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efd\u624d\u5f00\u59cb\u590d\u4e60\u7684\u3002\u6211\u7528\u7684\u8d44\u6599\u662f\u300a\u98ce\u4e2d\u52b2\u8349\u300b\uff08\u4e5d\u6708\u5e95\u51fa\uff09\uff0c\u5728\u5b83\u8fd8\u6ca1\u51fa\u7684\u65f6\u5019\uff0c\u6211\u4e70\u4e86\u4e00\u672c\u53bb\u5e74\u7684\u4e8c\u624b\u4e66\uff0c\u5148\u770b\u7684\u662f\u9a6c\u539f\uff0c\u56e0\u4e3a\u9a6c\u539f\u5c31\u90a3\u4e48\u70b9\u4e1c\u897f\uff0c\u4e5f\u4e0d\u4f1a\u6709\u4ec0\u4e48\u53d8\u5316\uff0c\u7b49\u65b0\u4e66\u51fa\u4e86\uff0c\u6211\u5c31\u4e70\u4e86\u65b0\u7684\u300a\u98ce\u4e2d\u52b2\u8349\u300b\uff0c\u8fd8\u6709\u914d\u5957\u7684\u300a1000\u9898\u300b\uff0c\u53c8\u4e70\u4e86\u300a\u8096\u79c0\u83631000\u9898\u300b\u3002\u6211\u662f\u628a\u4e00\u5f20\u7eb8\u5bf9\u6298\u4e24\u534a\uff0c\u5de6\u8fb9\u5199\u77e5\u8bc6\u70b9\uff0c\u5199\u6210\u586b\u7a7a\u9898\uff0c\u53f3\u8fb9\u5199\u7b54\u6848\u3002\u8fd9\u6837\u590d\u4e60\u7684\u65f6\u5019\u53ef\u4ee5\u76d6\u4f4f\u53f3\u8fb9\u7b54\u6848\uff0c\u4e8b\u5b9e\u8bc1\u660e\u5bf9\u9009\u62e9\u9898\u5e2e\u52a9\u5f88\u5927\u3002\u6211\u5927\u6982\u6574\u7406\u4e86\u56db\u4e2a\u5927\u539a\u672c\u5b50\uff0c\u6bcf\u590d\u4e60\u4e00\u7ae0\uff0c\u5c31\u505a\u98ce\u4e2d\u52b2\u8349\u548c\u8096\u79c0\u8363\u76841000\u9898\uff0c\u518d\u6574\u7406\u9519\u9898\u3002\u6709\u4eba\u53ef\u80fd\u89c9\u5f97\u5f88\u8d39\u52b2\uff0c\u4f46\u662f\u6211\u89c9\u5f97\u5f88\u6709\u7528\u54c8\uff0c\u9009\u62e9\u9898\u77e5\u8bc6\u70b9\u8bb0\u5f97\u7279\u522b\u6e05\u695a\uff0c\u5bf9\u6392\u9664\u591a\u9009\u9898\u7684\u5e72\u6270\u9879\u975e\u5e38\u6709\u7528\u3002<\/p>\n<p>\u8003\u7814\u4e13\u4e1a\u8bfe\u590d\u4e60\u7ecf\u9a8c\u6982\u8981<\/p>\n<p>\u8003\u7814\u4e13\u4e1a\u8bfe\u590d\u4e60\u5173\u952e\u5728\u4e8e\u6df1\u5165\u7406\u89e3\u548c\u638c\u63e1\u5404\u4e2a\u77e5\u8bc6\u70b9\uff0c\u8ba9\u77e5\u8bc6\u4f53\u7cfb\u5f62\u6210\u4e00\u4e2a\u5b8c\u6574\u7684\u7ed3\u6784\u3002\u5c31\u8fd0\u7b79\u5b66\u800c\u8a00\uff0c\u4ee5\u4e0b\u662f\u6211\u603b\u7ed3\u7684\u590d\u4e60\u8981\u70b9\u3001\u77e5\u8bc6\u548c\u65b9\u6cd5\uff1a<\/p>\n<p>1. \u7ebf\u6027\u89c4\u5212\uff08Linear Programming\uff0c\u7b80\u79f0LP\uff09<\/p>\n<p>- \u5b66\u4e60\u91cd\u70b9\uff1a\u7406\u89e3\u7ebf\u6027\u89c4\u5212\u7684\u57fa\u672c\u6982\u5ff5\u3001\u57fa\u672c\u6027\u8d28\u548c\u57fa\u672c\u89e3\u7b54\u6b65\u9aa4\uff0c\u638c\u63e1\u6700\u4f18\u89e3\u5b58\u5728\u7684\u6761\u4ef6\u548c\u5b9a\u7406\uff0c\u719f\u6089\u5355\u7eaf\u5f62\u6cd5\u548c\u5bf9\u5076\u7406\u8bba\u3002<\/p>\n<p>- \u590d\u4e60\u65b9\u6cd5\uff1a\u591a\u505a\u6848\u4f8b\u5206\u6790\uff0c\u638c\u63e1\u5e38\u89c1\u7684\u7ebf\u6027\u89c4\u5212\u6a21\u578b\uff1b\u5b66\u4e60\u5404\u79cd\u7ebf\u6027\u89c4\u5212\u7b97\u6cd5\u7684\u539f\u7406\uff0c\u5e76\u80fd\u591f\u719f\u7ec3\u8fd0\u7528\uff1b\u4e86\u89e3\u7ebf\u6027\u89c4\u5212\u5728\u5b9e\u9645\u95ee\u9898\u4e2d\u7684\u5e94\u7528\u3002<\/p>\n<p>2. \u6574\u6570\u89c4\u5212\uff08Integer