{"id":23927,"date":"2025-04-19T08:56:27","date_gmt":"2025-04-19T00:56:27","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/23927.html"},"modified":"2025-04-19T08:56:27","modified_gmt":"2025-04-19T00:56:27","slug":"java-%e9%a2%86%e5%9f%9f%ef%bc%9atomcat-%e6%9c%8d%e5%8a%a1%e5%99%a8%e7%9a%84%e9%ab%98%e5%8f%af%e7%94%a8%e6%9e%b6%e6%9e%84%e8%ae%be%e8%ae%a1","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/23927.html","title":{"rendered":"Java \u9886\u57df\uff1aTomcat \u670d\u52a1\u5668\u7684\u9ad8\u53ef\u7528\u67b6\u6784\u8bbe\u8ba1"},"content":{"rendered":"<h2>Java \u9886\u57df&#xff1a;Tomcat \u670d\u52a1\u5668\u7684\u9ad8\u53ef\u7528\u67b6\u6784\u8bbe\u8ba1<\/h2>\n<p>\u5173\u952e\u8bcd&#xff1a;Tomcat \u670d\u52a1\u5668\u3001\u9ad8\u53ef\u7528\u67b6\u6784\u3001\u8d1f\u8f7d\u5747\u8861\u3001\u6545\u969c\u8f6c\u79fb\u3001\u4f1a\u8bdd\u7ba1\u7406<\/p>\n<p>\u6458\u8981&#xff1a;\u672c\u6587\u805a\u7126\u4e8e Java \u9886\u57df\u4e2d Tomcat \u670d\u52a1\u5668\u7684\u9ad8\u53ef\u7528\u67b6\u6784\u8bbe\u8ba1\u3002\u9996\u5148\u4ecb\u7ecd\u4e86\u76f8\u5173\u80cc\u666f&#xff0c;\u5305\u62ec\u76ee\u7684\u8303\u56f4\u3001\u9884\u671f\u8bfb\u8005\u7b49\u5185\u5bb9\u3002\u63a5\u7740\u9610\u8ff0\u4e86\u6838\u5fc3\u6982\u5ff5\u4e0e\u8054\u7cfb&#xff0c;\u8be6\u7ec6\u8bb2\u89e3\u4e86 Tomcat \u9ad8\u53ef\u7528\u67b6\u6784\u6d89\u53ca\u7684\u539f\u7406\u548c\u67b6\u6784\u3002\u7136\u540e\u6df1\u5165\u63a2\u8ba8\u4e86\u6838\u5fc3\u7b97\u6cd5\u539f\u7406\u53ca\u5177\u4f53\u64cd\u4f5c\u6b65\u9aa4&#xff0c;\u4f7f\u7528 Python \u4ee3\u7801\u8fdb\u884c\u8bf4\u660e\u3002\u901a\u8fc7\u6570\u5b66\u6a21\u578b\u548c\u516c\u5f0f\u8fdb\u4e00\u6b65\u5206\u6790\u5176\u539f\u7406&#xff0c;\u5e76\u4e3e\u4f8b\u8bf4\u660e\u3002\u5728\u9879\u76ee\u5b9e\u6218\u90e8\u5206&#xff0c;\u7ed9\u51fa\u4ee3\u7801\u5b9e\u9645\u6848\u4f8b\u5e76\u8fdb\u884c\u8be6\u7ec6\u89e3\u91ca\u3002\u4e4b\u540e\u5217\u4e3e\u4e86\u5b9e\u9645\u5e94\u7528\u573a\u666f&#xff0c;\u63a8\u8350\u4e86\u76f8\u5173\u7684\u5de5\u5177\u548c\u8d44\u6e90\u3002\u6700\u540e\u603b\u7ed3\u4e86\u672a\u6765\u53d1\u5c55\u8d8b\u52bf\u4e0e\u6311\u6218&#xff0c;\u63d0\u4f9b\u4e86\u5e38\u89c1\u95ee\u9898\u4e0e\u89e3\u7b54\u4ee5\u53ca\u6269\u5c55\u9605\u8bfb\u548c\u53c2\u8003\u8d44\u6599&#xff0c;\u65e8\u5728\u5e2e\u52a9\u5f00\u53d1\u8005\u6784\u5efa\u7a33\u5b9a\u3001\u9ad8\u6548\u7684 Tomcat \u9ad8\u53ef\u7528\u67b6\u6784\u3002<\/p>\n<h3>1. \u80cc\u666f\u4ecb\u7ecd<\/h3>\n<h4>1.1 \u76ee\u7684\u548c\u8303\u56f4<\/h4>\n<p>\u5728\u5f53\u4eca\u7684\u4e92\u8054\u7f51\u5e94\u7528\u4e2d&#xff0c;\u7528\u6237\u5bf9\u4e8e\u670d\u52a1\u7684\u53ef\u7528\u6027\u8981\u6c42\u8d8a\u6765\u8d8a\u9ad8\u3002Tomcat \u4f5c\u4e3a Java \u9886\u57df\u5e7f\u6cdb\u4f7f\u7528\u7684 Web \u670d\u52a1\u5668&#xff0c;\u5176\u9ad8\u53ef\u7528\u6027\u76f4\u63a5\u5173\u7cfb\u5230\u5e94\u7528\u7cfb\u7edf\u7684\u7a33\u5b9a\u8fd0\u884c\u3002\u672c\u6587\u7ae0\u7684\u76ee\u7684\u5728\u4e8e\u6df1\u5165\u63a2\u8ba8 Tomcat \u670d\u52a1\u5668\u9ad8\u53ef\u7528\u67b6\u6784\u7684\u8bbe\u8ba1\u65b9\u6cd5&#xff0c;\u6db5\u76d6\u4ece\u57fa\u672c\u6982\u5ff5\u5230\u5b9e\u9645\u5e94\u7528\u7684\u5404\u4e2a\u65b9\u9762&#xff0c;\u5305\u62ec\u67b6\u6784\u539f\u7406\u3001\u7b97\u6cd5\u5b9e\u73b0\u3001\u9879\u76ee\u5b9e\u6218\u4ee5\u53ca\u76f8\u5173\u5de5\u5177\u8d44\u6e90\u7b49\u5185\u5bb9&#xff0c;\u65e8\u5728\u4e3a\u5f00\u53d1\u8005\u63d0\u4f9b\u5168\u9762\u4e14\u5b9e\u7528\u7684\u6307\u5bfc&#xff0c;\u5e2e\u52a9\u4ed6\u4eec\u6784\u5efa\u5177\u6709\u9ad8\u53ef\u7528\u6027\u7684 Tomcat \u670d\u52a1\u5668\u67b6\u6784\u3002<\/p>\n<h4>1.2 \u9884\u671f\u8bfb\u8005<\/h4>\n<p>\u672c\u6587\u4e3b\u8981\u9762\u5411 Java \u5f00\u53d1\u4eba\u5458\u3001\u7cfb\u7edf\u67b6\u6784\u5e08\u3001\u8fd0\u7ef4\u5de5\u7a0b\u5e08\u7b49\u5bf9 Tomcat \u670d\u52a1\u5668\u548c\u9ad8\u53ef\u7528\u67b6\u6784\u611f\u5174\u8da3\u7684\u4e13\u4e1a\u4eba\u58eb\u3002\u65e0\u8bba\u662f\u521d\u5b66\u8005\u5e0c\u671b\u4e86\u89e3 Tomcat \u9ad8\u53ef\u7528\u7684\u57fa\u672c\u6982\u5ff5&#xff0c;\u8fd8\u662f\u6709\u4e00\u5b9a\u7ecf\u9a8c\u7684\u5f00\u53d1\u8005\u5bfb\u6c42\u4f18\u5316\u73b0\u6709\u67b6\u6784\u7684\u65b9\u6cd5&#xff0c;\u90fd\u80fd\u4ece\u672c\u6587\u4e2d\u83b7\u5f97\u6709\u4ef7\u503c\u7684\u4fe1\u606f\u3002<\/p>\n<h4>1.3 \u6587\u6863\u7ed3\u6784\u6982\u8ff0<\/h4>\n<p>\u672c\u6587\u5c06\u6309\u7167\u4ee5\u4e0b\u7ed3\u6784\u5c55\u5f00&#xff1a;\u9996\u5148\u4ecb\u7ecd\u6838\u5fc3\u6982\u5ff5\u4e0e\u8054\u7cfb&#xff0c;\u8ba9\u8bfb\u8005\u5bf9 Tomcat \u9ad8\u53ef\u7528\u67b6\u6784\u6709\u521d\u6b65\u7684\u8ba4\u8bc6&#xff1b;\u63a5\u7740\u8be6\u7ec6\u8bb2\u89e3\u6838\u5fc3\u7b97\u6cd5\u539f\u7406\u548c\u5177\u4f53\u64cd\u4f5c\u6b65\u9aa4&#xff0c;\u901a\u8fc7 Python \u4ee3\u7801\u8fdb\u884c\u8bf4\u660e&#xff1b;\u7136\u540e\u8fd0\u7528\u6570\u5b66\u6a21\u578b\u548c\u516c\u5f0f\u5bf9\u67b6\u6784\u539f\u7406\u8fdb\u884c\u6df1\u5165\u5206\u6790&#xff0c;\u5e76\u4e3e\u4f8b\u8bf4\u660e&#xff1b;\u5728\u9879\u76ee\u5b9e\u6218\u90e8\u5206&#xff0c;\u7ed9\u51fa\u5b9e\u9645\u7684\u4ee3\u7801\u6848\u4f8b\u5e76\u8fdb\u884c\u8be6\u7ec6\u89e3\u91ca&#xff1b;\u4e4b\u540e\u5217\u4e3e\u5b9e\u9645\u5e94\u7528\u573a\u666f&#xff1b;\u518d\u63a8\u8350\u76f8\u5173\u7684\u5de5\u5177\u548c\u8d44\u6e90&#xff1b;\u6700\u540e\u603b\u7ed3\u672a\u6765\u53d1\u5c55\u8d8b\u52bf\u4e0e\u6311\u6218&#xff0c;\u63d0\u4f9b\u5e38\u89c1\u95ee\u9898\u4e0e\u89e3\u7b54\u4ee5\u53ca\u6269\u5c55\u9605\u8bfb\u548c\u53c2\u8003\u8d44\u6599\u3002<\/p>\n<h4>1.4 \u672f\u8bed\u8868<\/h4>\n<h5>1.4.1 \u6838\u5fc3\u672f\u8bed\u5b9a\u4e49<\/h5>\n<ul>\n<li>Tomcat \u670d\u52a1\u5668&#xff1a;\u4e00\u4e2a\u5f00\u6e90\u7684 Servlet \u5bb9\u5668&#xff0c;\u5e38\u7528\u4e8e\u8fd0\u884c Java Web \u5e94\u7528\u7a0b\u5e8f\u3002<\/li>\n<li>\u9ad8\u53ef\u7528\u67b6\u6784&#xff1a;\u6307\u7cfb\u7edf\u5177\u5907\u5728\u5927\u90e8\u5206\u65f6\u95f4\u5185\u4fdd\u6301\u53ef\u7528\u72b6\u6001\u7684\u80fd\u529b&#xff0c;\u80fd\u591f\u5728\u786c\u4ef6\u6545\u969c\u3001\u8f6f\u4ef6\u9519\u8bef\u7b49\u5f02\u5e38\u60c5\u51b5\u4e0b\u8fc5\u901f\u6062\u590d\u670d\u52a1&#xff0c;\u51cf\u5c11\u505c\u673a\u65f6\u95f4\u3002<\/li>\n<li>\u8d1f\u8f7d\u5747\u8861&#xff1a;\u5c06\u8bf7\u6c42\u5747\u5300\u5730\u5206\u914d\u5230\u591a\u4e2a\u670d\u52a1\u5668\u4e0a&#xff0c;\u4ee5\u63d0\u9ad8\u7cfb\u7edf\u7684\u5904\u7406\u80fd\u529b\u548c\u6027\u80fd&#xff0c;\u907f\u514d\u5355\u4e2a\u670d\u52a1\u5668\u8fc7\u8f7d\u3002<\/li>\n<li>\u6545\u969c\u8f6c\u79fb&#xff1a;\u5f53\u67d0\u4e2a\u670d\u52a1\u5668\u51fa\u73b0\u6545\u969c\u65f6&#xff0c;\u81ea\u52a8\u5c06\u670d\u52a1\u5207\u6362\u5230\u5176\u4ed6\u6b63\u5e38\u8fd0\u884c\u7684\u670d\u52a1\u5668\u4e0a&#xff0c;\u786e\u4fdd\u670d\u52a1\u7684\u8fde\u7eed\u6027\u3002<\/li>\n<li>\u4f1a\u8bdd\u7ba1\u7406&#xff1a;\u8d1f\u8d23\u7ba1\u7406\u7528\u6237\u5728\u5e94\u7528\u7a0b\u5e8f\u4e2d\u7684\u4f1a\u8bdd\u4fe1\u606f&#xff0c;\u786e\u4fdd\u7528\u6237\u5728\u4e0d\u540c\u670d\u52a1\u5668\u4e4b\u95f4\u5207\u6362\u65f6\u4f1a\u8bdd\u7684\u8fde\u7eed\u6027\u3002<\/li>\n<\/ul>\n<h5>1.4.2 \u76f8\u5173\u6982\u5ff5\u89e3\u91ca<\/h5>\n<ul>\n<li>\u96c6\u7fa4&#xff1a;\u5c06\u591a\u4e2a\u670d\u52a1\u5668\u8fde\u63a5\u5728\u4e00\u8d77&#xff0c;\u5f62\u6210\u4e00\u4e2a\u903b\u8f91\u4e0a\u7684\u6574\u4f53&#xff0c;\u5171\u540c\u63d0\u4f9b\u670d\u52a1\u3002\u96c6\u7fa4\u53ef\u4ee5\u63d0\u9ad8\u7cfb\u7edf\u7684\u5904\u7406\u80fd\u529b\u548c\u53ef\u7528\u6027\u3002<\/li>\n<li>\u53cd\u5411\u4ee3\u7406&#xff1a;\u4f4d\u4e8e\u670d\u52a1\u5668\u7aef&#xff0c;\u63a5\u6536\u5ba2\u6237\u7aef\u7684\u8bf7\u6c42&#xff0c;\u5e76\u5c06\u8bf7\u6c42\u8f6c\u53d1\u5230\u540e\u7aef\u7684\u670d\u52a1\u5668\u4e0a\u3002\u53cd\u5411\u4ee3\u7406\u53ef\u4ee5\u9690\u85cf\u540e\u7aef\u670d\u52a1\u5668\u7684\u771f\u5b9e\u5730\u5740&#xff0c;\u63d0\u9ad8\u7cfb\u7edf\u7684\u5b89\u5168\u6027\u3002<\/li>\n<li>\u5fc3\u8df3\u68c0\u6d4b&#xff1a;\u901a\u8fc7\u5b9a\u671f\u53d1\u9001\u5fc3\u8df3\u4fe1\u53f7\u6765\u68c0\u6d4b\u670d\u52a1\u5668\u7684\u8fd0\u884c\u72b6\u6001&#xff0c;\u5f53\u670d\u52a1\u5668\u5728\u4e00\u5b9a\u65f6\u95f4\u5185\u6ca1\u6709\u54cd\u5e94\u5fc3\u8df3\u4fe1\u53f7\u65f6&#xff0c;\u8ba4\u4e3a\u8be5\u670d\u52a1\u5668\u51fa\u73b0\u6545\u969c\u3002<\/li>\n<\/ul>\n<h5>1.4.3 \u7f29\u7565\u8bcd\u5217\u8868<\/h5>\n<ul>\n<li>HA&#xff1a;High Availability&#xff0c;\u9ad8\u53ef\u7528\u6027<\/li>\n<li>LB&#xff1a;Load Balancing&#xff0c;\u8d1f\u8f7d\u5747\u8861<\/li>\n<li>F5&#xff1a;\u4e00\u79cd\u77e5\u540d\u7684\u8d1f\u8f7d\u5747\u8861\u8bbe\u5907<\/li>\n<\/ul>\n<h3>2. \u6838\u5fc3\u6982\u5ff5\u4e0e\u8054\u7cfb<\/h3>\n<h4>\u6838\u5fc3\u6982\u5ff5\u539f\u7406<\/h4>\n<p>Tomcat \u670d\u52a1\u5668\u7684\u9ad8\u53ef\u7528\u67b6\u6784\u4e3b\u8981\u57fa\u4e8e\u96c6\u7fa4\u3001\u8d1f\u8f7d\u5747\u8861\u548c\u6545\u969c\u8f6c\u79fb\u7b49\u6280\u672f\u3002\u96c6\u7fa4\u662f\u5c06\u591a\u4e2a Tomcat \u670d\u52a1\u5668\u7ec4\u5408\u5728\u4e00\u8d77&#xff0c;\u5f62\u6210\u4e00\u4e2a\u903b\u8f91\u4e0a\u7684\u6574\u4f53&#xff0c;\u5171\u540c\u5904\u7406\u8bf7\u6c42\u3002\u8d1f\u8f7d\u5747\u8861\u5219\u662f\u5c06\u5ba2\u6237\u7aef\u7684\u8bf7\u6c42\u5747\u5300\u5730\u5206\u914d\u5230\u96c6\u7fa4\u4e2d\u7684\u5404\u4e2a\u670d\u52a1\u5668\u4e0a&#xff0c;\u907f\u514d\u5355\u4e2a\u670d\u52a1\u5668\u8fc7\u8f7d\u3002\u6545\u969c\u8f6c\u79fb\u662f\u5f53\u67d0\u4e2a\u670d\u52a1\u5668\u51fa\u73b0\u6545\u969c\u65f6&#xff0c;\u81ea\u52a8\u5c06\u670d\u52a1\u5207\u6362\u5230\u5176\u4ed6\u6b63\u5e38\u8fd0\u884c\u7684\u670d\u52a1\u5668\u4e0a&#xff0c;\u786e\u4fdd\u670d\u52a1\u7684\u8fde\u7eed\u6027\u3002<\/p>\n<p>\u4f1a\u8bdd\u7ba1\u7406\u4e5f\u662f\u9ad8\u53ef\u7528\u67b6\u6784\u4e2d\u7684\u91cd\u8981\u73af\u8282\u3002\u5728\u96c6\u7fa4\u73af\u5883\u4e2d&#xff0c;\u7528\u6237\u7684\u4f1a\u8bdd\u4fe1\u606f\u9700\u8981\u5728\u591a\u4e2a\u670d\u52a1\u5668\u4e4b\u95f4\u5171\u4eab&#xff0c;\u4ee5\u786e\u4fdd\u7528\u6237\u5728\u4e0d\u540c\u670d\u52a1\u5668\u4e4b\u95f4\u5207\u6362\u65f6\u4f1a\u8bdd\u7684\u8fde\u7eed\u6027\u3002\u5e38\u89c1\u7684\u4f1a\u8bdd\u7ba1\u7406\u65b9\u5f0f\u6709\u4f1a\u8bdd\u590d\u5236\u3001\u4f1a\u8bdd\u7c98\u6027\u548c\u4f1a\u8bdd\u5171\u4eab\u7b49\u3002<\/p>\n<h4>\u67b6\u6784\u7684\u6587\u672c\u793a\u610f\u56fe<\/h4>\n<p>\u4ee5\u4e0b\u662f\u4e00\u4e2a\u7b80\u5355\u7684 Tomcat \u9ad8\u53ef\u7528\u67b6\u6784\u7684\u6587\u672c\u793a\u610f\u56fe&#xff1a;<\/p>\n<p>\u5ba2\u6237\u7aef\u8bf7\u6c42 -&gt; \u8d1f\u8f7d\u5747\u8861\u5668 -&gt; Tomcat \u96c6\u7fa4&#xff08;\u591a\u4e2a Tomcat \u670d\u52a1\u5668&#xff09;<\/p>\n<p>\u5ba2\u6237\u7aef\u7684\u8bf7\u6c42\u9996\u5148\u5230\u8fbe\u8d1f\u8f7d\u5747\u8861\u5668&#xff0c;\u8d1f\u8f7d\u5747\u8861\u5668\u6839\u636e\u4e00\u5b9a\u7684\u7b97\u6cd5\u5c06\u8bf7\u6c42\u5206\u914d\u5230 Tomcat \u96c6\u7fa4\u4e2d\u7684\u67d0\u4e2a\u670d\u52a1\u5668\u4e0a\u3002\u5982\u679c\u67d0\u4e2a\u670d\u52a1\u5668\u51fa\u73b0\u6545\u969c&#xff0c;\u8d1f\u8f7d\u5747\u8861\u5668\u4f1a\u81ea\u52a8\u5c06\u8bf7\u6c42\u8f6c\u53d1\u5230\u5176\u4ed6\u6b63\u5e38\u8fd0\u884c\u7684\u670d\u52a1\u5668\u4e0a\u3002<\/p>\n<h4>Mermaid \u6d41\u7a0b\u56fe<\/h4>\n<p>  #mermaid-svg-UV4KFu1NC3qnsjHl {font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:16px;fill:#333;}#mermaid-svg-UV4KFu1NC3qnsjHl .error-icon{fill:#552222;}#mermaid-svg-UV4KFu1NC3qnsjHl .error-text{fill:#552222;stroke:#552222;}#mermaid-svg-UV4KFu1NC3qnsjHl .edge-thickness-normal{stroke-width:2px;}#mermaid-svg-UV4KFu1NC3qnsjHl .edge-thickness-thick{stroke-width:3.5px;}#mermaid-svg-UV4KFu1NC3qnsjHl .edge-pattern-solid{stroke-dasharray:0;}#mermaid-svg-UV4KFu1NC3qnsjHl .edge-pattern-dashed{stroke-dasharray:3;}#mermaid-svg-UV4KFu1NC3qnsjHl .edge-pattern-dotted{stroke-dasharray:2;}#mermaid-svg-UV4KFu1NC3qnsjHl .marker{fill:#333333;stroke:#333333;}#mermaid-svg-UV4KFu1NC3qnsjHl .marker.cross{stroke:#333333;}#mermaid-svg-UV4KFu1NC3qnsjHl svg{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:16px;}#mermaid-svg-UV4KFu1NC3qnsjHl .label{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;color:#333;}#mermaid-svg-UV4KFu1NC3qnsjHl .cluster-label text{fill:#333;}#mermaid-svg-UV4KFu1NC3qnsjHl .cluster-label span{color:#333;}#mermaid-svg-UV4KFu1NC3qnsjHl .label text,#mermaid-svg-UV4KFu1NC3qnsjHl span{fill:#333;color:#333;}#mermaid-svg-UV4KFu1NC3qnsjHl .node rect,#mermaid-svg-UV4KFu1NC3qnsjHl .node circle,#mermaid-svg-UV4KFu1NC3qnsjHl .node ellipse,#mermaid-svg-UV4KFu1NC3qnsjHl .node polygon,#mermaid-svg-UV4KFu1NC3qnsjHl .node path{fill:#ECECFF;stroke:#9370DB;stroke-width:1px;}#mermaid-svg-UV4KFu1NC3qnsjHl .node .label{text-align:center;}#mermaid-svg-UV4KFu1NC3qnsjHl .node.clickable{cursor:pointer;}#mermaid-svg-UV4KFu1NC3qnsjHl .arrowheadPath{fill:#333333;}#mermaid-svg-UV4KFu1NC3qnsjHl .edgePath .path{stroke:#333333;stroke-width:2.0px;}#mermaid-svg-UV4KFu1NC3qnsjHl .flowchart-link{stroke:#333333;fill:none;}#mermaid-svg-UV4KFu1NC3qnsjHl .edgeLabel{background-color:#e8e8e8;text-align:center;}#mermaid-svg-UV4KFu1NC3qnsjHl .edgeLabel rect{opacity:0.5;background-color:#e8e8e8;fill:#e8e8e8;}#mermaid-svg-UV4KFu1NC3qnsjHl .cluster rect{fill:#ffffde;stroke:#aaaa33;stroke-width:1px;}#mermaid-svg-UV4KFu1NC3qnsjHl .cluster text{fill:#333;}#mermaid-svg-UV4KFu1NC3qnsjHl .cluster span{color:#333;}#mermaid-svg-UV4KFu1NC3qnsjHl 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-UV4KFu1NC3qnsjHl :root{&#8211;mermaid-font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;}#mermaid-svg-UV4KFu1NC3qnsjHl .process&gt;*{fill:#E5F6FF!important;stroke:#73A6FF!important;stroke-width:2px!important;}#mermaid-svg-UV4KFu1NC3qnsjHl .process span{fill:#E5F6FF!important;stroke:#73A6FF!important;stroke-width:2px!important;} <\/p>\n<p>         <span id=\"L-L-A-B\" class=\"edgeLabel L-LS-A&#039; L-LE-B\"><\/span> <\/p>\n<p>         <span id=\"L-L-B-C1\" class=\"edgeLabel L-LS-B&#039; L-LE-C1\"><\/span> <\/p>\n<p>         <span id=\"L-L-B-C2\" class=\"edgeLabel L-LS-B&#039; L-LE-C2\"><\/span> <\/p>\n<p>         <span id=\"L-L-B-C3\" class=\"edgeLabel L-LS-B&#039; L-LE-C3\"><\/span> <\/p>\n<p>         <span id=\"L-L-C1-C2\" class=\"edgeLabel L-LS-C1&#039; L-LE-C2\">\u6545\u969c\u8f6c\u79fb<\/span> <\/p>\n<p>         <span id=\"L-L-C1-C3\" class=\"edgeLabel L-LS-C1&#039; L-LE-C3\">\u6545\u969c\u8f6c\u79fb<\/span> <\/p>\n<p>         <span id=\"L-L-C2-C1\" class=\"edgeLabel L-LS-C2&#039; L-LE-C1\">\u6545\u969c\u8f6c\u79fb<\/span> <\/p>\n<p>         <span id=\"L-L-C2-C3\" class=\"edgeLabel L-LS-C2&#039; L-LE-C3\">\u6545\u969c\u8f6c\u79fb<\/span> <\/p>\n<p>         <span id=\"L-L-C3-C1\" class=\"edgeLabel L-LS-C3&#039; L-LE-C1\">\u6545\u969c\u8f6c\u79fb<\/span> <\/p>\n<p>         <span id=\"L-L-C3-C2\" class=\"edgeLabel L-LS-C3&#039; L-LE-C2\">\u6545\u969c\u8f6c\u79fb<\/span> <\/p>\n<p>           \u5ba2\u6237\u7aef\u8bf7\u6c42 <\/p>\n<p>           \u8d1f\u8f7d\u5747\u8861\u5668 <\/p>\n<p>           Tomcat \u670d\u52a1\u5668 1 <\/p>\n<p>           Tomcat \u670d\u52a1\u5668 2 <\/p>\n<p>           Tomcat \u670d\u52a1\u5668 3 <\/p>\n<h3>3. \u6838\u5fc3\u7b97\u6cd5\u539f\u7406 &amp; \u5177\u4f53\u64cd\u4f5c\u6b65\u9aa4<\/h3>\n<h4>\u8d1f\u8f7d\u5747\u8861\u7b97\u6cd5\u539f\u7406<\/h4>\n<p>\u5e38\u89c1\u7684\u8d1f\u8f7d\u5747\u8861\u7b97\u6cd5\u6709\u8f6e\u8be2\u3001\u52a0\u6743\u8f6e\u8be2\u3001IP \u54c8\u5e0c\u7b49\u3002\u4e0b\u9762\u4ee5\u8f6e\u8be2\u7b97\u6cd5\u4e3a\u4f8b&#xff0c;\u4ecb\u7ecd\u5176\u539f\u7406\u548c Python \u5b9e\u73b0\u3002<\/p>\n<h5>\u8f6e\u8be2\u7b97\u6cd5\u539f\u7406<\/h5>\n<p>\u8f6e\u8be2\u7b97\u6cd5\u6309\u7167\u670d\u52a1\u5668\u5217\u8868\u7684\u987a\u5e8f\u4f9d\u6b21\u5c06\u8bf7\u6c42\u5206\u914d\u5230\u5404\u4e2a\u670d\u52a1\u5668\u4e0a\u3002\u5f53\u6240\u6709\u670d\u52a1\u5668\u90fd\u5904\u7406\u8fc7\u4e00\u6b21\u8bf7\u6c42\u540e&#xff0c;\u91cd\u65b0\u4ece\u7b2c\u4e00\u4e2a\u670d\u52a1\u5668\u5f00\u59cb\u5206\u914d\u3002<\/p>\n<h5>Python \u4ee3\u7801\u5b9e\u73b0<\/h5>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">RoundRobinLoadBalancer<\/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> servers<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>servers <span class=\"token operator\">&#061;<\/span> servers<br \/>\n        self<span class=\"token punctuation\">.<\/span>index <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">get_server<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        server <span class=\"token operator\">&#061;<\/span> self<span class=\"token punctuation\">.