u8c03\u6574\u6743\u91cd\u56e0\u5b50\u548c\u964d\u6e29\u7b56\u7565\u6765\u5e73\u8861\u65f6\u5ef6\u548c\u80fd\u8017\u4e4b\u95f4\u7684\u5173\u7cfb&#xff0c;\u6ee1\u8db3\u4e0d\u540c\u7684\u5e94\u7528\u9700\u6c42\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u7136\u800c&#xff0c;\u8be5\u7b97\u6cd5\u4e5f\u5b58\u5728\u4e00\u4e9b\u5c40\u9650\u6027&#xff1a;<\/p>\n<ul>\n<li>\u53c2\u6570\u8c03\u6574&#xff1a;\n<p>\u00a0\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u7684\u6027\u80fd\u5bf9\u53c2\u6570&#xff08;\u5982\u521d\u59cb\u6e29\u5ea6\u3001\u964d\u6e29\u7cfb\u6570\u3001\u90bb\u57df\u641c\u7d22\u65b9\u6cd5&#xff09;\u7684\u8bbe\u7f6e\u6bd4\u8f83\u654f\u611f&#xff0c;\u9700\u8981\u8fdb\u884c\u5927\u91cf\u7684\u5b9e\u9a8c\u624d\u80fd\u627e\u5230\u5408\u9002\u7684\u53c2\u6570\u3002<\/p>\n<\/li>\n<li>\u8ba1\u7b97\u590d\u6742\u5ea6&#xff1a;\n<p>\u00a0\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u7684\u8ba1\u7b97\u590d\u6742\u5ea6\u8f83\u9ad8&#xff0c;\u5c24\u5176\u662f\u5728\u95ee\u9898\u89c4\u6a21\u8f83\u5927\u65f6&#xff0c;\u9700\u8981\u8f83\u957f\u7684\u8fd0\u884c\u65f6\u95f4\u3002<\/p>\n<\/li>\n<\/ul>\n<h3>\u26f3\ufe0f \u8fd0\u884c\u7ed3\u679c<\/h3>\n<\/p>\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"525\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/04\/20250418141256-68025de81ef10.png\" width=\"700\" \/><\/p>\n<\/p>\n<h3>&#x1f517; \u53c2\u8003\u6587\u732e<\/h3>\n<p>T. X. Tran and D. Pompili. Joint Task Offloading and Resource Allocation for Multi-Server Mobile-Edge Computing Networks[J]. IEEE Transactions on Vehicular Technology. 68(1). 2019,1: 856-868\u3002<\/p>\n<h3>&#x1f4e3; \u90e8\u5206\u4ee3\u7801<\/h3>\n<\/p>\n<h6>&#x1f388; \u90e8\u5206\u7406\u8bba\u5f15\u7528\u7f51\u7edc\u6587\u732e&#xff0c;\u82e5\u6709\u4fb5\u6743\u8054\u7cfb\u535a\u4e3b\u5220\u9664<\/h6>\n<p>\u00a0&#x1f447; \u5173\u6ce8\u6211\u9886\u53d6\u6d77\u91cfmatlab\u7535\u5b50\u4e66\u548c\u6570\u5b66\u5efa\u6a21\u8d44\u6599\u00a0<\/p>\n<h4>&#x1f3c6;\u56e2\u961f\u64c5\u957f\u8f85\u5bfc\u5b9a\u5236\u591a\u79cd\u79d1\u7814\u9886\u57dfMATLAB\u4eff\u771f&#xff0c;\u52a9\u529b\u79d1\u7814\u68a6&#xff1a;<\/h4>\n<h5>&#x1f308; \u5404\u7c7b\u667a\u80fd\u4f18\u5316\u7b97\u6cd5\u6539\u8fdb\u53ca\u5e94\u7528<\/h5>\n<h6>\u751f\u4ea7\u8c03\u5ea6\u3001\u7ecf\u6d4e\u8c03\u5ea6\u3001\u88c5\u914d\u7ebf\u8c03\u5ea6\u3001\u5145\u7535\u4f18\u5316\u3001\u8f66\u95f4\u8c03\u5ea6\u3001