{"id":49528,"date":"2026-01-17T06:32:08","date_gmt":"2026-01-16T22:32:08","guid":{"rendered":"https:\/\/www.zdsztech.com\/blog\/erp-system-production-scheduling-genetic-algorithm-deep-optimization\/"},"modified":"2026-01-17T06:32:08","modified_gmt":"2026-01-16T22:32:08","slug":"erp-system-production-scheduling-genetic-algorithm-deep-optimization","status":"publish","type":"post","link":"https:\/\/www.zdsztech.com\/blog\/erp-system-production-scheduling-genetic-algorithm-deep-optimization\/","title":{"rendered":"ERP\u7cfb\u7edf\u751f\u4ea7\u6392\u7a0b\u5982\u4f55\u7528\u9057\u4f20\u7b97\u6cd5\u6df1\u5ea6\u4f18\u5316\uff1f"},"content":{"rendered":"<p><img decoding=\"async\" src=\"https:\/\/www.zdsztech.com\/wp-content\/uploads\/2026\/01\/1768602727-a8f7306d75a68aff56b3d24b17ae25eb.jpeg\" alt=\"ERP\u7cfb\u7edf\u751f\u4ea7\u6392\u7a0b\u5982\u4f55\u7528\u9057\u4f20\u7b97\u6cd5\u6df1\u5ea6\u4f18\u5316\uff1f\"><\/p>\n<p>\u5728\u5f53\u4eca\u9ad8\u5ea6\u7ade\u4e89\u7684\u5236\u9020\u4e1a\u73af\u5883\u4e2d\uff0c\u4f01\u4e1a\u7ba1\u7406\u8005\u6b63\u9762\u4e34\u7740\u524d\u6240\u672a\u6709\u7684\u751f\u4ea7\u6392\u7a0b\u6311\u6218\u3002\u591a\u54c1\u79cd\u3001\u5c0f\u6279\u91cf\u8ba2\u5355\u6210\u4e3a\u5e38\u6001\uff0c\u590d\u6742\u7684\u5de5\u5e8f\u8def\u5f84\u3001\u6709\u9650\u7684\u8bbe\u5907\u8d44\u6e90\u3001\u9891\u7e41\u7684\u63d2\u5355\u4e0e\u4ea4\u671f\u53d8\u66f4\uff0c\u5171\u540c\u6784\u6210\u4e86\u4e00\u4e2a\u6781\u5176\u590d\u6742\u7684\u52a8\u6001\u7cfb\u7edf\u3002\u4f20\u7edf\u7684ERP\u7cfb\u7edf\uff0c\u5c3d\u7ba1\u5728\u8d44\u6e90\u8ba1\u5212\u548c\u6570\u636e\u7ba1\u7406\u4e0a\u529f\u4e0d\u53ef\u6ca1\uff0c\u5176\u5185\u7f6e\u7684\u6392\u7a0b\u6a21\u5757\u5f80\u5f80\u4f9d\u8d56\u4e8e\u7b80\u5355\u7684\u89c4\u5219\uff08\u5982\u5148\u8fdb\u5148\u51fa\u3001\u6700\u77ed\u5de5\u65f6\u4f18\u5148\uff09\u6216\u4eba\u5de5\u7ecf\u9a8c\uff0c\u5728\u6c42\u89e3\u8fd9\u7c7bNP-hard\uff08\u975e\u786e\u5b9a\u6027\u591a\u9879\u5f0f\u65f6\u95f4\u56f0\u96be\uff09\u7ec4\u5408\u4f18\u5316\u95ee\u9898\u65f6\uff0c\u663e\u5f97\u529b\u4e0d\u4ece\u5fc3\u3002\u5176\u7ed3\u679c\u5f80\u5f80\u662f\u751f\u4ea7\u5468\u671f\u62c9\u957f\u3001\u8bbe\u5907\u5229\u7528\u7387\u4f4e\u4e0b\u3001