<\/span>servers<span class=\"token punctuation\">[<\/span>self<span class=\"token punctuation\">.<\/span>index<span class=\"token punctuation\">]<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>index <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>index <span class=\"token operator\">&#043;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> <span class=\"token builtin\">len<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>servers<span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> server<\/p>\n<p><span class=\"token comment\"># \u793a\u4f8b\u4f7f\u7528<\/span><br \/>\nservers <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;server1&#039;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;server2&#039;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;server3&#039;<\/span><span class=\"token punctuation\">]<\/span><br \/>\nlb <span class=\"token operator\">&#061;<\/span> RoundRobinLoadBalancer<span class=\"token punctuation\">(<\/span>servers<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> i <span class=\"token keyword\">in<\/span> <span class=\"token builtin\">range<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u8bf7\u6c42 <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>i<span class=\"token operator\">&#043;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> \u5206\u914d\u5230\u670d\u52a1\u5668: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>lb<span class=\"token punctuation\">.<\/span>get_server<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h4>\u6545\u969c\u68c0\u6d4b\u7b97\u6cd5\u539f\u7406<\/h4>\n<p>\u6545\u969c\u68c0\u6d4b\u901a\u5e38\u91c7\u7528\u5fc3\u8df3\u68c0\u6d4b\u7684\u65b9\u5f0f\u3002\u670d\u52a1\u5668\u5b9a\u671f\u5411\u76d1\u63a7\u7cfb\u7edf\u53d1\u9001\u5fc3\u8df3\u4fe1\u53f7&#xff0c;\u76d1\u63a7\u7cfb\u7edf\u6839\u636e\u5fc3\u8df3\u4fe1\u53f7\u7684\u54cd\u5e94\u60c5\u51b5\u5224\u65ad\u670d\u52a1\u5668\u662f\u5426\u6b63\u5e38\u8fd0\u884c\u3002<\/p>\n<h5>Python \u4ee3\u7801\u5b9e\u73b0<\/h5>\n<p><span class=\"token keyword\">import<\/span> time<\/p>\n<p><span class=\"token keyword\">class<\/span> <span class=\"token class-name\">HeartbeatMonitor<\/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> servers<span class=\"token punctuation\">,<\/span> interval<span class=\"token operator\">&#061;<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        self<span class=\"token punctuation\">.<\/span>servers <span class=\"token operator\">&#061;<\/span> servers<br \/>\n        self<span class=\"token punctuation\">.<\/span>interval <span class=\"token operator\">&#061;<\/span> interval<br \/>\n        self<span class=\"token punctuation\">.<\/span>server_status <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span>server<span class=\"token punctuation\">:<\/span> <span class=\"token boolean\">True<\/span> <span class=\"token keyword\">for<\/span> server <span class=\"token keyword\">in<\/span> servers<span class=\"token punctuation\">}<\/span><\/p>\n<p>    <span class=\"token keyword\">def<\/span> <span class=\"token function\">monitor<\/span><span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">while<\/span> <span class=\"token boolean\">True<\/span><span class=\"token punctuation\">:<\/span><br \/>\n            <span class=\"token keyword\">for<\/span> server <span class=\"token keyword\">in<\/span> self<span class=\"token punctuation\">.<\/span>servers<span class=\"token punctuation\">:<\/span><br \/>\n                <span class=\"token comment\"># \u6a21\u62df\u53d1\u9001\u5fc3\u8df3\u4fe1\u53f7<\/span><br \/>\n                <span class=\"token keyword\">try<\/span><span class=\"token punctuation\">:<\/span><br \/>\n                    <span class=\"token comment\"># \u8fd9\u91cc\u53ef\u4ee5\u66ff\u6362\u4e3a\u5b9e\u9645\u7684\u5fc3\u8df3\u68c0\u6d4b\u903b\u8f91<\/span><br \/>\n                    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u5411\u670d\u52a1\u5668 <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>server<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> \u53d1\u9001\u5fc3\u8df3\u4fe1\u53f7&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    time<span class=\"token punctuation\">.<\/span>sleep<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><br \/>\n                    <span class=\"token comment\"># \u5047\u8bbe\u670d\u52a1\u5668\u6b63\u5e38\u54cd\u5e94<\/span><br \/>\n                    self<span class=\"token punctuation\">.<\/span>server_status<span class=\"token punctuation\">[<\/span>server<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">True<\/span><br \/>\n                <span class=\"token keyword\">except<\/span> Exception <span class=\"token keyword\">as<\/span> e<span class=\"token punctuation\">:<\/span><br \/>\n                    self<span class=\"token punctuation\">.<\/span>server_status<span class=\"token punctuation\">[<\/span>server<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token boolean\">False<\/span><br \/>\n                    <span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string-interpolation\"><span class=\"token string\">f&#034;\u670d\u52a1\u5668 <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>server<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\"> \u51fa\u73b0\u6545\u969c: <\/span><span class=\"token interpolation\"><span class=\"token punctuation\">{<\/span>e<span class=\"token punctuation\">}<\/span><\/span><span class=\"token string\">&#034;<\/span><\/span><span class=\"token punctuation\">)<\/span><br \/>\n            time<span class=\"token punctuation\">.<\/span>sleep<span class=\"token punctuation\">(<\/span>self<span class=\"token punctuation\">.<\/span>interval<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u793a\u4f8b\u4f7f\u7528<\/span><br \/>\nservers <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token string\">&#039;server1&#039;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;server2&#039;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#039;server3&#039;<\/span><span class=\"token punctuation\">]<\/span><br \/>\nmonitor <span class=\"token operator\">&#061;<\/span> HeartbeatMonitor<span class=\"token punctuation\">(<\/span>servers<span class=\"token punctuation\">)<\/span><br \/>\nmonitor<span class=\"token punctuation\">.<\/span>monitor<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h4>\u5177\u4f53\u64cd\u4f5c\u6b65\u9aa4<\/h4>\n<li>\u642d\u5efa Tomcat \u96c6\u7fa4&#xff1a;\u5728\u591a\u4e2a\u670d\u52a1\u5668\u4e0a\u5b89\u88c5\u5e76\u914d\u7f6e Tomcat \u670d\u52a1\u5668&#xff0c;\u786e\u4fdd\u5b83\u4eec\u53ef\u4ee5\u76f8\u4e92\u901a\u4fe1\u3002<\/li>\n<li>\u914d\u7f6e\u8d1f\u8f7d\u5747\u8861\u5668&#xff1a;\u9009\u62e9\u5408\u9002\u7684\u8d1f\u8f7d\u5747\u8861\u5668&#xff08;\u5982 Nginx\u3001HAProxy \u7b49&#xff09;&#xff0c;\u5e76\u6839\u636e\u9700\u6c42\u914d\u7f6e\u8d1f\u8f7d\u5747\u8861\u7b97\u6cd5\u3002<\/li>\n<li>\u5b9e\u73b0\u6545\u969c\u68c0\u6d4b\u548c\u8f6c\u79fb\u673a\u5236&#xff1a;\u4f7f\u7528\u5fc3\u8df3\u68c0\u6d4b\u7b49\u65b9\u6cd5\u5b9e\u65f6\u76d1\u63a7\u670d\u52a1\u5668\u7684\u8fd0\u884c\u72b6\u6001&#xff0c;\u5f53\u67d0\u4e2a\u670d\u52a1\u5668\u51fa\u73b0\u6545\u969c\u65f6&#xff0c;\u81ea\u52a8\u5c06\u8bf7\u6c42\u8f6c\u53d1\u5230\u5176\u4ed6\u6b63\u5e38\u8fd0\u884c\u7684\u670d\u52a1\u5668\u4e0a\u3002<\/li>\n<li>\u914d\u7f6e\u4f1a\u8bdd\u7ba1\u7406&#xff1a;\u6839\u636e\u5e94\u7528\u7684\u9700\u6c42\u9009\u62e9\u5408\u9002\u7684\u4f1a\u8bdd\u7ba1\u7406\u65b9\u5f0f&#xff0c;\u5982\u4f1a\u8bdd\u590d\u5236\u3001\u4f1a\u8bdd\u7c98\u6027\u6216\u4f1a\u8bdd\u5171\u4eab\u3002<\/li>\n<h3>4. \u6570\u5b66\u6a21\u578b\u548c\u516c\u5f0f &amp; \u8be6\u7ec6\u8bb2\u89e3 &amp; \u4e3e\u4f8b\u8bf4\u660e<\/h3>\n<h4>\u8d1f\u8f7d\u5747\u8861\u7b97\u6cd5\u7684\u6570\u5b66\u6a21\u578b<\/h4>\n<h5>\u8f6e\u8be2\u7b97\u6cd5<\/h5>\n<p>\u8bbe\u670d\u52a1\u5668\u5217\u8868\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         S <\/p>\n<p>         &#061; <\/p>\n<p>         { <\/p>\n<p>          s <\/p>\n<p>          