\u53d1\u8f66\u4f18\u5316\u3001\u6c34\u5e93\u8c03\u5ea6\u3001\u4e09\u7ef4\u88c5\u7bb1\u3001\u7269\u6d41\u9009\u5740\u3001\u8d27\u4f4d\u4f18\u5316\u3001\u516c\u4ea4\u6392\u73ed\u4f18\u5316\u3001\u5145\u7535\u6869\u5e03\u5c40\u4f18\u5316\u3001\u8f66\u95f4\u5e03\u5c40\u4f18\u5316\u3001\u96c6\u88c5\u7bb1\u8239\u914d\u8f7d\u4f18\u5316\u3001\u6c34\u6cf5\u7ec4\u5408\u4f18\u5316\u3001\u89e3\u533b\u7597\u8d44\u6e90\u5206\u914d\u4f18\u5316\u3001\u8bbe\u65bd\u5e03\u5c40\u4f18\u5316\u3001\u53ef\u89c6\u57df\u57fa\u7ad9\u548c\u65e0\u4eba\u673a\u9009\u5740\u4f18\u5316\u3001\u80cc\u5305\u95ee\u9898\u3001 \u98ce\u7535\u573a\u5e03\u5c40\u3001\u65f6\u9699\u5206\u914d\u4f18\u5316\u3001 \u6700\u4f73\u5206\u5e03\u5f0f\u53d1\u7535\u5355\u5143\u5206\u914d\u3001\u591a\u9636\u6bb5\u7ba1\u9053\u7ef4\u4fee\u3001 \u5de5\u5382-\u4e2d\u5fc3-\u9700\u6c42\u70b9\u4e09\u7ea7\u9009\u5740\u95ee\u9898\u3001 \u5e94\u6025\u751f\u6d3b\u7269\u8d28\u914d\u9001\u4e2d\u5fc3\u9009\u5740\u3001 \u57fa\u7ad9\u9009\u5740\u3001 \u9053\u8def\u706f\u67f1\u5e03\u7f6e\u3001 \u67a2\u7ebd\u8282\u70b9\u90e8\u7f72\u3001 \u8f93\u7535\u7ebf\u8def\u53f0\u98ce\u76d1\u6d4b\u88c5\u7f6e\u3001 \u96c6\u88c5\u7bb1\u8c03\u5ea6\u3001 \u673a\u7ec4\u4f18\u5316\u3001 \u6295\u8d44\u4f18\u5316\u7ec4\u5408\u3001\u4e91\u670d\u52a1\u5668\u7ec4\u5408\u4f18\u5316\u3001 \u5929\u7ebf\u7ebf\u6027\u9635\u5217\u5206\u5e03\u4f18\u5316\u3001CVRP\u95ee\u9898\u3001VRPPD\u95ee\u9898\u3001\u591a\u4e2d\u5fc3VRP\u95ee\u9898\u3001\u591a\u5c42\u7f51\u7edc\u7684VRP\u95ee\u9898\u3001\u591a\u4e2d\u5fc3\u591a\u8f66\u578b\u7684VRP\u95ee\u9898\u3001 \u52a8\u6001VRP\u95ee\u9898\u3001\u53cc\u5c42\u8f66\u8f86\u8def\u5f84\u89c4\u5212&#xff08;2E-VRP&#xff09;\u3001\u5145\u7535\u8f66\u8f86\u8def\u5f84\u89c4\u5212&#xff08;EVRP&#xff09;\u3001\u6cb9\u7535\u6df7\u5408\u8f66\u8f86\u8def\u5f84\u89c4\u5212\u3001\u6df7\u5408\u6d41\u6c34\u8f66\u95f4\u95ee\u9898\u3001 \u8ba2\u5355\u62c6\u5206\u8c03\u5ea6\u95ee\u9898\u3001 \u516c\u4ea4\u8f66\u7684\u8c03\u5ea6\u6392\u73ed\u4f18\u5316\u95ee\u9898\u3001\u822a\u73ed\u6446\u6e21\u8f66\u8f86\u8c03\u5ea6\u95ee\u9898\u3001\u9009\u5740\u8def\u5f84\u89c4\u5212\u95ee\u9898\u3001\u6e2f\u53e3\u8c03\u5ea6\u3001\u6e2f\u53e3\u5cb8\u6865\u8c03\u5ea6\u3001\u505c\u673a\u4f4d\u5206\u914d\u3001\u673a\u573a\u822a\u73ed\u8c03\u5ea6\u3001\u6cc4\u6f0f\u6e90\u5b9a\u4f4d<\/h6>\n<h5>&#x1f308; \u673a\u5668\u5b66\u4e60\u548c\u6df1\u5ea6\u5b66\u4e60\u65f6\u5e8f\u3001\u56de\u5f52\u3001\u5206\u7c7b\u3001\u805a\u7c7b\u548c\u964d\u7ef4<\/h5>\n<p>2.1 