{"id":93040,"date":"2024-05-21T20:18:04","date_gmt":"2024-05-21T12:18:04","guid":{"rendered":"https:\/\/www.techphant.cn\/?p=93040"},"modified":"2024-05-21T20:18:37","modified_gmt":"2024-05-21T12:18:37","slug":"mnthsfyl","status":"publish","type":"post","link":"https:\/\/www.techphant.cn\/blog\/93040.html","title":{"rendered":"\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u539f\u7406"},"content":{"rendered":"\n<p>\u3000\u3000<strong>\u6a21\u62df\u9000\u706b\u7b97\u6cd5(Simulated Annealing, SA)<\/strong>\u662f\u4e00\u79cd\u57fa\u4e8e\u6982\u7387\u7684\u4f18\u5316\u7b97\u6cd5\uff0c\u5176\u7075\u611f\u6765\u6e90\u4e8e\u7269\u7406\u4e2d\u7684\u56fa\u4f53\u9000\u706b\u8fc7\u7a0b\u3002\u8be5\u7b97\u6cd5\u7684\u57fa\u672c\u601d\u60f3\u662f\u5c06\u4e00\u4e2a\u7cfb\u7edf\u4ece\u9ad8\u6e29\u72b6\u6001\u9010\u6e10\u51b7\u5374\u5230\u4f4e\u6e29\u72b6\u6001\uff0c\u8fc7\u7a0b\u4e2d\u7cfb\u7edf\u5185\u90e8\u7684\u7c92\u5b50\u4f1a\u5728\u4e0d\u540c\u6e29\u5ea6\u4e0b\u8fbe\u5230\u4e0d\u540c\u7684\u5e73\u8861\u6001\uff0c\u6700\u7ec8\u5728\u5e38\u6e29\u65f6\u8fbe\u5230\u57fa\u6001\uff0c\u5373\u7cfb\u7edf\u80fd\u91cf\u6700\u5c0f\u5316\u7684\u72b6\u6001\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u5177\u4f53\u6765\u8bf4\uff0c\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u7684\u6b65\u9aa4\u5982\u4e0b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u3000\u3000\u521d\u59cb\u6e29\u5ea6\uff1a\u9009\u62e9\u4e00\u4e2a\u8f83\u9ad8\u7684\u521d\u59cb\u6e29\u5ea6\uff0c\u8fd9\u4e2a\u6e29\u5ea6\u8db3\u591f\u9ad8\uff0c\u4ee5\u81f3\u4e8e\u7cfb\u7edf\u53ef\u4ee5\u63a5\u53d7\u4efb\u4f55\u53ef\u80fd\u5bfc\u81f4\u80fd\u91cf\u589e\u52a0\u7684\u72b6\u6001\u3002<\/li>\n\n\n\n<li>\u3000\u3000\u90bb\u57df\u641c\u7d22\uff1a\u5728\u5f53\u524d\u72b6\u6001\u7684\u57fa\u7840\u4e0a\uff0c\u901a\u8fc7\u67d0\u79cd\u90bb\u57df\u641c\u7d22\u7b56\u7565\u751f\u6210\u65b0\u7684\u72b6\u6001\u3002\u8fd9\u4e00\u6b65\u9aa4\u7c7b\u4f3c\u4e8e\u5728\u56fa\u4f53\u9000\u706b\u8fc7\u7a0b\u4e2d\uff0c\u7c92\u5b50\u5728\u9ad8\u6e29\u4e0b\u7684\u65e0\u5e8f\u8fd0\u52a8\u3002<\/li>\n\n\n\n<li>\u3000\u3000\u63a5\u53d7\u51c6\u5219\uff1a\u6839\u636eMetropolis\u51c6\u5219\uff0c\u8ba1\u7b97\u65b0\u72b6\u6001\u4e0e\u5f53\u524d\u72b6\u6001\u4e4b\u95f4\u7684\u80fd\u91cf\u5dee\u5f02\u3002\u5982\u679c\u65b0\u72b6\u6001\u7684\u80fd\u91cf\u66f4\u4f4e\uff0c\u5219\u76f4\u63a5\u63a5\u53d7;\u5982\u679c\u65b0\u72b6\u6001\u7684\u80fd\u91cf\u66f4\u9ad8\uff0c\u5219\u4ee5\u4e00\u5b9a\u7684\u6982\u7387\u63a5\u53d7\uff0c\u8fd9\u4e2a\u6982\u7387\u968f\u7740\u6e29\u5ea6\u7684\u964d\u4f4e\u800c\u51cf\u5c0f\u3002<\/li>\n\n\n\n<li>\u3000\u3000\u51b7\u5374\u63a7\u5236\uff1a\u9010\u6e10\u964d\u4f4e\u7cfb\u7edf\u7684\u6e29\u5ea6\uff0c\u6bcf\u6b21\u964d\u6e29\u540e\u518d\u6b21\u8fdb\u884c\u90bb\u57df\u641c\u7d22\u548c\u63a5\u53d7\u51c6\u5219\u7684\u68c0\u67e5\uff0c\u76f4\u5230\u7cfb\u7edf\u8fbe\u5230\u6240\u9700\u7684\u6700\u4f4e\u6e29\u5ea6\u6216\u6ee1\u8db3\u5176\u4ed6\u7ec8\u6b62\u6761\u4ef6\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u3000\u3000\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u7684\u4f18\u70b9\u5305\u62ec\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000\u5168\u5c40\u641c\u7d22\u80fd\u529b\uff1a\u7531\u4e8e\u5728\u9ad8\u6e29\u9636\u6bb5\u53ef\u4ee5\u63a5\u53d7\u8f83\u5dee\u7