1 <\/p>\n<p>         , <\/p>\n<p>          s <\/p>\n<p>          2 <\/p>\n<p>         , <\/p>\n<p>         \u22ef<br \/>\n       \u2009 <\/p>\n<p>         , <\/p>\n<p>          s <\/p>\n<p>          n <\/p>\n<p>         } <\/p>\n<p>        S &#061; \\\\{s_1, s_2, \\\\cdots, s_n\\\\} <\/p>\n<p>    <\/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: 1em;vertical-align: -0.25em\"><\/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\">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\"><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\">2<\/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=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/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\">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>&#xff0c;\u8bf7\u6c42\u5e8f\u53f7\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         k <\/p>\n<p>        k <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span>\u3002\u5219\u7b2c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         k <\/p>\n<p>        k <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span> \u4e2a\u8bf7\u6c42\u5206\u914d\u5230\u7684\u670d\u52a1\u5668 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         s <\/p>\n<p>        s <\/p>\n<p>    <\/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> \u53ef\u4ee5\u8868\u793a\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          s <\/p>\n<p>          &#061; <\/p>\n<p>           s <\/p>\n<p>            ( <\/p>\n<p>            k<br \/>\n          \u200a <\/p>\n<p>              m <\/p>\n<p>              o <\/p>\n<p>              d <\/p>\n<p>          \u200a <\/p>\n<p>            n <\/p>\n<p>            ) <\/p>\n<p>            &#043; <\/p>\n<p>            1 <\/p>\n<p>         s &#061; s_{(k \\\\bmod n) &#043; 1} <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">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: 0.7858em;vertical-align: -0.3552em\"><\/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: 0.3448em\"><span class=\"\" style=\"top: -2.5198em;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=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mspace mtight\" style=\"margin-right: 0.3253em\"><\/span><span class=\"mbin mtight\"><span class=\"mord mtight\"><span class=\"mord mathrm mtight\">mod<\/span><\/span><\/span><span class=\"mspace mtight\" style=\"margin-right: 0.3253em\"><\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">)<\/span><span class=\"mbin mtight\">&#043;<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3552em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5176\u4e2d&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         n <\/p>\n<p>        n <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u4e3a\u670d\u52a1\u5668\u7684\u6570\u91cf\u3002<\/p>\n<p>\u4f8b\u5982&#xff0c;\u6709 3 \u4e2a\u670d\u52a1\u5668 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         S <\/p>\n<p>         &#061; <\/p>\n<p>         { <\/p>\n<p>          s <\/p>\n<p>          1 <\/p>\n<p>         , <\/p>\n<p>          s <\/p>\n<p>          2 <\/p>\n<p>         , <\/p>\n<p>          s <\/p>\n<p>          3 <\/p>\n<p>         } <\/p>\n<p>        S &#061; \\\\{s_1, s_2, s_3\\\\} <\/p>\n<p>    <\/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: 1em;vertical-align: -0.25em\"><\/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\">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\"><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\">2<\/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\">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\">3<\/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>&#xff0c;\u5f53 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         k <\/p>\n<p>         &#061; <\/p>\n<p>         5 <\/p>\n<p>        k &#061; 5 <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/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\">5<\/span><\/span><\/span><\/span><\/span> \u65f6&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         5<br \/>\n       \u200a <\/p>\n<p>           m <\/p>\n<p>           o <\/p>\n<p>           d <\/p>\n<p>       \u200a <\/p>\n<p>         3 <\/p>\n<p>         &#061; <\/p>\n<p>         2 <\/p>\n<p>        5 \\\\bmod 3 &#061; 2 <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord\">5<\/span><span class=\"mspace\" style=\"margin-right: 0.0556em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\"><span class=\"mord\"><span class=\"mord mathrm\">mod<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.0556em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">3<\/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\">2<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5219\u7b2c 5 \u4e2a\u8bf7\u6c42\u5206\u914d\u5230\u7684\u670d\u52a1\u5668\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          s <\/p>\n<p>          2 <\/p>\n<p>        s_2 <\/p>\n<p>    <\/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\">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\">2<\/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<h5>\u52a0\u6743\u8f6e\u8be2\u7b97\u6cd5<\/h5>\n<p>\u8bbe\u670d\u52a1\u5668\u5217\u8868\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         S <\/p>\n<p>         &#061; <\/p>\n<p>         { <\/p>\n<p>          s <\/p>\n<p>          1 <\/p>\n<p>         , <\/p>\n<p>          s <\/p>\n<p>          2 <\/p>\n<p>         , <\/p>\n<p>         \u22ef<br \/>\n       \u2009 <\/p>\n<p>         , <\/p>\n<p>          s <\/p>\n<p>          n <\/p>\n<p>        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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\"><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\">2<\/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=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/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\">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>&#xff0c;\u6bcf\u4e2a\u670d\u52a1\u5668\u7684\u6743\u91cd\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         w <\/p>\n<p>         &#061; <\/p>\n<p>         { <\/p>\n<p>          w <\/p>\n<p>          1 <\/p>\n<p>         , <\/p>\n<p>          w <\/p>\n<p>          2 <\/p>\n<p>         , <\/p>\n<p>         \u22ef<br \/>\n       \u2009 <\/p>\n<p>         , <\/p>\n<p>          w <\/p>\n<p>          n <\/p>\n<p>         } <\/p>\n<p>        w &#061; \\\\{w_1, w_2, \\\\cdots, w_n\\\\} <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/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: 0.0269em\">w<\/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: -0.0269em;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\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/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: -0.0269em;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 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=\"minner\">\u22ef<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/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: -0.0269em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">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>&#xff0c;\u603b\u6743\u91cd\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         W <\/p>\n<p>         &#061; <\/p>\n<p>          \u2211 <\/p>\n<p>           i <\/p>\n<p>           &#061; <\/p>\n<p>           1 <\/p>\n<p>          n <\/p>\n<p>          w <\/p>\n<p>          i <\/p>\n<p>        W &#061; \\\\sum_{i &#061; 1}^{n} w_i <\/p>\n<p>    <\/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\">W<\/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: 1.104em;vertical-align: -0.2997em\"><\/span><span class=\"mop\"><span class=\"mop op-symbol small-op\" style=\"position: relative;top: 0em\">\u2211<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8043em\"><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\">i<\/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\">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: 