\u8ba2\u5355\u4ea4\u4ed8\u5ef6\u8fdf\u4ee5\u53ca\u751f\u4ea7\u6210\u672c\u5c45\u9ad8\u4e0d\u4e0b\uff0c\u8fd9\u5df2\u6210\u4e3a\u5236\u7ea6\u4f01\u4e1a\u6570\u5b57\u5316\u8f6c\u578b\u5411\u7eb5\u6df1\u53d1\u5c55\u7684\u6838\u5fc3\u74f6\u9888\u3002<\/p>\n<p>\u9762\u5bf9\u8fd9\u4e00\u56f0\u5883\uff0c\u4e1a\u754c\u6b63\u5c06\u76ee\u5149\u6295\u5411\u4e00\u7c7b\u6e90\u4e8e\u81ea\u7136\u8fdb\u5316\u7406\u8bba\u7684\u4eff\u751f\u4f18\u5316\u7b97\u6cd5\u2014\u2014\u9057\u4f20\u7b97\u6cd5\uff08Genetic Algorithm, GA\uff09\u3002\u9057\u4f20\u7b97\u6cd5\u6a21\u4eff\u751f\u7269\u8fdb\u5316\u8fc7\u7a0b\u4e2d\u201c\u7269\u7ade\u5929\u62e9\uff0c\u9002\u8005\u751f\u5b58\u201d\u7684\u539f\u5219\uff0c\u901a\u8fc7\u6a21\u62df\u9009\u62e9\u3001\u4ea4\u53c9\u548c\u53d8\u5f02\u7b49\u64cd\u4f5c\uff0c\u5728\u5e9e\u5927\u4e14\u590d\u6742\u7684\u89e3\u7a7a\u95f4\u4e2d\u9ad8\u6548\u5730\u641c\u7d22\u5168\u5c40\u6700\u4f18\u6216\u8fd1\u4f3c\u6700\u4f18\u89e3\u3002\u5b83\u4e0d\u4f9d\u8d56\u4e8e\u95ee\u9898\u7684\u5177\u4f53\u6570\u5b66\u6a21\u578b\uff0c\u5177\u6709\u5f3a\u5927\u7684\u9c81\u68d2\u6027\u548c\u5e76\u884c\u5904\u7406\u80fd\u529b\uff0c\u5c24\u5176\u64c5\u957f\u89e3\u51b3\u4f20\u7edf\u65b9\u6cd5\u96be\u4ee5\u5904\u7406\u7684\u5927\u89c4\u6a21\u3001\u591a\u76ee\u6807\u3001\u591a\u7ea6\u675f\u7684\u7ec4\u5408\u4f18\u5316\u95ee\u9898\uff0c\u800c\u751f\u4ea7\u6392\u7a0b\u6b63\u662f\u5176\u5927\u5c55\u8eab\u624b\u7684\u7406\u60f3\u821e\u53f0\u3002\u5c06\u9057\u4f20\u7b97\u6cd5\u5f15\u5165ERP\u7cfb\u7edf\uff0c\u5e76\u975e\u7b80\u5355\u7684\u6280\u672f\u53e0\u52a0\uff0c\u800c\u662f\u4e00\u573a\u6df1\u523b\u7684\u751f\u4ea7\u7ba1\u7406\u8303\u5f0f\u9769\u547d\uff0c\u65e8\u5728\u7528\u667a\u80fd\u7b97\u6cd5\u9a71\u52a8\u751f\u4ea7\u51b3\u7b56\uff0c\u5c06\u9759\u6001\u3001\u88ab\u52a8\u7684\u8ba1\u5212\u6267\u884c\u8f6c\u53d8\u4e3a\u52a8\u6001\u3001\u81ea\u9002\u5e94\u7684\u667a\u80fd\u4f18\u5316\uff0c\u4ece\u800c\u4e3a\u4f01\u4e1a\u6784\u5efa\u8d77\u654f\u6377\u3001\u9ad8\u6548\u7684\u751f\u4ea7\u6838\u5fc3\u7ade\u4e89\u529b\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E4%B8%80%E3%80%81%E9%81%97%E4%BC%A0%E7%AE%97%E6%B3%95%EF%BC%88Genetic_Algorithm%EF%BC%89%EF%BC%9A%E7%A0%B4%E8%A7%A3%E7%94%9F%E4%BA%A7%E6%8E%92%E7%A8%8B%E9%9A%BE%E9%A2%98%E7%9A%84%E6%A0%B8%E5%BF%83%E9%80%BB%E8%BE%91\"><\/span>\u4e00\u3001\u9057\u4f20\u7b97\u6cd5\uff08Genetic