bp\u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b\u548c\u5206\u7c7b<\/p>\n<p>2.2 ENS\u58f0\u795e\u7ecf\u7f51\u7edc\u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b\u548c\u5206\u7c7b<\/p>\n<p>2.3 SVM\/CNN-SVM\/LSSVM\/RVM\u652f\u6301\u5411\u91cf\u673a\u7cfb\u5217\u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b\u548c\u5206\u7c7b<\/p>\n<p>2.4 CNN|TCN|GCN\u5377\u79ef\u795e\u7ecf\u7f51\u7edc\u7cfb\u5217\u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b\u548c\u5206\u7c7b<\/p>\n<h6>2.5 ELM\/KELM\/RELM\/DELM\u6781\u9650\u5b66\u4e60\u673a\u7cfb\u5217\u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b\u548c\u5206\u7c7b<\/h6>\n<h6>2.6 GRU\/Bi-GRU\/CNN-GRU\/CNN-BiGRU\u95e8\u63a7\u795e\u7ecf\u7f51\u7edc\u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b\u548c\u5206\u7c7b<\/h6>\n<p>2.7 ELMAN\u9012\u5f52\u795e\u7ecf\u7f51\u7edc\u65f6\u5e8f\u3001\u56de\u5f52\\\\\u9884\u6d4b\u548c\u5206\u7c7b<\/p>\n<h6>2.8 LSTM\/BiLSTM\/CNN-LSTM\/CNN-BiLSTM\/\u957f\u77ed\u8bb0\u5fc6\u795e\u7ecf\u7f51\u7edc\u7cfb\u5217\u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b\u548c\u5206\u7c7b<\/h6>\n<p>2.9 RBF\u5f84\u5411\u57fa\u795e\u7ecf\u7f51\u7edc\u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b\u548c\u5206\u7c7b<\/p>\n<h6>2.10 DBN\u6df1\u5ea6\u7f6e\u4fe1\u7f51\u7edc\u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b\u548c\u5206\u7c7b<\/h6>\n<h6>2.11 FNN\u6a21\u7cca\u795e\u7ecf\u7f51\u7edc\u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b<\/h6>\n<h6>2.12 RF\u968f\u673a\u68ee\u6797\u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b\u548c\u5206\u7c7b<\/h6>\n<h6>2.13 BLS\u5bbd\u5ea6\u5b66\u4e60\u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b\u548c\u5206\u7c7b<\/h6>\n<h6>2.14 PNN\u8109\u51b2\u795e\u7ecf\u7f51\u7edc\u5206\u7c7b<\/h6>\n<h6>2.15 \u6a21\u7cca\u5c0f\u6ce2\u795e\u7ecf\u7f51\u7edc\u9884\u6d4b\u548c\u5206\u7c7b<\/h6>\n<h6>2.16 \u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b\u548c\u5206\u7c7b<\/h6>\n<h6>2.17 \u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b\u9884\u6d4b\u548c\u5206\u7c7b<\/h6>\n<h6>2.18 XGBOOST\u96c6\u6210\u5b66\u4e60\u65f6\u5e8f\u3001\u56de\u5f52\u9884\u6d4b\u9884\u6d4b\u548c\u5206\u7c7b<\/h6>\n<h6>2.19 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