0.0269em\">w<\/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: -0.0269em;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>\u3002\u8bf7\u6c42\u5e8f\u53f7\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         k <\/p>\n<p>        k <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u9996\u5148&#xff0c;\u8ba1\u7b97 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         k<br \/>\n       \u200a <\/p>\n<p>           m <\/p>\n<p>           o <\/p>\n<p>           d <\/p>\n<p>       \u200a <\/p>\n<p>         W <\/p>\n<p>        k \\\\bmod W <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mspace\" style=\"margin-right: 0.0556em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\"><span class=\"mord\"><span class=\"mord mathrm\">mod<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.0556em\"><\/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\">W<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5f97\u5230\u4e00\u4e2a\u4f59\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         r <\/p>\n<p>        r <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><\/span>\u3002\u7136\u540e&#xff0c;\u4f9d\u6b21\u904d\u5386\u670d\u52a1\u5668\u5217\u8868&#xff0c;\u7d2f\u52a0\u6bcf\u4e2a\u670d\u52a1\u5668\u7684\u6743\u91cd&#xff0c;\u76f4\u5230\u7d2f\u52a0\u548c\u5927\u4e8e\u7b49\u4e8e <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         r <\/p>\n<p>        r <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">r<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6b64\u65f6\u5bf9\u5e94\u7684\u670d\u52a1\u5668\u5373\u4e3a\u5206\u914d\u7684\u670d\u52a1\u5668\u3002<\/p>\n<h4>\u6545\u969c\u68c0\u6d4b\u7684\u6570\u5b66\u6a21\u578b<\/h4>\n<p>\u8bbe\u670d\u52a1\u5668\u7684\u6b63\u5e38\u8fd0\u884c\u65f6\u95f4\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          T <\/p>\n<p>           u <\/p>\n<p>           p <\/p>\n<p>        T_{up} <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/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: -0.1389em;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\">u<\/span><span class=\"mord mathnormal mtight\">p<\/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><\/span><\/span><\/span>&#xff0c;\u6545\u969c\u65f6\u95f4\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          T <\/p>\n<p>           d <\/p>\n<p>           o <\/p>\n<p>           w <\/p>\n<p>           n <\/p>\n<p>        T_{down} <\/p>\n<p>    <\/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: 0.1389em\">T<\/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: -0.1389em;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\">o<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0269em\">w<\/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>&#xff0c;\u5219\u670d\u52a1\u5668\u7684\u53ef\u7528\u6027 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         A <\/p>\n<p>        A <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span> \u53ef\u4ee5\u8868\u793a\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          A <\/p>\n<p>          &#061; <\/p>\n<p>            T <\/p>\n<p>             u <\/p>\n<p>             p <\/p>\n<p>             T <\/p>\n<p>              u <\/p>\n<p>              p <\/p>\n<p>            &#043; <\/p>\n<p>             T <\/p>\n<p>              d <\/p>\n<p>              o <\/p>\n<p>              w <\/p>\n<p>              n <\/p>\n<p>         A &#061; \\\\frac{T_{up}}{T_{up} &#043; T_{down}} <\/p>\n<p>     <\/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: 2.3324em;vertical-align: -0.9721em\"><\/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: 1.3603em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/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: -0.1389em;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\">u<\/span><span class=\"mord mathnormal mtight\">p<\/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 class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/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: -0.1389em;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\">o<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0269em\">w<\/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 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\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/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: -0.1389em;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\">u<\/span><span class=\"mord mathnormal mtight\">p<\/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><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9721em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u4f8b\u5982&#xff0c;\u67d0\u670d\u52a1\u5668\u5728\u4e00\u4e2a\u6708&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         T <\/p>\n<p>         &#061; <\/p>\n<p>         30 <\/p>\n<p>         \u00d7 <\/p>\n<p>         24 <\/p>\n<p>         &#061; <\/p>\n<p>         720 <\/p>\n<p>        T &#061; 30 \\\\times 24 &#061; 720 <\/p>\n<p>    <\/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\">T<\/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: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">30<\/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: 0.6444em\"><\/span><span class=\"mord\">24<\/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\">720<\/span><\/span><\/span><\/span><\/span> \u5c0f\u65f6&#xff09;\u5185&#xff0c;\u6b63\u5e38\u8fd0\u884c\u65f6\u95f4\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          T <\/p>\n<p>           u <\/p>\n<p>           p <\/p>\n<p>         &#061; <\/p>\n<p>         710 <\/p>\n<p>        T_{up} &#061; 710 <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/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: -0.1389em;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\">u<\/span><span class=\"mord mathnormal mtight\">p<\/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: 0.2778em\"><\/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\">710<\/span><\/span><\/span><\/span><\/span> \u5c0f\u65f6&#xff0c;\u6545\u969c\u65f6\u95f4\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          T <\/p>\n<p>           d <\/p>\n<p>           o <\/p>\n<p>           w <\/p>\n<p>           n <\/p>\n<p>         &#061; <\/p>\n<p>         10 <\/p>\n<p>        T_{down} &#061; 10 <\/p>\n<p>    <\/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: 0.1389em\">T<\/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: -0.1389em;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\">o<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0269em\">w<\/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: 0.2778em\"><\/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\">10<\/span><\/span><\/span><\/span><\/span> \u5c0f\u65f6&#xff0c;\u5219\u8be5\u670d\u52a1\u5668\u7684\u53ef\u7528\u6027\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          A <\/p>\n<p>          &#061; <\/p>\n<p>           710 <\/p>\n<p>            710 <\/p>\n<p>            &#043; <\/p>\n<p>            10 <\/p>\n<p>          \u2248 <\/p>\n<p>          0.986 <\/p>\n<p>         A &#061; \\\\frac{710}{710 &#043; 10} \\\\approx 0.986 <\/p>\n<p>     <\/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: 2.0908em;vertical-align: -0.7693em\"><\/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: 1.3214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">710<\/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 class=\"mord\">10<\/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\">710<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7693em\"><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\">\u2248<\/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\">0.986<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h4>\u4f1a\u8bdd\u7ba1\u7406\u7684\u6570\u5b66\u6a21\u578b<\/h4>\n<p>\u5728\u4f1a\u8bdd\u590d\u5236\u7684\u60c5\u51b5\u4e0b&#xff0c;\u8bbe\u4f1a\u8bdd\u7684\u5927\u5c0f\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         S <\/p>\n<p>        S <\/p>\n<p>    <\/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><\/span><\/span><\/span>&#xff0c;\u96c6\u7fa4\u4e2d\u670d\u52a1\u5668\u7684\u6570\u91cf\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         n <\/p>\n<p>        n <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5219\u4f1a\u8bdd\u590d\u5236\u6240\u9700\u7684\u603b\u5e26\u5bbd <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>         B <\/p>\n<p>        B <\/p>\n<p>    <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/span><\/span><\/span><\/span><\/span> \u53ef\u4ee5\u8868\u793a\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          B <\/p>\n<p>          &#061; <\/p>\n<p>          S <\/p>\n<p>          \u00d7 <\/p>\n<p>          ( <\/p>\n<p>          n <\/p>\n<p>          \u2212 <\/p>\n<p>          1 <\/p>\n<p>          ) <\/p>\n<p>         B &#061; S \\\\times (n &#8211; 1) <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/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: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/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: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">n<\/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\">1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u4f8b\u5982&#xff0c;\u4f1a\u8bdd\u5927\u5c0f\u4e3a 1MB&#xff0c;\u96c6\u7fa4\u4e2d\u6709 5 \u4e2a\u670d\u52a1\u5668&#xff0c;\u5219\u4f1a\u8bdd\u590d\u5236\u6240\u9700\u7684\u603b\u5e26\u5bbd\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\"> <\/p>\n<p>          B <\/p>\n<p>          &#061; <\/p>\n<p>          1 <\/p>\n<p>          \u00d7 <\/p>\n<p>          ( <\/p>\n<p>          5 <\/p>\n<p>          \u2212 <\/p>\n<p>          1 <\/p>\n<p>          ) <\/p>\n<p>          &#061; <\/p>\n<p>          4 <\/p>\n<p>          M <\/p>\n<p>          B <\/p>\n<p>         B &#061; 1 \\\\times (5 &#8211; 1) &#061; 4MB <\/p>\n<p>     <\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">B<\/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: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">1<\/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: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\">5<\/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\">1<\/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: 0.6833em\"><\/span><span class=\"mord\">4<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0502em\">MB<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h3>5. \u9879\u76ee\u5b9e\u6218&#xff1a;\u4ee3\u7801\u5b9e\u9645\u6848\u4f8b\u548c\u8be6\u7ec6\u89e3\u91ca\u8bf4\u660e<\/h3>\n<h4>5.1 \u5f00\u53d1\u73af\u5883\u642d\u5efa<\/h4>\n<h5>\u5b89\u88c5 Tomcat \u670d\u52a1\u5668<\/h5>\n<li>\u4e0b\u8f7d Tomcat \u670d\u52a1\u5668\u7684\u4e8c\u8fdb\u5236\u5305&#xff0c;\u89e3\u538b\u5230\u6307\u5b9a\u76ee\u5f55\u3002<\/li>\n<li>\u914d\u7f6e Tomcat \u7684\u73af\u5883\u53d8\u91cf&#xff0c;\u5982 CATALINA_HOME \u548c PATH\u3002<\/li>\n<li>\u542f\u52a8 Tomcat \u670d\u52a1\u5668&#xff0c;\u8bbf\u95ee http:\/\/localhost:8080 \u9a8c\u8bc1\u662f\u5426\u5b89\u88c5\u6210\u529f\u3002<\/li>\n<h5>\u5b89\u88c5 Nginx \u8d1f\u8f7d\u5747\u8861\u5668<\/h5>\n<li>\u5728\u670d\u52a1\u5668\u4e0a\u5b89\u88c5 Nginx&#xff0c;\u53ef\u4ee5\u4f7f\u7528\u5305\u7ba1\u7406\u5de5\u5177&#xff08;\u5982 apt \u6216 yum&#xff09;\u8fdb\u884c\u5b89\u88c5\u3002<\/li>\n<li>\u914d\u7f6e Nginx \u7684\u8d1f\u8f7d\u5747\u8861\u89c4\u5219&#xff0c;\u7f16\u8f91 nginx.conf \u6587\u4ef6&#xff0c;\u6dfb\u52a0\u4ee5\u4e0b\u5185\u5bb9&#xff1a;<\/li>\n<p>http {<br \/>\n    upstream tomcat_cluster {<br \/>\n        server 192.168.1.101:8080;<br \/>\n        server 192.168.1.102:8080;<br \/>\n    }<\/p>\n<p>    server {<br \/>\n        listen 80;<br \/>\n        server_name example.com;<\/p>\n<p>        location \/ {<br \/>\n            proxy_pass http:\/\/tomcat_cluster;<br \/>\n        }<br \/>\n    }<br \/>\n}<\/p>\n<h4>5.2 \u6e90\u4ee3\u7801\u8be6\u7ec6\u5b9e\u73b0\u548c\u4ee3\u7801\u89e3\u8bfb<\/h4>\n<h5>Tomcat \u5e94\u7528\u4ee3\u7801\u793a\u4f8b<\/h5>\n<p>\u4ee5\u4e0b\u662f\u4e00\u4e2a\u7b80\u5355\u7684 Java Servlet \u793a\u4f8b&#xff1a;<\/p>\n<p><span class=\"token keyword\">import<\/span> <span class=\"token namespace\">javax<span class=\"token punctuation\">.<\/span>servlet<span class=\"token punctuation\">.<\/span><\/span><span class=\"token class-name\">ServletException<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">import<\/span> <span class=\"token namespace\">javax<span class=\"token punctuation\">.<\/span>servlet<span class=\"token punctuation\">.<\/span>annotation<span class=\"token punctuation\">.<\/span><\/span><span class=\"token class-name\">WebServlet<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">import<\/span> <span class=\"token namespace\">javax<span class=\"token punctuation\">.<\/span>servlet<span class=\"token punctuation\">.<\/span>http<span class=\"token punctuation\">.<\/span><\/span><span class=\"token class-name\">HttpServlet<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">import<\/span> <span class=\"token namespace\">javax<span class=\"token punctuation\">.<\/span>servlet<span class=\"token punctuation\">.<\/span>http<span class=\"token punctuation\">.<\/span><\/span><span class=\"token class-name\">HttpServletRequest<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">import<\/span> <span class=\"token namespace\">javax<span class=\"token punctuation\">.<\/span>servlet<span class=\"token punctuation\">.<\/span>http<span class=\"token punctuation\">.<\/span><\/span><span class=\"token class-name\">HttpServletResponse<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">import<\/span> <span class=\"token namespace\">java<span class=\"token punctuation\">.<\/span>io<span class=\"token punctuation\">.<\/span><\/span><span class=\"token class-name\">IOException<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">import<\/span> <span class=\"token namespace\">java<span class=\"token punctuation\">.<\/span>io<span class=\"token punctuation\">.<\/span><\/span><span class=\"token class-name\">PrintWriter<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token annotation punctuation\">&#064;WebServlet<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\/hello&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">public<\/span> <span class=\"token keyword\">class<\/span> <span class=\"token class-name\">HelloServlet<\/span> <span class=\"token keyword\">extends<\/span> <span class=\"token class-name\">HttpServlet<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">protected<\/span> <span class=\"token keyword\">void<\/span> <span class=\"token function\">doGet<\/span><span class=\"token punctuation\">(<\/span><span class=\"token class-name\">HttpServletRequest<\/span> request<span class=\"token punctuation\">,<\/span> <span class=\"token class-name\">HttpServletResponse<\/span> response<span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">throws<\/span> <span class=\"token class-name\">ServletException<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token class-name\">IOException<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        response<span class=\"token punctuation\">.<\/span><span class=\"token function\">setContentType<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;text\/html&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token class-name\">PrintWriter<\/span> out <span class=\"token operator\">&#061;<\/span> response<span class=\"token punctuation\">.<\/span><span class=\"token function\">getWriter<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;&lt;html&gt;&lt;body&gt;&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;&lt;h1&gt;Hello, World!&lt;\/h1&gt;&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        out<span class=\"token punctuation\">.