Algorithm\uff09\uff1a\u7834\u89e3\u751f\u4ea7\u6392\u7a0b\u96be\u9898\u7684\u6838\u5fc3\u903b\u8f91<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"1_%E4%BB%80%E4%B9%88%E6%98%AF%E9%81%97%E4%BC%A0%E7%AE%97%E6%B3%95%EF%BC%9F%E4%BB%8E%E7%94%9F%E7%89%A9%E8%BF%9B%E5%8C%96%E7%9C%8B%E7%AE%97%E6%B3%95%E5%8E%9F%E7%90%86\"><\/span>1. \u4ec0\u4e48\u662f\u9057\u4f20\u7b97\u6cd5\uff1f\u4ece\u751f\u7269\u8fdb\u5316\u770b\u7b97\u6cd5\u539f\u7406<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u9057\u4f20\u7b97\u6cd5\uff08Genetic Algorithm, GA\uff09\u662f\u4e00\u79cd\u501f\u9274\u4e86\u751f\u7269\u754c\u81ea\u7136\u9009\u62e9\u548c\u9057\u4f20\u673a\u5236\u7684\u5168\u5c40\u4f18\u5316\u641c\u7d22\u7b97\u6cd5\u3002\u5176\u6838\u5fc3\u601d\u60f3\u6e90\u4e8e\u8fbe\u5c14\u6587\u7684\u8fdb\u5316\u8bba\uff1a\u5728\u4e25\u9177\u7684\u751f\u5b58\u73af\u5883\u4e2d\uff0c\u9002\u5e94\u73af\u5883\u7684\u4e2a\u4f53\u66f4\u6709\u53ef\u80fd\u5b58\u6d3b\u4e0b\u6765\u5e76\u7e41\u884d\u540e\u4ee3\uff0c\u5176\u4f18\u826f\u7684\u57fa\u56e0\uff08Gene\uff09\u5f97\u4ee5\u4f20\u627f\u548c\u7ec4\u5408\uff0c\u4ece\u800c\u4f7f\u6574\u4e2a\u79cd\u7fa4\uff08Population\uff09\u671d\u7740\u66f4\u9002\u5e94\u73af\u5883\u7684\u65b9\u5411\u4e0d\u65ad\u8fdb\u5316\u3002<\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u4e00\u4e2a\u7b80\u5355\u7684\u7c7b\u6bd4\u6765\u7406\u89e3\u5176\u5de5\u4f5c\u539f\u7406\uff1a<\/p>\n<ul>\n<li><strong>\u4e2a\u4f53\uff08Individual\uff09\u4e0e\u67d3\u8272\u4f53\uff08Chromosome\uff09<\/strong>\uff1a\u5728\u751f\u7269\u5b66\u4e2d\uff0c\u6bcf\u4e2a\u751f\u7269\u4e2a\u4f53\u90fd\u5e26\u6709\u4e00\u5957\u72ec\u7279\u7684\u67d3\u8272\u4f53\uff0c\u5b83\u5305\u542b\u4e86\u8be5\u4e2a\u4f53\u7684\u6240\u6709\u9057\u4f20\u4fe1\u606f\u3002\u5728\u9057\u4f20\u7b97\u6cd5\u4e2d\uff0c\u95ee\u9898\u7684\u4e00\u4e2a\u6f5c\u5728\u89e3\u5c31\u88ab\u89c6\u4e3a\u4e00\u4e2a\u201c\u4e2a\u4f53\u201d\uff0c\u800c\u8fd9\u4e2a\u89e3\u7684\u5177\u4f53\u8868\u793a\u5f62\u5f0f\uff08\u901a\u5e38\u662f\u4e00\u4e32\u7f16\u7801\uff09\u5c31