684\u89e3\uff0c\u56e0\u6b64\u6709\u53ef\u80fd\u8df3\u51fa\u5c40\u90e8\u6700\u4f18\u89e3\uff0c\u5bfb\u627e\u5230\u5168\u5c40\u6700\u4f18\u89e3\u3002<\/li>\n\n\n\n<li>\u3000\u3000\u7075\u6d3b\u6027\uff1a\u8be5\u7b97\u6cd5\u4e0d\u9700\u8981\u5bf9\u95ee\u9898\u7684\u5177\u4f53\u5f62\u5f0f\u6709\u6df1\u5165\u4e86\u89e3\uff0c\u53ea\u9700\u5b9a\u4e49\u9002\u5e94\u5ea6\u51fd\u6570\u5373\u53ef\u5e94\u7528\u4e8e\u5404\u79cd\u4f18\u5316\u95ee\u9898\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u3000\u3000\u7136\u800c\uff0c\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u4e5f\u6709\u4e00\u4e9b\u7f3a\u70b9\uff0c\u5982\u6536\u655b\u901f\u5ea6\u6162\u3001\u53c2\u6570\u9009\u62e9\u590d\u6742\u7b49\u3002\u5c3d\u7ba1\u5982\u6b64\uff0c\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u8bb8\u591a\u9886\u57df\uff0c\u5982\u673a\u5668\u5b66\u4e60\u3001\u8ba1\u7b97\u673a\u89c6\u89c9\u3001\u751f\u7269\u4fe1\u606f\u5b66\u7b49\uff0c\u90fd\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\u524d\u666f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u3000\u3000\u4e00\u3001 \u6a21\u62df\u9000\u706b\u7b97\u6cd5\u7684\u90bb\u57df\u641c\u7d22\u7b56\u7565\u6709\u54ea\u4e9b\uff0c\u5b83\u4eec\u662f\u5982\u4f55\u5de5\u4f5c\u7684?<\/h2>\n\n\n\n<p>\u3000\u3000\u6a21\u62df\u9000\u706b\u7b97\u6cd5(Simulated Annealing, SA)\u662f\u4e00\u79cd\u542f\u53d1\u5f0f\u7684\u4f18\u5316\u7b97\u6cd5\uff0c\u5176\u6838\u5fc3\u5728\u4e8e\u901a\u8fc7\u6a21\u62df\u91d1\u5c5e\u9000\u706b\u8fc7\u7a0b\u4e2d\u7684\u80fd\u91cf\u6700\u5c0f\u5316\u6765\u5bfb\u627e\u95ee\u9898\u7684\u6700\u4f18\u89e3\u3002\u90bb\u57df\u641c\u7d22\u7b56\u7565\u662f\u8be5\u7b97\u6cd5\u4e2d\u975e\u5e38\u5173\u952e\u7684\u4e00\u90e8\u5206\uff0c\u4e3b\u8981\u7528\u4e8e\u5728\u89e3\u7a7a\u95f4\u4e2d\u8fdb\u884c\u6709\u6548\u7684\u5c40\u90e8\u641c\u7d22\uff0c\u4ee5\u63d0\u9ad8\u6c42\u89e3\u6548\u7387\u548c\u8d28\u91cf\u3002\u4ee5\u4e0b\u662f\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u4e2d\u5e38\u89c1\u7684\u51e0\u79cd\u90bb\u57df\u641c\u7d22\u7b56\u7565\u53ca\u5176\u5de5\u4f5c\u539f\u7406\uff1a<\/p>\n\n\n\n<p>\u3000\u3000\u8fd9\u79cd\u7b56\u7565\u901a\u8fc7\u5bf9\u5f53\u524d\u89e3\u8fdb\u884c\u5fae\u5c0f\u7684\u6270\u52a8\u6765\u751f\u6210\u65b0\u7684\u89e3\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u53ef\u4ee5\u901a\u8fc7\u968f\u673a\u9009\u62e9\u4e00\u4e2a\u6216\u591a\u4e2a\u53d8\u91cf\uff0c\u5e76\u5728\u5176\u5141\u8bb8\u7684\u8303\u56f4\u5185\u968f\u673a\u6539\u53d8\u8fd9\u4e9b\u53d8\u91cf\u7684\u503c\uff0c\u4ece\u800c\u5f97\u5230\u4e00\u4e2a\u65b0\u7684\u89e3\u3002\u8fd9\u79cd\u65b9\u6cd5\u7b80\u5355\u76f4\u63a5\uff0c\u4f46\u53ef\u80fd\u4f1a\u5bfc\u81f4\u641c\u7d22\u8fc7\u7a0b\u8fc7\u4e8e\u7f13\u6162\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u76f8\u6bd4\u4e8e\u5355\u4e00\u90bb\u57df\u641c\u7d22\uff0c\u591a\u91cd\u90bb\u57df\u641c\u7d22\u901a\u8fc7\u540c\u65f6\u6539\u53d8\u591a\u4e2a\u53d8\u91cf\u6765\u751f\u6210\u65b0\u89e3\u3002\u8fd9\u79cd\u65b9\u6cd5\u53ef\u4ee5\u66f4\u5feb\u5730\u63a2\u7d22\u89e3\u7a7a\u95f4\uff0c\u4f46\u4e5f\u589e\u52a0\u4e86\u7b97\u6cd5\u7684\u590d\u6742\u6027\u548c\u8ba1\u7b97\u6210\u672c\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u53d8\u90bb\u57df\u641c\u7d22\u662f\u4e00\u79cd\u52a8\u6001\u8c03\u6574\u90bb\u57df\u7ed3\u6784\u7684\u7b