<\/span><span class=\"token function\">println<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;&lt;\/body&gt;&lt;\/html&gt;&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h5>\u4ee3\u7801\u89e3\u8bfb<\/h5>\n<ul>\n<li>&#064;WebServlet(&#034;\/hello&#034;)&#xff1a;\u6ce8\u89e3\u8868\u793a\u8be5 Servlet \u6620\u5c04\u5230 \/hello \u8def\u5f84\u3002<\/li>\n<li>doGet \u65b9\u6cd5&#xff1a;\u5904\u7406\u5ba2\u6237\u7aef\u7684 GET \u8bf7\u6c42&#xff0c;\u5411\u5ba2\u6237\u7aef\u8fd4\u56de\u4e00\u4e2a\u7b80\u5355\u7684 HTML \u9875\u9762\u3002<\/li>\n<\/ul>\n<h4>5.3 \u4ee3\u7801\u89e3\u8bfb\u4e0e\u5206\u6790<\/h4>\n<h5>Tomcat \u5e94\u7528\u4ee3\u7801\u5206\u6790<\/h5>\n<p>\u4e0a\u8ff0 Java Servlet \u4ee3\u7801\u5b9e\u73b0\u4e86\u4e00\u4e2a\u7b80\u5355\u7684 Web \u5e94\u7528&#xff0c;\u5f53\u5ba2\u6237\u7aef\u8bbf\u95ee \/hello \u8def\u5f84\u65f6&#xff0c;\u670d\u52a1\u5668\u4f1a\u8fd4\u56de\u4e00\u4e2a\u5305\u542b \u201cHello, World!\u201d \u4fe1\u606f\u7684 HTML \u9875\u9762\u3002<\/p>\n<h5>Nginx \u914d\u7f6e\u5206\u6790<\/h5>\n<p>Nginx \u7684\u914d\u7f6e\u6587\u4ef6\u4e2d&#xff0c;upstream \u5757\u5b9a\u4e49\u4e86\u4e00\u4e2a\u540d\u4e3a tomcat_cluster \u7684\u96c6\u7fa4&#xff0c;\u5305\u542b\u4e24\u4e2a Tomcat \u670d\u52a1\u5668\u7684\u5730\u5740\u3002server \u5757\u76d1\u542c 80 \u7aef\u53e3&#xff0c;\u5f53\u5ba2\u6237\u7aef\u8bf7\u6c42\u5230\u8fbe\u65f6&#xff0c;\u5c06\u8bf7\u6c42\u8f6c\u53d1\u5230 tomcat_cluster \u96c6\u7fa4\u4e2d\u7684\u670d\u52a1\u5668\u4e0a\u3002<\/p>\n<h3>6. \u5b9e\u9645\u5e94\u7528\u573a\u666f<\/h3>\n<h4>\u7535\u5b50\u5546\u52a1\u7f51\u7ad9<\/h4>\n<p>\u7535\u5b50\u5546\u52a1\u7f51\u7ad9\u901a\u5e38\u9700\u8981\u5904\u7406\u5927\u91cf\u7684\u7528\u6237\u8bf7\u6c42&#xff0c;\u5bf9\u7cfb\u7edf\u7684\u53ef\u7528\u6027\u548c\u6027\u80fd\u8981\u6c42\u8f83\u9ad8\u3002\u4f7f\u7528 Tomcat \u9ad8\u53ef\u7528\u67b6\u6784\u53ef\u4ee5\u786e\u4fdd\u7f51\u7ad9\u5728\u9ad8\u5e76\u53d1\u60c5\u51b5\u4e0b\u4ecd\u7136\u80fd\u591f\u7a33\u5b9a\u8fd0\u884c&#xff0c;\u907f\u514d\u56e0\u670d\u52a1\u5668\u6545\u969c\u5bfc\u81f4\u7528\u6237\u65e0\u6cd5\u8bbf\u95ee\u7f51\u7ad9\u3002<\/p>\n<h4>\u4f01\u4e1a\u7ea7\u5e94\u7528\u7cfb\u7edf<\/h4>\n<p>\u4f01\u4e1a\u7ea7\u5e94\u7528\u7cfb\u7edf\u5982 ERP\u3001CRM \u7b49&#xff0c;\u901a\u5e38\u9700\u8981 7\u00d724 \u5c0f\u65f6\u4e0d\u95f4\u65ad\u8fd0\u884c\u3002Tomcat \u9ad8\u53ef\u7528\u67b6\u6784\u53ef\u4ee5\u63d0\u4f9b\u53ef\u9760\u7684\u670d\u52a1\u4fdd\u969c&#xff0c;\u786e\u4fdd\u4f01\u4e1a\u4e1a\u52a1\u7684\u6b63\u5e38\u5f00\u5c55\u3002<\/p>\n<h4>\u5728\u7ebf\u6e38\u620f\u5e73\u53f0<\/h4>\n<p>\u5728\u7ebf\u6e38\u620f\u5e73\u53f0\u9700\u8981\u5b9e\u65f6\u5904\u7406\u5927\u91cf\u7684\u7528\u6237\u4ea4\u4e92&#xff0c;\u5bf9\u7cfb\u7edf\u7684\u54cd\u5e94\u901f\u5ea6\u548c\u7a33\u5b9a\u6027\u8981\u6c42\u6781\u9ad8\u3002\u901a\u8fc7 Tomcat \u9ad8\u53ef\u7528\u67b6\u6784&#xff0c;\u53ef\u4ee5\u5b9e\u73b0\u8d1f\u8f7d\u5747\u8861\u548c\u6545\u969c\u8f6c\u79fb&#xff0c;\u63d0\u9ad8\u6e38\u620f\u7684\u6d41\u7545\u5ea6\u548c\u7528\u6237\u4f53\u9a8c\u3002<\/p>\n<h3>7. \u5de5\u5177\u548c\u8d44\u6e90\u63a8\u8350<\/h3>\n<h4>7.1 \u5b66\u4e60\u8d44\u6e90\u63a8\u8350<\/h4>\n<h5>7.1.1 \u4e66\u7c4d\u63a8\u8350<\/h5>\n<ul>\n<li>\u300aTomcat \u6743\u5a01\u6307\u5357\u300b&#xff1a;\u8be6\u7ec6\u4ecb\u7ecd\u4e86 Tomcat \u7684\u539f\u7406\u3001\u914d\u7f6e\u548c\u5e94\u7528\u5f00\u53d1&#xff0c;\u662f\u5b66\u4e60 Tomcat \u7684\u7ecf\u5178\u4e66\u7c4d\u3002<\/li>\n<li>\u300a\u6df1\u5165\u7406\u89e3 Nginx&#xff1a;\u6a21\u5757\u5f00\u53d1\u4e0e\u67b6\u6784\u89e3\u6790\u300b&#xff1a;\u5bf9\u4e8e\u4e86\u89e3 Nginx \u7684\u8d1f\u8f7d\u5747\u8861\u548c\u53cd\u5411\u4ee3\u7406\u529f\u80fd\u6709\u5f88\u5927\u5e2e\u52a9\u3002<\/li>\n<li>\u300aJava \u5e76\u53d1\u7f16\u7a0b\u5b9e\u6218\u300b&#xff1a;\u5e2e\u52a9\u5f00\u53d1\u8005\u638c\u63e1 Java \u5e76\u53d1\u7f16\u7a0b\u7684\u6280\u672f&#xff0c;\u63d0\u9ad8 Tomcat \u5e94\u7528\u7684\u6027\u80fd\u3002<\/li>\n<\/ul>\n<h5>7.1.2 \u5728\u7ebf\u8bfe\u7a0b<\/h5>\n<ul>\n<li>Coursera \u4e0a\u7684 \u201cJava Web \u5f00\u53d1\u201d \u8bfe\u7a0b&#xff1a;\u7cfb\u7edf\u5730\u4ecb\u7ecd\u4e86 Java Web \u5f00\u53d1\u7684\u76f8\u5173\u77e5\u8bc6&#xff0c;\u5305\u62ec Tomcat \u7684\u4f7f\u7528\u3002<\/li>\n<li>Udemy \u4e0a\u7684 \u201cNginx \u5b9e\u6218\u6559\u7a0b\u201d&#xff1a;\u901a\u8fc7\u5b9e\u9645\u6848\u4f8b\u8bb2\u89e3 Nginx \u7684\u914d\u7f6e\u548c\u5e94\u7528\u3002<\/li>\n<\/ul>\n<h5>7.1.3 \u6280\u672f\u535a\u5ba2\u548c\u7f51\u7ad9<\/h5>\n<ul>\n<li>\u5f00\u6e90\u4e2d\u56fd&#xff08;https:\/\/www.oschina.net\/&#xff09;&#xff1a;\u63d0\u4f9b\u4e86\u5927\u91cf\u7684\u5f00\u6e90\u6280\u672f\u6587\u7ae0\u548c\u9879\u76ee\u6848\u4f8b&#xff0c;\u5305\u62ec Tomcat \u548c Nginx \u7684\u76f8\u5173\u5185\u5bb9\u3002<\/li>\n<li>InfoQ&#xff08;https:\/\/www.infoq.cn\/&#xff09;&#xff1a;\u5173\u6ce8 IT \u6280\u672f\u7684\u524d\u6cbf\u52a8\u6001&#xff0c;\u6709\u5f88\u591a\u5173\u4e8e\u9ad8\u53ef\u7528\u67b6\u6784\u7684\u6df1\u5ea6\u6587\u7ae0\u3002<\/li>\n<\/ul>\n<h4>7.2 \u5f00\u53d1\u5de5\u5177\u6846\u67b6\u63a8\u8350<\/h4>\n<h5>7.2.1 IDE\u548c\u7f16\u8f91\u5668<\/h5>\n<ul>\n<li>IntelliJ IDEA&#xff1a;\u4e00\u6b3e\u529f\u80fd\u5f3a\u5927\u7684 Java \u96c6\u6210\u5f00\u53d1\u73af\u5883&#xff0c;\u652f\u6301 Tomcat \u7684\u90e8\u7f72\u548c\u8c03\u8bd5\u3002<\/li>\n<li>Eclipse&#xff1a;\u5f00\u6e90\u7684 Java \u5f00\u53d1\u5de5\u5177&#xff0c;\u5e7f\u6cdb\u5e94\u7528\u4e8e Java Web \u5f00\u53d1\u3002<\/li>\n<li>Visual Studio Code&#xff1a;\u8f7b\u91cf\u7ea7\u7684\u4ee3\u7801\u7f16\u8f91\u5668&#xff0c;\u652f\u6301\u591a\u79cd\u7f16\u7a0b\u8bed\u8a00&#xff0c;\u53ef\u7528\u4e8e\u5f00\u53d1\u548c\u8c03\u8bd5 Tomcat \u5e94\u7528\u3002<\/li>\n<\/ul>\n<h5>7.2.2 \u8c03\u8bd5\u548c\u6027\u80fd\u5206\u6790\u5de5\u5177<\/h5>\n<ul>\n<li>VisualVM&#xff1a;\u4e00\u6b3e\u5f00\u6e90\u7684 Java \u6027\u80fd\u5206\u6790\u5de5\u5177&#xff0c;\u53ef\u4ee5\u76d1\u63a7 Tomcat \u670d\u52a1\u5668\u7684\u6027\u80fd\u6307\u6807&#xff0c;\u5982 CPU \u4f7f\u7528\u7387\u3001\u5185\u5b58\u4f7f\u7528\u60c5\u51b5\u7b49\u3002<\/li>\n<li>YourKit Java Profiler&#xff1a;\u5546\u4e1a\u7684 Java \u6027\u80fd\u5206\u6790\u5de5\u5177&#xff0c;\u63d0\u4f9b\u4e86\u66f4\u5f3a\u5927\u7684\u6027\u80fd\u5206\u6790\u529f\u80fd\u3002<\/li>\n<li>Apache JMeter&#xff1a;\u7528\u4e8e\u5bf9 Tomcat \u5e94\u7528\u8fdb\u884c\u538b\u529b\u6d4b\u8bd5&#xff0c;\u8bc4\u4f30\u7cfb\u7edf\u7684\u6027\u80fd\u548c\u5e76\u53d1\u5904\u7406\u80fd\u529b\u3002<\/li>\n<\/ul>\n<h5>7.2.3 \u76f8\u5173\u6846\u67b6\u548c\u5e93<\/h5>\n<ul>\n<li>Spring Boot&#xff1a;\u7b80\u5316\u4e86 Java Web \u5e94\u7528\u7684\u5f00\u53d1\u8fc7\u7a0b&#xff0c;\u96c6\u6210\u4e86 Tomcat \u670d\u52a1\u5668&#xff0c;\u53ef\u5feb\u901f\u642d\u5efa\u9ad8\u53ef\u7528\u7684 Web \u5e94\u7528\u3002<\/li>\n<li>Hibernate&#xff1a;\u4e00\u4e2a\u4f18\u79c0\u7684 Java \u6301\u4e45\u5316\u6846\u67b6&#xff0c;\u53ef\u7528\u4e8e\u5904\u7406\u6570\u636e\u5e93\u64cd\u4f5c&#xff0c;\u63d0\u9ad8 Tomcat \u5e94\u7528\u7684\u6570\u636e\u5e93\u8bbf\u95ee\u6027\u80fd\u3002<\/li>\n<\/ul>\n<h4>7.3 \u76f8\u5173\u8bba\u6587\u8457\u4f5c\u63a8\u8350<\/h4>\n<h5>7.3.1 \u7ecf\u5178\u8bba\u6587<\/h5>\n<ul>\n<li>\u201cHigh Availability Cluster Architecture for Web Servers\u201d&#xff1a;\u4ecb\u7ecd\u4e86 Web \u670d\u52a1\u5668\u9ad8\u53ef\u7528\u96c6\u7fa4\u67b6\u6784\u7684\u8bbe\u8ba1\u539f\u5219\u548c\u65b9\u6cd5\u3002<\/li>\n<li>\u201cLoad Balancing Techniques in Distributed Systems\u201d&#xff1a;\u6df1\u5165\u63a2\u8ba8\u4e86\u5206\u5e03\u5f0f\u7cfb\u7edf\u4e2d\u7684\u8d1f\u8f7d\u5747\u8861\u6280\u672f\u3002<\/li>\n<\/ul>\n<h5>7.3.2 \u6700\u65b0\u7814\u7a76\u6210\u679c<\/h5>\n<ul>\n<li>\u5173\u6ce8\u5404\u5927\u5b66\u672f\u4f1a\u8bae&#xff08;\u5982 ACM SIGCOMM\u3001IEEE INFOCOM \u7b49&#xff09;\u4e0a\u5173\u4e8e\u9ad8\u53ef\u7528\u67b6\u6784\u548c\u8d1f\u8f7d\u5747\u8861\u7684\u7814\u7a76\u8bba\u6587&#xff0c;\u4e86\u89e3\u6700\u65b0\u7684\u7814\u7a76\u6210\u679c\u3002<\/li>\n<\/ul>\n<h5>7.3.3 \u5e94\u7528\u6848\u4f8b\u5206\u6790<\/h5>\n<ul>\n<li>\u4e00\u4e9b\u77e5\u540d\u4f01\u4e1a&#xff08;\u5982 Amazon\u3001Google \u7b49&#xff09;\u4f1a\u516c\u5f00\u5176\u9ad8\u53ef\u7528\u67b6\u6784\u7684\u8bbe\u8ba1\u548c\u5b9e\u8df5\u7ecf\u9a8c&#xff0c;\u53ef\u4ee5\u53c2\u8003\u8fd9\u4e9b\u6848\u4f8b\u6765\u4f18\u5316\u81ea\u5df1\u7684 Tomcat \u9ad8\u53ef\u7528\u67b6\u6784\u3002<\/li>\n<\/ul>\n<h3>8. \u603b\u7ed3&#xff1a;\u672a\u6765\u53d1\u5c55\u8d8b\u52bf\u4e0e\u6311\u6218<\/h3>\n<h4>\u672a\u6765\u53d1\u5c55\u8d8b\u52bf<\/h4>\n<ul>\n<li>\u5bb9\u5668\u5316\u548c\u5fae\u670d\u52a1\u67b6\u6784&#xff1a;\u968f\u7740\u5bb9\u5668\u6280\u672f&#xff08;\u5982 Docker&#xff09;\u548c\u5fae\u670d\u52a1\u67b6\u6784\u7684\u53d1\u5c55&#xff0c;Tomcat \u670d\u52a1\u5668\u7684\u90e8\u7f72\u5c06\u66f4\u52a0\u7075\u6d3b\u548c\u9ad8\u6548\u3002\u53ef\u4ee5\u5c06 Tomcat \u5e94\u7528\u6253\u5305\u6210\u5bb9\u5668&#xff0c;\u901a\u8fc7 Kubernetes \u7b49\u5bb9\u5668\u7f16\u6392\u5de5\u5177\u8fdb\u884c\u7ba1\u7406&#xff0c;\u5b9e\u73b0\u81ea\u52a8\u5316\u7684\u90e8\u7f72\u548c\u4f38\u7f29\u3002<\/li>\n<li>\u4eba\u5de5\u667a\u80fd\u548c\u673a\u5668\u5b66\u4e60\u7684\u5e94\u7528&#xff1a;\u5229\u7528\u4eba\u5de5\u667a\u80fd\u548c\u673a\u5668\u5b66\u4e60\u6280\u672f\u5bf9 Tomcat \u670d\u52a1\u5668\u7684\u6027\u80fd\u8fdb\u884c\u9884\u6d4b\u548c\u4f18\u5316\u3002\u4f8b\u5982&#xff0c;\u901a\u8fc7\u5206\u6790\u670d\u52a1\u5668\u7684\u5386\u53f2\u6027\u80fd\u6570\u636e&#xff0c;\u9884\u6d4b\u53ef\u80fd\u51fa\u73b0\u7684\u6545\u969c&#xff0c;\u5e76\u63d0\u524d\u91c7\u53d6\u63aa\u65bd\u8fdb\u884c\u9884\u9632\u3002<\/li>\n<li>\u4e91\u539f\u751f\u67b6\u6784&#xff1a;\u8d8a\u6765\u8d8a\u591a\u7684\u4f01\u4e1a\u5c06 Tomcat \u5e94\u7528\u8fc1\u79fb\u5230\u4e91\u7aef&#xff0c;\u91c7\u7528\u4e91\u539f\u751f\u67b6\u6784\u6765\u6784\u5efa\u9ad8\u53ef\u7528\u7684\u670d\u52a1\u3002\u4e91\u539f\u751f\u67b6\u6784\u63d0\u4f9b\u4e86\u5f39\u6027\u4f38\u7f29\u3001\u81ea\u52a8\u6545\u969c\u8f6c\u79fb\u7b49\u529f\u80fd&#xff0c;\u80fd\u591f\u66f4\u597d\u5730\u6ee1\u8db3\u4f01\u4e1a\u7684\u4e1a\u52a1\u9700\u6c42\u3002<\/li>\n<\/ul>\n<h4>\u6311\u6218<\/h4>\n<ul>\n<li>\u590d\u6742\u6027\u7ba1\u7406&#xff1a;\u968f\u7740\u67b6\u6784\u7684\u4e0d\u65ad\u53d1\u5c55&#xff0c;Tomcat \u9ad8\u53ef\u7528\u67b6\u6784\u7684\u590d\u6742\u6027\u4e5f\u5728\u589e\u52a0\u3002\u5982\u4f55\u6709\u6548\u5730\u7ba1\u7406\u548c\u7ef4\u62a4\u8fd9\u4e9b\u590d\u6742\u7684\u67b6\u6784&#xff0c;\u786e\u4fdd\u7cfb\u7edf\u7684\u7a33\u5b9a\u6027\u548c\u53ef\u9760\u6027&#xff0c;\u662f\u4e00\u4e2a\u6311\u6218\u3002<\/li>\n<li>\u6570\u636e\u4e00\u81f4\u6027&#xff1a;\u5728\u96c6\u7fa4\u73af\u5883\u4e2d&#xff0c;\u4fdd\u8bc1\u6570\u636e\u7684\u4e00\u81f4\u6027\u662f\u4e00\u4e2a\u5173\u952e\u95ee\u9898\u3002\u7279\u522b\u662f\u5728\u4f1a\u8bdd\u7ba1\u7406\u548c\u6570\u636e\u5e93\u64cd\u4f5c\u65b9\u9762&#xff0c;\u9700\u8981\u91c7\u7528\u5408\u9002\u7684\u673a\u5236\u6765\u786e\u4fdd\u6570\u636e\u7684\u4e00\u81f4\u6027\u3002<\/li>\n<li>\u5b89\u5168\u95ee\u9898&#xff1a;\u9ad8\u53ef\u7528\u67b6\u6784\u6d89\u53ca\u591a\u4e2a\u670d\u52a1\u5668\u548c\u7ec4\u4ef6&#xff0c;\u589e\u52a0\u4e86\u5b89\u5168\u98ce\u9669\u3002\u5982\u4f55\u4fdd\u969c\u7cfb\u7edf\u7684\u5b89\u5168\u6027&#xff0c;\u9632\u6b62\u9ed1\u5ba2\u653b\u51fb\u548c\u6570\u636e\u6cc4\u9732&#xff0c;\u662f\u4e00\u4e2a\u4e9f\u5f85\u89e3\u51b3\u7684\u95ee\u9898\u3002<\/li>\n<\/ul>\n<h3>9. \u9644\u5f55&#xff1a;\u5e38\u89c1\u95ee\u9898\u4e0e\u89e3\u7b54<\/h3>\n<h4>\u95ee\u9898 1&#xff1a;\u5982\u4f55\u914d\u7f6e Tomcat \u96c6\u7fa4\u7684\u4f1a\u8bdd\u590d\u5236&#xff1f;<\/h4>\n<p>\u89e3\u7b54&#xff1a;\u53ef\u4ee5\u5728 Tomcat \u7684 server.xml \u6587\u4ef6\u4e2d\u914d\u7f6e &lt;Cluster&gt; \u5143\u7d20&#xff0c;\u542f\u7528\u4f1a\u8bdd\u590d\u5236\u529f\u80fd\u3002\u540c\u65f6&#xff0c;\u9700\u8981\u786e\u4fdd\u96c6\u7fa4\u4e2d\u7684\u6240\u6709\u670d\u52a1\u5668\u53ef\u4ee5\u76f8\u4e92\u901a\u4fe1\u3002<\/p>\n<h4>\u95ee\u9898 2&#xff1a;Nginx \u8d1f\u8f7d\u5747\u8861\u5668\u5982\u4f55\u5b9e\u73b0\u6545\u969c\u8f6c\u79fb&#xff1f;<\/h4>\n<p>\u89e3\u7b54&#xff1a;Nginx \u53ef\u4ee5\u901a\u8fc7 proxy_next_upstream \u6307\u4ee4\u5b9e\u73b0\u6545\u969c\u8f6c\u79fb\u3002\u5f53\u540e\u7aef\u670d\u52a1\u5668\u51fa\u73b0\u6545\u969c\u65f6&#xff0c;Nginx \u4f1a\u81ea\u52a8\u5c06\u8bf7\u6c42\u8f6c\u53d1\u5230\u5176\u4ed6\u6b63\u5e38\u8fd0\u884c\u7684\u670d\u52a1\u5668\u4e0a\u3002<\/p>\n<h4>\u95ee\u9898 3&#xff1a;\u5982\u4f55\u76d1\u63a7 Tomcat \u670d\u52a1\u5668\u7684\u6027\u80fd&#xff1f;<\/h4>\n<p>\u89e3\u7b54&#xff1a;\u53ef\u4ee5\u4f7f\u7528 VisualVM\u3001YourKit Java Profiler \u7b49\u5de5\u5177\u76d1\u63a7 Tomcat \u670d\u52a1\u5668\u7684\u6027\u80fd\u6307\u6807&#xff0c;\u5982 CPU \u4f7f\u7528\u7387\u3001\u5185\u5b58\u4f7f\u7528\u60c5\u51b5\u3001\u7ebf\u7a0b\u6570\u7b49\u3002\u4e5f\u53ef\u4ee5\u901a\u8fc7 Tomcat \u81ea\u5e26\u7684 JMX \u529f\u80fd\u8fdb\u884c\u76d1\u63a7\u3002<\/p>\n<h3>10. \u6269\u5c55\u9605\u8bfb &amp; \u53c2\u8003\u8d44\u6599<\/h3>\n<ul>\n<li>\u300aTomcat \u5b9e\u6218\u300b<\/li>\n<li>\u300a\u9ad8\u6027\u80fd MySQL\u300b<\/li>\n<li>https:\/\/tomcat.apache.org\/<\/li>\n<li>https:\/\/nginx.org\/<\/li>\n<li>https:\/\/spring.io\/projects\/spring-boot<\/li>\n<li>\u76f8\u5173\u5b66\u672f\u8bba\u6587\u548c\u6280\u672f\u535a\u5ba2\u6587\u7ae0<\/li>\n<\/ul>\n<p>\u901a\u8fc7\u4ee5\u4e0a\u5185\u5bb9&#xff0c;\u6211\u4eec\u5bf9 Tomcat \u670d\u52a1\u5668\u7684\u9ad8\u53ef\u7528\u67b6\u6784\u8bbe\u8ba1\u6709\u4e86\u5168\u9762\u7684\u4e86\u89e3\u3002\u4ece\u6838\u5fc3\u6982\u5ff5\u5230\u5b9e\u9645\u5e94\u7528&#xff0c;\u518d\u5230\u672a\u6765\u53d1\u5c55\u8d8b\u52bf\u548c\u6311\u6218&#xff0c;\u5e0c\u671b\u672c\u6587\u80fd\u591f\u4e3a\u5f00\u53d1\u8005\u63d0\u4f9b\u6709\u4ef7\u503c\u7684\u53c2\u8003&#xff0c;\u5e2e\u52a9\u4ed6\u4eec\u6784\u5efa\u66f4\u52a0\u7a33\u5b9a\u3001\u9ad8\u6548\u7684 Tomcat \u9ad8\u53ef\u7528\u67b6\u6784\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb780\u6b21\uff0c\u70b9\u8d5e17\u6b21\uff0c\u6536\u85cf24\u6b21\u3002\u5728\u5f53\u4eca\u7684\u4e92\u8054\u7f51\u5e94\u7528\u4e2d\uff0c\u7528\u6237\u5bf9\u4e8e\u670d\u52a1\u7684\u53ef\u7528\u6027\u8981\u6c42\u8d8a\u6765\u8d8a\u9ad8\u3002Tomcat \u4f5c\u4e3a Java \u9886\u57df\u5e7f\u6cdb\u4f7f\u7528\u7684 Web \u670d\u52a1\u5668\uff0c\u5176\u9ad8\u53ef\u7528\u6027\u76f4\u63a5\u5173\u7cfb\u5230\u5e94\u7528\u7cfb\u7edf\u7684\u7a33\u5b9a\u8fd0\u884c\u3002\u672c\u6587\u7ae0\u7684\u76ee\u7684\u5728\u4e8e\u6df1\u5165\u63a2\u8ba8 Tomcat \u670d\u52a1\u5668\u9ad8\u53ef\u7528\u67b6\u6784\u7684\u8bbe\u8ba1\u65b9\u6cd5\uff0c\u6db5\u76d6\u4ece\u57fa\u672c\u6982\u5ff5\u5230\u5b9e\u9645\u5e94\u7528\u7684\u5404\u4e2a\u65b9\u9762\uff0c\u5305\u62ec\u67b6\u6784\u539f\u7406\u3001\u7b97\u6cd5\u5b9e\u73b0\u3001\u9879\u76ee\u5b9e\u6218\u4ee5\u53ca\u76f8\u5173\u5de5\u5177\u8d44\u6e90\u7b49\u5185\u5bb9\uff0c\u65e8\u5728\u4e3a\u5f00\u53d1\u8005\u63d0\u4f9b\u5168\u9762\u4e14\u5b9e\u7528\u7684\u6307\u5bfc\uff0c\u5e2e\u52a9\u4ed6\u4eec\u6784\u5efa\u5177\u6709\u9ad8\u53ef\u7528\u6027\u7684 Tomcat \u670d\u52a1\u5668\u67b6\u6784\u3002\u672c\u6587\u5c06\u6309\u7167\u4ee5\u4e0b\u7ed3\u6784\u5c55\u5f00\uff1a\u9996\u5148\u4ecb\u7ecd\u6838\u5fc3\u6982\u5ff5\u4e0e\u8054\u7cfb\uff0c\u8ba9\u8bfb\u8005\u5bf9 Tomcat \u9ad8\u53ef\u7528\u67b6\u6784\u6709\u521d\u6b65\u7684\u8ba4\u8bc6\uff1b<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[66,99,223,1836,43],"topic":[],"class_list":{"0":"post-23927","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"hentry","6":"category-server","7":"tag-ai","8":"tag-java","9":"tag-tomcat","11":"tag-43"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Java \u9886\u57df\uff1aTomcat \u670d\u52a1\u5668\u7684\u9ad8\u53ef\u7528\u67b6\u6784\u8bbe\u8ba1 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/23927.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Java \u9886\u57df\uff1aTomcat \u670d\u52a1\u5668\u7684\u9ad8\u53ef\u7528\u67b6\u6784\u8bbe\u8ba1 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"\u6587\u7ae0\u6d4f\u89c8\u9605\u8bfb780\u6b21\uff0c\u70b9\u8d5e17\u6b21\uff0c\u6536\u85cf24\u6b21\u3002\u5728\u5f53\u4eca\u7684\u4e92\u8054\u7f51\u5e94\u7528\u4e2d\uff0c\u7528\u6237\u5bf9\u4e8e\u670d\u52a1\u7684\u53ef\u7528\u6027\u8981\u6c42\u8d8a\u6765\u8d8a\u9ad8\u3002Tomcat \u4f5c\u4e3a Java \u9886\u57df\u5e7f\u6cdb\u4f7f\u7528\u7684 Web \u670d\u52a1\u5668\uff0c\u5176\u9ad8\u53ef\u7528\u6027\u76f4\u63a5\u5173\u7cfb\u5230\u5e94\u7528\u7cfb\u7edf\u7684\u7a33\u5b9a\u8fd0\u884c\u3002\u672c\u6587\u7ae0\u7684\u76ee\u7684\u5728\u4e8e\u6df1\u5165\u63a2\u8ba8 Tomcat 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