\u76f8\u5f53\u4e8e\u5b83\u7684\u201c\u67d3\u8272\u4f53\u201d\u3002<\/li>\n<li><strong>\u57fa\u56e0\uff08Gene\uff09<\/strong>\uff1a\u67d3\u8272\u4f53\u7531\u57fa\u56e0\u7ec4\u6210\uff0c\u6bcf\u4e2a\u57fa\u56e0\u63a7\u5236\u7740\u751f\u7269\u7684\u67d0\u4e2a\u7279\u5b9a\u6027\u72b6\u3002\u5728\u7b97\u6cd5\u4e2d\uff0c\u67d3\u8272\u4f53\u7f16\u7801\u4e32\u4e0a\u7684\u6bcf\u4e00\u4e2a\u5143\u7d20\u5c31\u662f\u4e00\u4e2a\u201c\u57fa\u56e0\u201d\uff0c\u4ee3\u8868\u4e86\u89e3\u7684\u67d0\u4e2a\u7ec4\u6210\u90e8\u5206\u3002<\/li>\n<li><strong>\u79cd\u7fa4\uff08Population\uff09<\/strong>\uff1a\u7531\u591a\u4e2a\u4e2a\u4f53\u7ec4\u6210\u7684\u7fa4\u4f53\u3002\u7b97\u6cd5\u5f00\u59cb\u65f6\uff0c\u4f1a\u968f\u673a\u751f\u6210\u4e00\u4e2a\u5305\u542b\u591a\u4e2a\u6f5c\u5728\u89e3\u7684\u521d\u59cb\u79cd\u7fa4\u3002<\/li>\n<li><strong>\u9002\u5e94\u5ea6\uff08Fitness\uff09<\/strong>\uff1a\u8861\u91cf\u4e2a\u4f53\u9002\u5e94\u73af\u5883\u80fd\u529b\u7684\u6307\u6807\u3002\u5728\u7b97\u6cd5\u4e2d\uff0c\u6211\u4eec\u8bbe\u8ba1\u4e00\u4e2a\u201c\u9002\u5e94\u5ea6\u51fd\u6570\u201d\u6765\u8bc4\u4f30\u6bcf\u4e2a\u89e3\u7684\u4f18\u52a3\u7a0b\u5ea6\u3002\u4e00\u4e2a\u89e3\u8d8a\u597d\uff0c\u5176\u9002\u5e94\u5ea6\u503c\u5c31\u8d8a\u9ad8\u3002<\/li>\n<li><strong>\u8fdb\u5316\u64cd\u4f5c\uff08Evolutionary Operations\uff09<\/strong>\uff1a\n<ul>\n<li><strong>\u9009\u62e9\uff08Selection\uff09<\/strong>\uff1a\u6a21\u62df\u201c\u4f18\u80dc\u52a3\u6c70\u201d\u3002\u9002\u5e94\u5ea6\u9ad8\u7684\u4e2a\u4f53\u6709\u66f4\u5927\u7684\u6982\u7387\u88ab\u9009\u4e2d\uff0c\u53c2\u4e0e\u7e41\u6b96\u4e0b\u4e00\u4ee3\u3002<\/li>\n<li><strong>\u4ea4\u53c9\uff08Crossover\uff09<\/strong>\uff1a\u6a21\u62df\u201c\u57fa\u56e0\u91cd\u7ec4\u201d\u3002\u88ab\u9009\u4e2d\u7684\u4e24\u4e2a\u4e2a\u4f53\uff08\u7236\u4ee3\uff09\u4ea4\u6362\u5b83\u4eec\u67d3\u8272\u4f53\u7684\u90e8\u5206\u7247\u6bb5\uff0c\u4ece\u800c\u4ea7\u751f\u65b0\u7684\u4e2a\u4f53\uff08\u5b50\u4ee3\uff09\u3002\u8fd9\u4e00\u64cd\u4f5c\u65e8\u5728\u7ee7\u627f\u7236\u4ee3\u7684\u4f18\u826f\u57fa\u56e0\uff0c\u5e76\u63a2\u7d22\u65b0\u7684\u89e3\u7ec4\u5408\u3002<\/li>\n<li><strong>\u53d8\u5f02\uff08Mutation\uff09<\/strong>\uff1a\u6a21\u62df\u201c\u57