56\u7565\u3002\u5728\u521d\u59cb\u9636\u6bb5\uff0c\u7b97\u6cd5\u4f7f\u7528\u8f83\u5927\u7684\u90bb\u57df\u7ed3\u6784\u8fdb\u884c\u641c\u7d22\uff0c\u4ee5\u5feb\u901f\u8986\u76d6\u89e3\u7a7a\u95f4\u4e2d\u7684\u5e7f\u6cdb\u533a\u57df\u3002\u5f53\u63a5\u8fd1\u5c40\u90e8\u6700\u4f18\u89e3\u65f6\uff0c\u7b97\u6cd5\u9010\u6e10\u7f29\u5c0f\u90bb\u57df\u7ed3\u6784\uff0c\u8fdb\u884c\u66f4\u7cbe\u7ec6\u7684\u5c40\u90e8\u641c\u7d22\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u6df7\u5408\u4f18\u5316\u7b56\u7565\u7ed3\u5408\u4e86\u53d8\u90bb\u57df\u641c\u7d22\u548c\u5176\u4ed6\u5c40\u90e8\u641c\u7d22\u6280\u672f\uff0c\u5982\u722c\u5c71\u6cd5\u7b49\u3002\u8fd9\u79cd\u7b56\u7565\u901a\u8fc7\u7cfb\u7edf\u5316\u5730\u53d8\u6362\u90bb\u57df\u7ed3\u6784\uff0c\u5e76\u7ed3\u5408\u5176\u4ed6\u9ad8\u6548\u7684\u5c40\u90e8\u641c\u7d22\u65b9\u6cd5\uff0c\u907f\u514d\u9677\u5165\u5c40\u90e8\u6700\u4f18\uff0c\u540c\u65f6\u63d0\u9ad8\u641c\u7d22\u6548\u7387\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u5728\u67d0\u4e9b\u7279\u5b9a\u7684\u4f18\u5316\u95ee\u9898\u4e2d\uff0c\u53ef\u4ee5\u8bbe\u8ba1\u4e13\u95e8\u7684\u90bb\u57df\u641c\u7d22\u7b56\u7565\u3002\u4f8b\u5982\uff0c\u5728\u68ee\u6797\u7a7a\u95f4\u6536\u83b7\u95ee\u9898\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u95ee\u9898\u7684\u7279\u70b9\u8bbe\u8ba1\u7279\u5b9a\u7684\u90bb\u57df\u7ed3\u6784\uff0c\u4ee5\u66f4\u597d\u5730\u9002\u5e94\u95ee\u9898\u7684\u9700\u6c42\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u4e2d\u7684\u90bb\u57df\u641c\u7d22\u7b56\u7565\u591a\u79cd\u591a\u6837\uff0c\u6bcf\u79cd\u7b56\u7565\u90fd\u6709\u5176\u72ec\u7279\u7684\u4f18\u52bf\u548c\u5c40\u9650\u6027\u3002\u9009\u62e9\u5408\u9002\u7684\u90bb\u57df\u641c\u7d22\u7b56\u7565\u5bf9\u4e8e\u63d0\u9ad8\u7b97\u6cd5\u7684\u6027\u80fd\u81f3\u5173\u91cd\u8981\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u3000\u3000\u4e8c\u3001 \u5982\u4f55\u51c6\u786e\u9009\u62e9\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u4e2d\u7684\u521d\u59cb\u6e29\u5ea6\u548c\u51b7\u5374\u901f\u7387\u4ee5\u4f18\u5316\u641c\u7d22\u6548\u7387\u548c\u7ed3\u679c\u8d28\u91cf?<\/h2>\n\n\n\n<p>\u3000\u3000\u5728\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u4e2d\uff0c\u521d\u59cb\u6e29\u5ea6\u548c\u51b7\u5374\u901f\u7387\u662f\u4e24\u4e2a\u5173\u952e\u53c2\u6570\uff0c\u5b83\u4eec\u76f4\u63a5\u5f71\u54cd\u5230\u641c\u7d22\u6548\u7387\u548c\u7ed3\u679c\u8d28\u91cf\u3002\u4ee5\u4e0b\u662f\u5982\u4f55\u51c6\u786e\u9009\u62e9\u8fd9\u4e24\u4e2a\u53c2\u6570\u7684\u8be6\u7ec6\u5efa\u8bae\uff1a<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u3000\u30001. \u521d\u59cb\u6e29\u5ea6\u7684\u9009\u62e9\uff1a<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000<strong>\u9ad8\u521d\u59cb\u6e29\u5ea6<\/strong>\uff1a\u8f83\u9ad8\u7684\u521d\u59cb\u6e29\u5ea6\u6709\u52a9\u4e8e\u7b97\u6cd5\u63a2\u7d22\u66f4\u5e7f\u6cdb\u7684\u641c\u7d22\u7a7a\u95f4\uff0c\u4ece\u800c\u589e\u52a0\u627e\u5230\u5168\u5c40\u6700\u4f18\u89e3\u7684\u53ef\u80fd\u6027\u3002\u7136\u800c\uff0c\u8fc7\u9ad8\u7684\u521d\u59cb\u6e29\u5ea6\u4f1a\u5bfc\u81f4\u8ba1\u7b97\u65f6\u95f4\u663e\u8457\u589e\u52a0\uff0c\u56e0\u4e3a\u9700\u8981\u66f4\u591a\u7684\u8fed\u4ee3\u6b21\u6570\u6765\u964d\u4f4e\u6e29\u5ea6\u3002<\/li>\n\n\n\n<li>\u3000\u3000<strong>\u9002\u4e2d\u521d\u