{"id":69853,"date":"2026-02-01T06:05:26","date_gmt":"2026-01-31T22:05:26","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/69853.html"},"modified":"2026-02-01T06:05:26","modified_gmt":"2026-01-31T22:05:26","slug":"%e5%a5%88%e9%a3%9e%e5%b7%a5%e5%8e%82%e7%ae%97%e6%b3%95%e6%8c%91%e6%88%98%e8%b5%9b%e6%8a%80%e6%9c%af%e6%96%87%e7%ab%a0%e5%a4%a7%e7%ba%b22","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/69853.html","title":{"rendered":"\u5948\u98de\u5de5\u5382\u7b97\u6cd5\u6311\u6218\u8d5b\u6280\u672f\u6587\u7ae0\u5927\u7eb22"},"content":{"rendered":"

\u5948\u98de\u5de5\u5382\u7b97\u6cd5\u6311\u6218\u8d5b\u6280\u672f\u6587\u7ae0\u5927\u7eb2<\/h4>\n

\u80cc\u666f\u4e0e\u8d5b\u4e8b\u4ecb\u7ecd<\/h5>\n

\u5948\u98de\u5de5\u5382\u7b97\u6cd5\u6311\u6218\u8d5b\u662f\u7531\u5948\u98de\u516c\u53f8\u4e3b\u529e\u7684\u5168\u7403\u6027\u6280\u672f\u7ade\u8d5b，\u65e8\u5728\u901a\u8fc7\u7b97\u6cd5\u4f18\u5316\u89e3\u51b3\u5b9e\u9645\u5de5\u4e1a\u573a\u666f\u4e2d\u7684\u95ee\u9898\u3002\u8be5\u8d5b\u4e8b\u5438\u5f15\u4e86\u6765\u81ea\u5168\u7403\u7684\u6570\u636e\u79d1\u5b66\u5bb6\u3001\u5de5\u7a0b\u5e08\u548c\u7814\u7a76\u4eba\u5458\u53c2\u4e0e，\u6db5\u76d6\u751f\u4ea7\u8c03\u5ea6\u3001\u8d44\u6e90\u5206\u914d\u3001\u7269\u6d41\u4f18\u5316\u7b49\u65b9\u5411\u3002<\/p>\n

\u6838\u5fc3\u95ee\u9898\u4e0e\u76ee\u6807<\/h5>\n

\u8d5b\u4e8b\u901a\u5e38\u56f4\u7ed5\u5de5\u5382\u8fd0\u8425\u4e2d\u7684\u5173\u952e\u95ee\u9898\u5c55\u5f00，\u5982\u751f\u4ea7\u7ebf\u6548\u7387\u63d0\u5347\u3001\u5e93\u5b58\u7ba1\u7406\u4f18\u5316\u6216\u4f9b\u5e94\u94fe\u6210\u672c\u964d\u4f4e\u3002\u53c2\u8d5b\u8005\u9700\u8bbe\u8ba1\u7b97\u6cd5\u6a21\u578b，\u5728\u7ed9\u5b9a\u7ea6\u675f\u6761\u4ef6\u4e0b\u5b9e\u73b0\u76ee\u6807\u51fd\u6570\u7684\u6700\u4f18\u89e3，\u4f8b\u5982\u6700\u5c0f\u5316\u5ef6\u8fdf\u6216\u6700\u5927\u5316\u541e\u5410\u91cf\u3002<\/p>\n

\u5173\u952e\u6280\u672f\u65b9\u6cd5<\/h5>\n

\u6570\u5b66\u5efa\u6a21 \u91c7\u7528\u7ebf\u6027\u89c4\u5212\u3001\u6574\u6570\u89c4\u5212\u6216\u52a8\u6001\u89c4\u5212\u5c06\u95ee\u9898\u8f6c\u5316\u4e3a\u6570\u5b66\u6a21\u578b\u3002\u4f8b\u5982，\u751f\u4ea7\u8c03\u5ea6\u95ee\u9898\u53ef\u8868\u793a\u4e3a： [ \\\\text{Minimize } \\\\sum_{i=1}^{n} c_i x_i \\\\quad \\\\text{subject to } A x \\\\leq b ]<\/p>\n

\u542f\u53d1\u5f0f\u4e0e\u5143\u542f\u53d1\u5f0f\u7b97\u6cd5 \u9488\u5bf9NP\u96be\u95ee\u9898，\u4f7f\u7528\u9057\u4f20\u7b97\u6cd5\u3001\u6a21\u62df\u9000\u706b\u6216\u8681\u7fa4\u7b97\u6cd5\u5bfb\u627e\u8fd1\u4f3c\u6700\u4f18\u89e3\u3002\u4ee3\u7801\u793a\u4f8b（Python\u4f2a\u4ee3\u7801）：<\/p>\n

def genetic_algorithm(population, fitness_fn, generations):
\n for _ in range(generations):
\n parents = selection(population, fitness_fn)
\n offspring = crossover(parents)
\n population = mutate(offspring)
\n return best_individual(population, fitness_fn)<\/p>\n