fa\u56e0\u7a81\u53d8\u201d\u3002\u4ee5\u4e00\u4e2a\u5f88\u5c0f\u7684\u6982\u7387\uff0c\u968f\u673a\u6539\u53d8\u4e2a\u4f53\u67d3\u8272\u4f53\u4e0a\u67d0\u4e2a\u57fa\u56e0\u7684\u503c\u3002\u8fd9\u4e3a\u79cd\u7fa4\u5f15\u5165\u4e86\u65b0\u7684\u9057\u4f20\u591a\u6837\u6027\uff0c\u6709\u52a9\u4e8e\u7b97\u6cd5\u8df3\u51fa\u5c40\u90e8\u6700\u4f18\u89e3\uff0c\u53bb\u63a2\u7d22\u66f4\u5e7f\u9614\u7684\u89e3\u7a7a\u95f4\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u6574\u4e2a\u8fc7\u7a0b\u5c31\u50cf\u4e00\u573a\u52a0\u901f\u7248\u7684\u6a21\u62df\u8fdb\u5316\uff1a\u7b97\u6cd5\u4ece\u4e00\u4e2a\u968f\u673a\u7684\u89e3\u79cd\u7fa4\u5f00\u59cb\uff0c\u901a\u8fc7\u4e00\u4ee3\u53c8\u4e00\u4ee3\u7684\u9009\u62e9\u3001\u4ea4\u53c9\u548c\u53d8\u5f02\u64cd\u4f5c\uff0c\u4e0d\u65ad\u6dd8\u6c70\u52a3\u8d28\u89e3\uff0c\u4fdd\u7559\u5e76\u7ec4\u5408\u4f18\u8d28\u89e3\uff0c\u6700\u7ec8\u4f7f\u5f97\u6574\u4e2a\u79cd\u7fa4\u7684\u5e73\u5747\u9002\u5e94\u5ea6\u6301\u7eed\u63d0\u5347\uff0c\u76f4\u81f3\u6536\u655b\u5230\u5305\u542b\u6700\u4f18\u89e3\u6216\u6ee1\u610f\u89e3\u7684\u6c34\u5e73\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"2_%E9%81%97%E4%BC%A0%E7%AE%97%E6%B3%95%E5%A6%82%E4%BD%95%E4%B8%8E%E7%94%9F%E4%BA%A7%E6%8E%92%E7%A8%8B%E9%97%AE%E9%A2%98%EF%BC%88JSP%EF%BC%89%E7%9B%B8%E7%BB%93%E5%90%88%EF%BC%9F\"><\/span>2. \u9057\u4f20\u7b97\u6cd5\u5982\u4f55\u4e0e\u751f\u4ea7\u6392\u7a0b\u95ee\u9898\uff08JSP\uff09\u76f8\u7ed3\u5408\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u751f\u4ea7\u6392\u7a0b\u95ee\u9898\uff0c\u7279\u522b\u662f\u590d\u6742\u7684\u8f66\u95f4\u8c03\u5ea6\u95ee\u9898\uff08Job Shop Scheduling Problem, JSP\uff09\uff0c\u5176\u672c\u8d28\u662f\u5728\u6ee1\u8db3\u4e00\u7cfb\u5217\u7ea6\u675f\uff08\u5982\u5de5\u5e8f\u987a\u5e8f\u3001\u8bbe\u5907\u552f\u4e00\u6027\uff09\u7684\u524d\u63d0\u4e0b\uff0c\u5bfb\u627e\u4e00\u4e2a\u6700\u4f18\u7684\u5de5\u4ef6\u52a0\u5de5\u987a\u5e8f\uff0c\u4ee5\u8fbe\u5230\u67d0\u4e2a\u6216\u591a\u4e2a\u76ee\u6807\uff08\u5982\u6700\u5c0f\u5316\u6700\u5927\u5b8c\u5de5\u65f6\u95f4\u3001\u6700\u5c0f\u5316\u603b\u5ef6\u8fdf\u65f6\u95f4\u7b49\uff09\u3002\u8fd9\u4e0e\u9057\u4f20\u7b97\u6cd5\u7684\u4f18\u5316\u673a\u5236\u5929\u