59cb\u6e29\u5ea6<\/strong>\uff1a\u9009\u62e9\u4e00\u4e2a\u9002\u4e2d\u7684\u521d\u59cb\u6e29\u5ea6\u53ef\u4ee5\u5e73\u8861\u5168\u5c40\u641c\u7d22\u80fd\u529b\u548c\u8ba1\u7b97\u65f6\u95f4\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u521d\u59cb\u6e29\u5ea6\u5e94\u8be5\u8db3\u591f\u9ad8\uff0c\u4ee5\u786e\u4fdd\u6700\u7ec8\u89e3\u4e0d\u53d7\u521d\u59cb\u89e3\u7684\u5f71\u54cd\uff0c\u4f46\u53c8\u4e0d\u80fd\u8fc7\u9ad8\uff0c\u4ee5\u907f\u514d\u8fc7\u591a\u7684\u8ba1\u7b97\u65f6\u95f4\u3002<\/li>\n\n\n\n<li>\u3000\u3000<strong>\u5b9e\u9a8c\u9a8c\u8bc1<\/strong>\uff1a\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u521d\u59cb\u6e29\u5ea6\u7684\u9009\u62e9\u5f80\u5f80\u9700\u8981\u901a\u8fc7\u5b9e\u9a8c\u6765\u786e\u5b9a\u3002\u53ef\u4ee5\u901a\u8fc7\u591a\u6b21\u8fd0\u884c\u7b97\u6cd5\uff0c\u5e76\u89c2\u5bdf\u4e0d\u540c\u521d\u59cb\u6e29\u5ea6\u4e0b\u7684\u8868\u73b0\uff0c\u9009\u62e9\u4e00\u4e2a\u65e2\u80fd\u6709\u6548\u63a2\u7d22\u53c8\u80fd\u5728\u5408\u7406\u65f6\u95f4\u5185\u6536\u655b\u7684\u521d\u59cb\u6e29\u5ea6\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u3000\u30002. \u51b7\u5374\u901f\u7387\u7684\u9009\u62e9\uff1a<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000<strong>\u964d\u6e29\u7cfb\u6570<\/strong>\uff1a\u51b7\u5374\u901f\u7387\u901a\u5e38\u901a\u8fc7\u964d\u6e29\u7cfb\u6570(alpha)\u6765\u63a7\u5236\u3002\u964d\u6e29\u7cfb\u6570\u51b3\u5b9a\u4e86\u6e29\u5ea6\u4e0b\u964d\u7684\u901f\u5ea6\uff0c\u964d\u6e29\u7cfb\u6570\u8d8a\u5c0f\uff0c\u6e29\u5ea6\u4e0b\u964d\u5f97\u8d8a\u6162\uff0c\u7b97\u6cd5\u63a2\u7d22\u7684\u6df1\u5ea6\u4e5f\u5c31\u8d8a\u5927\uff0c\u4f46\u76f8\u5e94\u7684\u8ba1\u7b97\u65f6\u95f4\u4e5f\u4f1a\u589e\u52a0\u3002<\/li>\n\n\n\n<li>\u3000\u3000<strong>\u5747\u5300\u62bd\u6837<\/strong>\uff1a\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u53ef\u4ee5\u901a\u8fc7\u5747\u5300\u62bd\u6837\u4e00\u7ec4\u72b6\u6001\uff0c\u5e76\u4ee5\u8fd9\u4e9b\u72b6\u6001\u76ee\u6807\u503c\u7684\u65b9\u5dee\u4f5c\u4e3a\u521d\u6e29\uff0c\u8fd9\u79cd\u65b9\u6cd5\u53ef\u4ee5\u5e2e\u52a9\u786e\u5b9a\u4e00\u4e2a\u5408\u7406\u7684\u521d\u59cb\u6e29\u5ea6\u3002<\/li>\n\n\n\n<li>\u3000\u3000<strong>\u63a7\u5236\u53c2\u6570<\/strong>\uff1a\u51b7\u5374\u8fc7\u7a0b\u7531\u4e00\u7ec4\u521d\u59cb\u53c2\u6570\u63a7\u5236\uff0c\u5373\u51b7\u5374\u8fdb\u5ea6\u8868\u3002\u8fd9\u4e2a\u8fdb\u5ea6\u8868\u5e94\u8be5\u5c3d\u91cf\u4f7f\u7cfb\u7edf\u8fbe\u5230\u8f6c\u5e73\u8861\uff0c\u4ee5\u4f7f\u7b97\u6cd5\u5728\u6709\u9650\u7684\u65f6\u95f4\u5185\u903c\u8fd1\u6700\u4f18\u89e3\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u3000\u30003. \u7efc\u5408\u8003\u8651\uff1a<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000<strong>\u6027\u80fd\u4e0e\u65f6\u95f4\u7684\u6743\u8861<\/strong>\uff1a\u5728\u9009\u62e9\u521d\u59cb\u6e29\u5ea6\u548c\u51b7\u5374\u901f\u7387\u65f6\uff0c\u9700\u8981\u5728\u641c\u7d22\u6548\u7387\u548c\u8ba1\u7b97\u65f6\u95f4\u4e4b\u95f4\u505a\u51fa\u6743\u8861\u3002\u8f83\u9ad8\u7684\u521d\u59cb\u6e29\u5ea6\u548c\u8f83\u6162\u7684\u51b7\u5374\u901f\u7387\u53ef\u4ee5\u63d0\u9ad8\u627e\u5230\u5168\u5c40\u6700\u4f18\u89e3\u7684\u6982\u7387\uff0c\u4f46\u4f1a\u589e\u52a0\u8ba1\u7b97\u65f6\u95f4;\u53cd\u4e4b\uff0c\u5219\u53ef\u4ee5\u8282\u7ea6\u8ba1\u7b97\u65f6\u95f4\uff0c\u4f46\u53ef\u80fd\u4f1a\u727