\u673a\u5668\u5b66\u4e60\u4e0e\u5f3a\u5316\u5b66\u4e60 \u5728\u52a8\u6001\u73af\u5883\u4e2d\u5e94\u7528Q\u5b66\u4e60\u6216\u6df1\u5ea6\u5f3a\u5316\u5b66\u4e60（DRL）\u8fdb\u884c\u5b9e\u65f6\u51b3\u7b56\u3002\u4f8b\u5982，\u4f7f\u7528DQN\u4f18\u5316\u4ed3\u50a8\u673a\u5668\u4eba\u8def\u5f84：<\/p>\n

class DQNAgent:
\n def __init__(self, state_size, action_size):
\n self.model = self._build_model(state_size, action_size)
\n def _build_model(self, state_size, action_size):
\n model = Sequential()
\n model.add(Dense(24, input_dim=state_size, activation='relu'))
\n model.add(Dense(action_size, activation='linear'))
\n return model<\/p>\n

\u6570\u636e\u5904\u7406\u4e0e\u7279\u5f81\u5de5\u7a0b<\/h5>\n

\u6e05\u6d17\u5de5\u5382\u4f20\u611f\u5668\u6570\u636e（\u5982\u8bbe\u5907\u72b6\u6001\u3001\u8ba2\u5355\u65e5\u5fd7），\u63d0\u53d6\u5173\u952e\u7279\u5f81（\u5982\u6545\u969c\u9891\u7387\u3001\u8ba2\u5355\u4f18\u5148\u7ea7）\u3002\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u9700\u8fdb\u884c\u6ed1\u52a8\u7a97\u53e3\u7edf\u8ba1\u6216\u5085\u91cc\u53f6\u53d8\u6362\u3002<\/p>\n

\u8bc4\u4f30\u6307\u6807\u4e0e\u4f18\u5316\u65b9\u5411<\/h5>\n

\u5e38\u89c1\u6307\u6807\u5305\u62ecmakespan（\u603b\u5b8c\u6210\u65f6\u95f4）\u3001\u8d44\u6e90\u5229\u7528\u7387\u6216\u6210\u672c\u8282\u7ea6\u767e\u5206\u6bd4\u3002\u4f18\u5316\u9700\u5e73\u8861\u8ba1\u7b97\u590d\u6742\u5ea6\u4e0e\u89e3\u51b3\u65b9\u6848\u8d28\u91cf，\u53ef\u80fd\u6d89\u53ca\u591a\u76ee\u6807\u4f18\u5316（Pareto\u524d\u6cbf\u5206\u6790）\u3002<\/p>\n

\u5f80\u5c4a\u4f18\u79c0\u6848\u4f8b<\/h5>\n

\u5206\u6790\u5f80\u5c4a\u83b7\u80dc\u65b9\u6848，\u5982\u67d0\u56e2\u961f\u901a\u8fc7\u6df7\u5408\u6574\u6570\u89c4\u5212\u51cf\u5c11\u67d0\u6c7d\u8f66\u5de5\u538220%\u7684\u5e93\u5b58\u6210\u672c，\u6216\u53e6\u4e00\u56e2\u961f\u4f7f\u7528\u8054\u90a6\u5b66\u4e60\u5728\u8de8\u5de5\u5382\u6570\u636e\u9694\u79bb\u6761\u4ef6\u4e0b\u5b9e\u73b0\u534f\u540c\u4f18\u5316\u3002<\/p>\n

\u53c2\u8d5b\u5efa\u8bae\u4e0e\u8d44\u6e90<\/h5>\n

\u63a8\u8350\u5de5\u5177：Python（PuLP\u3001OR-Tools）\u3001Julia（JuMP）\u3001Apache Spark\u3002\u5b66\u4e60\u8d44\u6e90\u5305\u62ecCoursera\u7684\u300a\u8fd0\u7b79\u5b66\u5bfc\u8bba\u300b\u6216Kaggle\u76f8\u5173\u7ade\u8d5b\u590d\u76d8\u3002<\/p>\n

\u672a\u6765\u8d8b\u52bf<\/h5>\n

\u63a2\u8ba8\u6570\u5b57\u5b6a\u751f\u3001\u91cf\u5b50\u8ba1\u7b97\u7b49\u65b0\u6280\u672f\u5728\u5de5\u4e1a\u7b97\u6cd5\u4e2d\u7684\u5e94\u7528\u6f5c\u529b，\u4ee5\u53ca\u8d5b\u4e8b\u5bf9\u884c\u4e1a\u6807<\/p>\n

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