Programming\uff0c\u7b80\u79f0IP\uff09<\/p>\n<p>- \u5b66\u4e60\u91cd\u70b9\uff1a\u4e86\u89e3\u6574\u6570\u89c4\u5212\u7684\u57fa\u672c\u6982\u5ff5\u548c\u6027\u8d28\uff0c\u638c\u63e1\u6574\u6570\u89c4\u5212\u7684\u7ebf\u6027\u89c4\u5212\u677e\u5f1b\u5ea6\u548c\u7ea6\u675f\u6761\u4ef6\u7684\u7279\u70b9\uff0c\u719f\u6089\u5206\u652f\u5b9a\u754c\u6cd5\u548c\u5272\u5e73\u9762\u6cd5\u3002<\/p>\n<p>- \u590d\u4e60\u65b9\u6cd5\uff1a\u6ce8\u91cd\u7406\u89e3\u6574\u6570\u89c4\u5212\u95ee\u9898\u7684\u7279\u70b9\u548c\u89e3\u9898\u601d\u8def\uff0c\u591a\u505a\u6574\u6570\u89c4\u5212\u6848\u4f8b\u5206\u6790\uff0c\u52a0\u5f3a\u5bf9\u6574\u6570\u89c4\u5212\u7b97\u6cd5\u7684\u638c\u63e1\u548c\u5e94\u7528\u3002<\/p>\n<p>3. \u52a8\u6001\u89c4\u5212\uff08Dynamic Programming\uff0c\u7b80\u79f0DP\uff09<\/p>\n<p>- \u5b66\u4e60\u91cd\u70b9\uff1a\u4e86\u89e3\u52a8\u6001\u89c4\u5212\u7684\u57fa\u672c\u6982\u5ff5\u548c\u6027\u8d28\uff0c\u638c\u63e1\u52a8\u6001\u89c4\u5212\u7684\u57fa\u672c\u89e3\u6cd5\u548c\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\u7684\u6784\u5efa\u65b9\u6cd5\u3002<\/p>\n<p>- \u590d\u4e60\u65b9\u6cd5\uff1a\u638c\u63e1\u52a8\u6001\u89c4\u5212\u95ee\u9898\u7684\u4e00\u822c\u89e3\u9898\u601d\u8def\uff0c\u591a\u505a\u52a8\u6001\u89c4\u5212\u6848\u4f8b\u5206\u6790\uff0c\u52a0\u5f3a\u5bf9\u52a8\u6001\u89c4\u5212\u7b97\u6cd5\u7684\u7406\u89e3\u548c\u5e94\u7528\u3002<\/p>\n<p>4. \u7f51\u7edc\u4f18\u5316\uff08Network Optimization\uff09<\/p>\n<p>- \u5b66\u4e60\u91cd\u70b9\uff1a\u4e86\u89e3\u7f51\u7edc\u4f18\u5316\u7684\u57fa\u672c\u6982\u5ff5\u548c\u6027\u8d28\uff0c\u719f\u6089\u6700\u5c0f\u751f\u6210\u6811\u3001\u6700\u77ed\u8def\u5f84\u3001\u6700\u5927\u6d41\u7b49\u57fa\u672c\u7b97\u6cd5\u548c\u95ee\u9898\u3002<\/p>\n<p>- \u590d\u4e60\u65b9\u6cd5\uff1a\u719f\u6089\u7ecf\u5178\u7684\u7f51\u7edc\u4f18\u5316\u95ee\u9898\uff0c\u591a\u505a\u6848\u4f8b\u5206\u6790\uff0c\u52a0\u5f3a\u5bf9\u5e38\u89c1\u7f51\u7edc\u4f18\u5316\u7b97\u6cd5\u7684\u638c\u63e1\u548c\u5e94\u7528\u3002<\/p>\n<p>5. \u968f\u673a\u6a21\u578b\uff08Stochastic Models\uff09<\/p>\n<p>- \u5b66\u4e60\u91cd\u70b9\uff1a\u4e86\u89e3\u968f\u673a\u6a21\u578b\u7684\u57fa\u672c\u6982\u5ff5\u548c\u6027\u8d28\uff0c\u719f\u6089\u6982\u7387\u8bba\u548c\u6570\u7406\u7edf\u8ba1\u7684\u57fa\u672c\u77e5\u8bc6\uff0c\u638c\u63e1\u5e38\u89c1\u7684\u968f\u673a\u6a21\u578b\u548c\u6c42\u89e3\u65b9\u6cd5\u3002<\/p>\n<p>- 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