a\u7272\u5168\u5c40\u641c\u7d22\u6027\u80fd\u3002<\/li>\n\n\n\n<li>\u3000\u3000<strong>\u5b9e\u4f8b\u5206\u6790<\/strong>\uff1a\u901a\u8fc7\u5177\u4f53\u7684\u5b9e\u4f8b\u6765\u5206\u6790\u4e0d\u540c\u53c2\u6570\u8bbe\u7f6e\u4e0b\u7684\u6548\u679c\uff0c\u53ef\u4ee5\u66f4\u76f4\u89c2\u5730\u7406\u89e3\u53c2\u6570\u5bf9\u7b97\u6cd5\u6027\u80fd\u7684\u5f71\u54cd\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u3000\u3000\u9009\u62e9\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u4e2d\u7684\u521d\u59cb\u6e29\u5ea6\u548c\u51b7\u5374\u901f\u7387\u9700\u8981\u7efc\u5408\u8003\u8651\u5168\u5c40\u641c\u7d22\u80fd\u529b\u3001\u8ba1\u7b97\u65f6\u95f4\u4ee5\u53ca\u5b9e\u9a8c\u7ed3\u679c\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u3000\u3000\u4e09\u3001 \u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u89e3\u51b3\u7279\u5b9a\u7c7b\u578b\u95ee\u9898\u65f6\u7684\u6027\u80fd\u8868\u73b0\u5982\u4f55\uff0c\u4e0e\u5176\u4ed6\u4f18\u5316\u7b97\u6cd5(\u5982\u9057\u4f20\u7b97\u6cd5\u3001\u7c92\u5b50\u7fa4\u4f18\u5316)\u76f8\u6bd4\u6709\u4f55\u4f18\u52a3?<\/h2>\n\n\n\n<p>\u3000\u3000\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u89e3\u51b3\u7279\u5b9a\u7c7b\u578b\u95ee\u9898\u65f6\u7684\u6027\u80fd\u8868\u73b0\u4e0e\u5176\u4ed6\u4f18\u5316\u7b97\u6cd5(\u5982\u9057\u4f20\u7b97\u6cd5\u3001\u7c92\u5b50\u7fa4\u4f18\u5316)\u76f8\u6bd4\u5177\u6709\u4e00\u5b9a\u7684\u4f18\u52bf\u548c\u52a3\u52bf\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u89e3\u51b3\u65c5\u884c\u5546\u95ee\u9898(TSP)\u65f6\u8868\u73b0\u51fa\u8f83\u597d\u7684\u6027\u80fd\u3002\u901a\u8fc7\u5b9e\u9a8c\u5206\u6790\uff0c\u53d1\u73b0\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u80fd\u591f\u5728\u8f83\u77ed\u7684\u65f6\u95f4\u5185\u627e\u5230\u76f8\u5bf9\u4f18\u5316\u7684\u89e3\u3002\u8fd9\u8868\u660e\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u67d0\u4e9b\u5168\u5c40\u4f18\u5316\u95ee\u9898\u4e0a\u5177\u6709\u8f83\u5f3a\u7684\u6548\u7387\u548c\u6548\u679c\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u7136\u800c\uff0c\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u4e5f\u6709\u5176\u5c40\u9650\u6027\u3002\u5b83\u4e3b\u8981\u4f9d\u8d56\u4e8e\u6982\u7387\u63a5\u53d7\u673a\u5236\u6765\u9010\u6b65\u903c\u8fd1\u5168\u5c40\u6700\u4f18\u89e3\uff0c\u8fd9\u79cd\u65b9\u6cd5\u867d\u7136\u53ef\u4ee5\u907f\u514d\u9677\u5165\u5c40\u90e8\u6700\u4f18\uff0c\u4f46\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u53ef\u80fd\u4f1a\u5bfc\u81f4\u6536\u655b\u901f\u5ea6\u8f83\u6162\u3002\u6b64\u5916\uff0c\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u5904\u7406\u590d\u6742\u95ee\u9898\u65f6\uff0c\u9700\u8981\u8c03\u6574\u53c2\u6570\u4ee5\u5e73\u8861\u5168\u5c40\u641c\u7d22\u548c\u5c40\u90e8\u641c\u7d22\u7684\u80fd\u529b\uff0c\u8fd9\u589e\u52a0\u4e86\u7b97\u6cd5\u7684\u590d\u6742\u6027\u548c\u4f7f\u7528\u96be\u5ea6\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u4e0e\u5176\u4ed6\u4f18\u5316\u7b97\u6cd5\u76f8\u6bd4\uff0c\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u6709\u4ee5\u4e0b\u4f18\u52a3\uff1a<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u3000\u30001. \u9057\u4f20\u7b97\u6cd5\uff1a<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000\u4f18\u70b9\uff1a\u9057\u4f20\u7b97\u6cd5\u5177\u6709\u5f88\u5f3a\u7684\u5168\u5c40\u641c\u7d22\u80fd\u529b\uff0c\u80fd\u591f\u6709\u6548\u5730\u8df3\u51fa\u5c40\u90e8\u6700\u4f18\uff0c\u6700\u7ec8\u5f97\u5230\u5168\u5c40\u6700\u4f18\u89e3\u3002\u5b83\u8fd8\u80fd\u5f88\u597d\u5730\u5904\u7406\u7ea6\u675f\u95ee\u9898\u3002<\/li>\n\n\n\n<li>\u3000\u3000\u7f3a\u70b9\uff1a\u9057\u4f20\u7b97\u6cd5\u7684\u6536\u655b\u901f\u5ea6\u8f83\u6162\uff0c\u8fd0\u884c\u65f6\u95f4\u957f\uff0c\u4e14\u5c40\u90e8\u641c\u7d22\u80fd\u529b\u8f83\u5f31\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u3000\u30002. \u7c92\u5b50\u7fa4\u4f18\u5316(PSO)\uff1a<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000\u4f18\u70b9\uff1a\u7c92\u5b50\u7fa4\u4f18\u5316\u7b97\u6cd5\u901a\u8fc7\u7fa4\u4f53\u534f\u4f5c\u6765\u5bfb\u627e\u6700\u4f18\u89e3\uff0c\u5177\u6709\u8f83\u597d\u7684\u5168\u5c40\u641c\u7d22\u80fd\u529b\u3002<\/li>\n\n\n\n<li>\u3000\u3000\u7f3a\u70b9\uff1a\u6807\u51c6\u7c92\u5b50\u7fa4\u4f18\u5316\u7b97\u6cd5\u5bb9\u6613\u9677\u5165\u5c40\u90e8\u6700\u4f18\uff0c\u6536\u655b\u7cbe\u5ea6\u4f4e\u3002\u4e3a\u4e86\u6539\u5584\u8fd9\u4e9b\u95ee\u9898\uff0c\u53ef\u4ee5\u5c06\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u4e0e\u7c92\u5b50\u7fa4\u4f18\u5316\u7b97\u6cd5\u7ed3\u5408\u8d77\u6765\uff0c\u5229\u7528\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u7684\u5c40\u90e8\u641c\u7d22\u80fd\u529b\u6765\u63d0\u9ad8\u6574\u4f53\u6027\u80fd\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u3000\u3000\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u89e3\u51b3\u7279\u5b9a\u7c7b\u578b\u95ee\u9898\u65f6\u8868\u73b0\u51fa\u8f83\u597d\u7684\u6027\u80fd\uff0c\u5c24\u5176\u662f\u5728\u9700\u8981\u5feb\u901f\u627e\u5230\u76f8\u5bf9\u4f18\u5316\u89e3\u7684\u95ee\u9898\u4e0a\u3002\u7136\u800c\uff0c\u5b83\u5728\u5904\u7406\u590d\u6742\u95ee\u9898\u65f6\u53ef\u80fd\u4f1a\u9047\u5230\u6536\u655b\u901f\u5ea6\u6162\u548c\u53c2\u6570\u8c03\u6574\u56f0\u96be\u7684\u95ee\u9898\u3002\u4e0e\u9057\u4f20\u7b97\u6cd5\u548c\u7c92\u5b50\u7fa4\u4f18\u5316\u7b97\u6cd5\u76f8\u6bd4\uff0c\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u67d0\u4e9b\u65b9\u9762\u5177\u6709\u4f18\u52bf\uff0c\u4f46\u4e5f\u5b58\u5728\u4e00\u5b9a\u7684\u5c40\u9650\u6027\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u3000\u3000\u56db\u3001 \u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u673a\u5668\u5b66\u4e60\u9886\u57df\u7684\u5e94\u7528\u6848\u4f8b\u6709\u54ea\u4e9b\uff0c\u7279\u522b\u662f\u5728\u672a\u660e\u786e\u5b9a\u4e49\u76ee\u6807\u51fd\u6570\u7684\u4f18\u5316\u95ee\u9898\u4e0a?<\/h2>\n\n\n\n<p>\u3000\u3000\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u673a\u5668\u5b66\u4e60\u9886\u57df\u7684\u5e94\u7528\u975e\u5e38\u5e7f\u6cdb\uff0c\u7279\u522b\u662f\u5728\u672a\u660e\u786e\u5b9a\u4e49\u76ee\u6807\u51fd\u6570\u7684\u4f18\u5316\u95ee\u9898\u4e0a\uff0c\u5c55\u73b0\u4e86\u5176\u72ec\u7279\u7684\u4f18\u52bf\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u5177\u4f53\u7684\u5e94\u7528\u6848\u4f8b\uff1a<\/p>\n\n\n\n<p>\u3000\u3000\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u795e\u7ecf\u7f51\u7edc\u4e2d\u7684\u5e94\u7528\u4e3b\u8981\u4f53\u73b0\u5728\u5168\u5c40\u4f18\u5316\u80fd\u529b\u4e0a\u3002\u901a\u8fc7\u6a21\u62df\u9000\u706b\u7b97\u6cd5\uff0c\u53ef\u4ee5\u6709\u6548\u5730\u89e3\u51b3\u795e\u7ecf\u7f51\u7edc\u5728\u6c42\u89e3\u590d\u6742\u95ee\u9898\u65f6\u9047\u5230\u7684\u56f0\u96be\uff0c\u4ece\u800c\u63d0\u9ad8\u6a21\u578b\u7684\u6027\u80fd\u548c\u51c6\u786e\u6027\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u5728\u56fe\u50cf\u5904\u7406\u9886\u57df\uff0c\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u53ef\u4ee5\u7528\u4e8e\u56fe\u50cf\u589e\u5f3a\u3001\u56fe\u50cf\u5206\u5272\u7b49\u4efb\u52a1\u3002\u4f8b\u5982\uff0c\u901a\u8fc7\u4f18\u5316\u56fe\u50cf\u5904\u7406\u7b97\u6cd5\u4e2d\u7684\u53c2\u6570\uff0c\u53ef\u4ee5\u663e\u8457\u63d0\u9ad8\u56fe\u50cf\u5904\u7406\u7684\u6548\u679c\u548c\u6548\u7387\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u81ea\u7136\u8bed\u8a00\u5904\u7406\u4e2d\u4e5f\u6709\u5e7f\u6cdb\u5e94\u7528\u3002\u4f8b\u5982\uff0c\u5728\u6587\u672c\u5206\u7c7b\u3001\u8bed\u4e49\u7406\u89e3\u7b49\u4efb\u52a1\u4e2d\uff0c\u901a\u8fc7\u4f18\u5316\u6a21\u578b\u53c2\u6570\uff0c\u53ef\u4ee5\u63d0\u9ad8\u6a21\u578b\u7684\u6027\u80fd\u548c\u9c81\u68d2\u6027\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u5728\u8def\u5f84\u89c4\u5212\u95ee\u9898\u4e2d\uff0c\u5982\u65c5\u884c\u5546\u95ee\u9898(TSP)\uff0c\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u80fd\u591f\u6709\u6548\u5730\u627e\u5230\u6700\u77ed\u8def\u5f84\u3002\u8fd9\u79cd\u65b9\u6cd5\u4e0d\u9700\u8981\u76ee\u6807\u51fd\u6570\u7684\u5bfc\u6570\u4fe1\u606f\uff0c\u53ea\u9700\u5229\u7528\u76ee\u6807\u51fd\u6570\u503c\u5373\u53ef\u8fdb\u884c\u5168\u5c40\u641c\u7d22\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u89e3\u51b3\u7ec4\u5408\u4f18\u5316\u95ee\u9898\u65b9\u9762\u8868\u73b0\u51fa\u8272\u3002\u4f8b\u5982\uff0c\u5728\u6392\u73ed\u95ee\u9898\u3001\u4f5c\u4e1a\u8f66\u95f4\u8c03\u5ea6\u95ee\u9898\u7b49\u9886\u57df\uff0c\u901a\u8fc7\u4f18\u5316\u7ec4\u5408\u65b9\u6848\uff0c\u53ef\u4ee5\u663e\u8457\u63d0\u9ad8\u95ee\u9898\u7684\u89e3\u51b3\u6548\u7387\u548c\u8d28\u91cf\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u7531\u4e8e\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u7684\u968f\u673a\u6027\u548c\u7075\u6d3b\u6027\uff0c\u5b83\u7279\u522b\u9002\u7528\u4e8e\u975e\u7ebf\u6027\u76ee\u6807\u51fd\u6570\u7684\u4f18\u5316\u95ee\u9898\u3002\u5728\u8fd9\u4e9b\u95ee\u9898\u4e2d\uff0c\u4f20\u7edf\u7684\u4f18\u5316\u7b97\u6cd5\u53ef\u80fd\u9700\u8981\u76ee\u6807\u51fd\u6570\u7684\u5bfc\u6570\u7b49\u8f85\u52a9\u4fe1\u606f\uff0c\u800c\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5219\u4e0d\u9700\u8981\u8fd9\u4e9b\u4fe1\u606f\uff0c\u4ece\u800c\u5728\u6ca1\u6709\u660e\u786e\u76ee\u6807\u51fd\u6570\u7684\u60c5\u51b5\u4e0b\u4e5f\u80fd\u6709\u6548\u8fdb\u884c\u4f18\u5316\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5728\u673a\u5668\u5b66\u4e60\u9886\u57df\u7684\u5e94\u7528\u5341\u5206\u5e7f\u6cdb\uff0c\u5c24\u5176\u662f\u5728\u672a\u660e\u786e\u5b9a\u4e49\u76ee\u6807\u51fd\u6570\u7684\u4f18\u5316\u95ee\u9898\u4e0a\uff0c\u5c55\u73b0\u4e86\u5176\u5f3a\u5927\u7684\u5168\u5c40\u641c\u7d22\u80fd\u529b\u548c\u7075\u6d3b\u6027\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u3000\u3000\u4e94\u3001 \u6a21\u62df\u9000\u706b\u7b97\u6cd5\u6536\u655b\u901f\u5ea6\u6162\u548c\u53c2\u6570\u9009\u62e9\u590d\u6742\u7684\u5177\u4f53\u539f\u56e0\u662f\u4ec0\u4e48\uff0c\u6709\u54ea\u4e9b\u6539\u8fdb\u65b9\u6cd5\u6216\u7b56\u7565\u53ef\u4ee5\u51cf\u8f7b\u8fd9\u4e9b\u95ee\u9898?<\/h2>\n\n\n\n<p>\u3000\u3000\u6a21\u62df\u9000\u706b\u7b97\u6cd5(Simulated Annealing, SA)\u662f\u4e00\u79cd\u5e7f\u6cdb\u5e94\u7528\u4e8e\u4f18\u5316\u95ee\u9898\u7684\u542f\u53d1\u5f0f\u7b97\u6cd5\uff0c\u5176\u6838\u5fc3\u601d\u60f3\u662f\u901a\u8fc7\u6a21\u62df\u91d1\u5c5e\u9000\u706b\u8fc7\u7a0b\u4e2d\u7684\u6e29\u5ea6\u964d\u4f4e\uff0c\u9010\u6b65\u627e\u5230\u5168\u5c40\u6700\u4f18\u89e3\u3002\u7136\u800c\uff0c\u5c3d\u7ba1\u5176\u5728\u7406\u8bba\u4e0a\u5177\u6709\u5f88\u5f3a\u7684\u5168\u5c40\u641c\u7d22\u80fd\u529b\uff0c\u4f46\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u5e38\u5e38\u9762\u4e34\u6536\u655b\u901f\u5ea6\u6162\u548c\u53c2\u6570\u9009\u62e9\u590d\u6742\u7684\u95ee\u9898\u3002\u4ee5\u4e0b\u662f\u8fd9\u4e9b\u95ee\u9898\u7684\u5177\u4f53\u539f\u56e0\u53ca\u76f8\u5e94\u7684\u6539\u8fdb\u65b9\u6cd5\u6216\u7b56\u7565\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u3000\u30001. \u6536\u655b\u901f\u5ea6\u6162\u7684\u539f\u56e0<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000\u521d\u59cb\u6e29\u5ea6\u8fc7\u9ad8\uff1a\u5982\u679c\u521d\u59cb\u6e29\u5ea6\u8bbe\u7f6e\u5f97\u592a\u9ad8\uff0c\u7b97\u6cd5\u4f1a\u82b1\u8d39\u5927\u91cf\u65f6\u95f4\u5728\u9ad8\u6e29\u9636\u6bb5\u8fdb\u884c\u63a2\u7d22\uff0c\u800c\u4e0d\u662f\u5c3d\u5feb\u8fdb\u5165\u4f4e\u6e29\u9636\u6bb5\u5bfb\u627e\u6700\u4f18\u89e3\u3002<\/li>\n\n\n\n<li>\u3000\u3000\u964d\u6e29\u901f\u5ea6\u8fc7\u6162\uff1a\u964d\u6e29\u901f\u5ea6\u8fc7\u6162\u4f1a\u5bfc\u81f4\u7b97\u6cd5\u5728\u4f4e\u6e29\u9636\u6bb5\u505c\u7559\u8f83\u957f\u65f6\u95f4\uff0c\u4ece\u800c\u51cf\u7f13\u6536\u655b\u901f\u5ea6\u3002<\/li>\n\n\n\n<li>\u3000\u3000\u968f\u673a\u6270\u52a8\u4e0d\u8db3\uff1a\u968f\u673a\u6270\u52a8\u7684\u5e45\u5ea6\u548c\u9891\u7387\u4e0d\u5f53\u4e5f\u4f1a\u5f71\u54cd\u6536\u655b\u901f\u5ea6\u3002\u5982\u679c\u6270\u52a8\u592a\u5c0f\uff0c\u7b97\u6cd5\u96be\u4ee5\u8df3\u51fa\u5c40\u90e8\u6700\u4f18\u89e3;\u5982\u679c\u6270\u52a8\u592a\u5927\uff0c\u5219\u53ef\u80fd\u5bfc\u81f4\u7b97\u6cd5\u9677\u5165\u632f\u8361\u72b6\u6001\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u3000\u30002. \u53c2\u6570\u9009\u62e9\u590d\u6742\u7684\u539f\u56e0<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u3000\u3000\u53c2\u6570\u654f\u611f\u6027\uff1a\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u7684\u6027\u80fd\u9ad8\u5ea6\u4f9d\u8d56\u4e8e\u5176\u5173\u952e\u53c2\u6570\uff0c\u5982\u521d\u59cb\u6e29\u5ea6\u3001\u6700\u4f4e\u6e29\u5ea6\u3001\u9a6c\u6c0f\u94fe\u957f\u5ea6\u7b49\u3002\u4e0d\u540c\u95ee\u9898\u548c\u4e0d\u540c\u521d\u59cb\u6761\u4ef6\u4e0b\u7684\u6700\u4f18\u53c2\u6570\u53ef\u80fd\u5927\u4e0d\u76f8\u540c\uff0c\u8fd9\u4f7f\u5f97\u53c2\u6570\u9009\u62e9\u53d8\u5f97\u590d\u6742\u3002<\/li>\n\n\n\n<li>\u3000\u3000\u53c2\u6570\u8c03\u6574\u7b56\u7565\uff1a\u4f20\u7edf\u7684\u6a21\u62df\u9000\u706b\u7b97\u6cd5\u7f3a\u4e4f\u6709\u6548\u7684\u53c2\u6570\u8c03\u6574\u673a\u5236\uff0c\u901a\u5e38\u9700\u8981\u901a\u8fc7\u5927\u91cf\u5b9e\u9a8c\u6765\u786e\u5b9a\u6700\u4f18\u53c2\u6570\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u3000\u30003. \u6539\u8fdb\u65b9\u6cd5\u6216\u7b56\u7565<\/h3>\n\n\n\n<ul 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Annealing, 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