7136\u5951\u5408\u3002<\/p>\n<p>\u7ed3\u5408\u8fc7\u7a0b\u5982\u4e0b\uff1a<\/p>\n<ul>\n<li><strong>\u89e3\u7684\u7f16\u7801\uff08\u67d3\u8272\u4f53\uff09<\/strong>\uff1a\u9996\u5148\uff0c\u9700\u8981\u5c06\u4e00\u4e2a\u5177\u4f53\u7684\u6392\u7a0b\u65b9\u6848\u201c\u7ffb\u8bd1\u201d\u6210\u9057\u4f20\u7b97\u6cd5\u80fd\u591f\u5904\u7406\u7684\u201c\u67d3\u8272\u4f53\u201d\u7f16\u7801\u3002\u6700\u5e38\u7528\u7684\u65b9\u6cd5\u662f<strong>\u57fa\u4e8e\u5de5\u5e8f\u7684\u7f16\u7801<\/strong>\u3002\u4f8b\u5982\uff0c\u5047\u8bbe\u67093\u4e2a\u5de5\u4ef6\uff08J1, J2, J3\uff09\uff0c\u6bcf\u4e2a\u5de5\u4ef6\u67092\u9053\u5de5\u5e8f\u3002\u90a3\u4e48\u4e00\u4e2a\u6392\u7a0b\u65b9\u6848\u53ef\u4ee5\u8868\u793a\u4e3a\u4e00\u4e2a\u957f\u5ea6\u4e3a6\u7684\u57fa\u56e0\u5e8f\u5217\uff0c\u5982 <code>[1, 2, 1, 3, 2, 3]<\/code>\u3002\u8fd9\u4e2a\u5e8f\u5217\u7684\u542b\u4e49\u662f\uff1a\u7b2c\u4e00\u4e2a\u52a0\u5de5\u7684\u5de5\u5e8f\u6765\u81ea\u5de5\u4ef61\uff0c\u7b2c\u4e8c\u4e2a\u6765\u81ea\u5de5\u4ef62\uff0c\u7b2c\u4e09\u4e2a\u518d\u6b21\u6765\u81ea\u5de5\u4ef61\uff08\u5176\u7b2c\u4e8c\u9053\u5de5\u5e8f\uff09\uff0c\u4ee5\u6b64\u7c7b\u63a8\u3002\u5e8f\u5217\u4e2d\u6bcf\u4e2a\u6570\u5b57\uff08\u57fa\u56e0\uff09\u4ee3\u8868\u4e00\u4e2a\u5de5\u4ef6\u7f16\u53f7\uff0c\u6570\u5b57\u51fa\u73b0\u7684\u6b21\u6570\u7b49\u4e8e\u8be5\u5de5\u4ef6\u7684\u5de5\u5e8f\u6570\u3002\u901a\u8fc7\u8fd9\u79cd\u7f16\u7801\uff0c\u4efb\u4f55\u4e00\u4e2a\u6392\u5217\u90fd\u552f\u4e00\u5bf9\u5e94\u7740\u4e00\u4e2a\u53ef\u884c\u7684\u6392\u7a0b\u65b9\u6848\u3002<\/li>\n<li><strong>\u9002\u5e94\u5ea6\u51fd\u6570\uff08\u8bc4\u4f30\u6807\u51c6\uff09<\/strong>\uff1a\u9002\u5e94\u5ea6\u51fd\u6570\u662f\u8fde\u63a5\u6392\u7a0b\u95ee\u9898\u4e0e\u9057\u4f20\u7b97\u6cd5\u7684\u5173\u952e\u6865\u6881\u3002\u5b83\u5c06\u4e00\u4e2a\u7f16\u7801\uff08\u6392\u7a0b\u65b9\u6848\uff09\u4f5c\u4e3a\u8f93\u5165\uff0c\u8f93\u51fa\u4e00\u4e2a\u8bc4\u4ef7\u503c\u3002\u8fd9\u4e2a\u8bc4\u4ef7\u503c\u76f4\u63a5\u53cd\u6620\u4e86\u6392\u7a0b\u65b9\u6848\u7684\u597d\u574f\u3002\u4f8b\u5982\uff0c\u82e5\u4f18\u5316\u76ee\u6807\u662f\u6700\u5c0f\u5316\u6700\u5927\u5b8c\u5de5\u65f6\u95f4\uff08Makespan\uff09\uff0c\u90a3\u4e48\u9002\u5e94\u5ea6\u51fd\u6570\u5c31\u53ef\u4ee5\u8bbe\u8ba1\u4e3a <code>Fitness = 1 \/ Makespan<\/code>\u3002Makespan\u8d8a\u5c0f\uff0c\u6392\u7a0b\u65b9\u6848\u8d8a\u4f18\uff0c\u5176\u9002\u5e94\u5ea6\u503c\u5c31\u8d8a\u9ad8\u3002\u5982\u679c\u9700\u8981\u8003\u8651\u591a\u4e2a\u76ee\u6807\uff0c\u5982\u540c\u65f6\u8003\u8651\u5b8c\u5de5\u65f6\u95f4\u548c\u8bbe\u5907\u5e73\u5747\u5229\u7528\u7387\uff0c\u5219\u53ef\u4ee5\u8bbe\u8ba1\u4e00\u4e2a\u52a0\u6743\u7684\u7efc\u5408\u9002\u5e94\u5ea6\u51fd\u6570\u3002<\/li>\n<li><strong>\u8fdb\u5316\u8fc7\u7a0b\uff08\u5bfb\u627e\u6700\u4f18\u6392\u7a0b\uff09<\/strong>\uff1a\n<ol>\n<li><strong>\u521d\u59cb\u5316<\/strong>\uff1a\u968f\u673a\u751f\u6210\u4e00\u5927\u6279\uff08\u5982100\u4e2a\uff09\u6ee1\u8db3\u57fa\u672c\u7ea6\u675f\u7684\u67d3\u8272\u4f53\u7f16\u7801\uff0c\u6784\u6210\u521d\u59cb\u79cd\u7fa4\u3002<\/li>\n<li><strong>\u8bc4\u4f30<\/strong>\uff1a\u8ba1\u7b97\u79cd\u7fa4\u4e2d\u6bcf\u4e2a\u67d3\u8272\u4f53\uff08\u6392\u7a0b\u65b9\u6848\uff09\u7684\u9002\u5e94\u5ea6\u503c\u3002<\/li>\n<li><strong>\u9009\u62e9\u3001\u4ea4\u53c9\u3001\u53d8\u5f02<\/strong>\uff1a\u6839\u636e\u9002\u5e94\u5ea6\u503c\uff0c\u9ad8\u6982\u7387\u9009\u62e9\u4f18\u79c0\u7684\u6392\u7a0b\u65b9\u6848\u8fdb\u884c\u4ea4\u53c9\uff08\u4ea4\u6362\u90e8\u5206\u5de5\u5e8f\u5e8f\u5217\uff09\uff0c\u4ea7\u751f\u65b0\u7684\u3001\u53ef\u80fd\u66f4\u4f18\u7684\u5b50\u4ee3\u6392\u7a0b\u65b9\u6848\u3002\u5e76\u5bf9\u5b50\u4ee3\u65b9\u6848\u8fdb\u884c\u5c0f\u6982\u7387\u7684\u53d8\u5f02\uff08\u5982\u968f\u673a\u4ea4\u6362\u4e24\u4e2a\u5de5\u5e8f\u7684\u4f4d\u7f6e\uff09\uff0c\u4ee5\u589e\u52a0\u591a\u6837\u6027\u3002<\/li>\n<li><strong>\u8fed\u4ee3<\/strong>\uff1a\u7528\u65b0\u751f\u6210\u7684\u5b50\u4ee3\u66ff\u6362\u6389\u7236\u4ee3\u4e2d\u7684\u52a3\u8d28\u65b9\u6848\uff0c\u5f62\u6210\u65b0\u4e00\u4ee3\u79cd\u7fa4\u3002\u91cd\u590d\u6b65\u9aa42\u548c3\uff0c\u76f4\u5230\u8fbe\u5230\u9884\u8bbe\u7684\u8fed\u4ee3\u6b21\u6570\u6216\u89e3\u7684\u8d28\u91cf\u4e0d\u518d\u663e\u8457\u63d0\u5347\u3002<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<p>\u6700\u7ec8\uff0c\u7b97\u6cd5\u4f1a\u8f93\u51fa\u79cd\u7fa4\u4e2d\u9002\u5e94\u5ea6\u6700\u9ad8\u7684\u90a3\u4e2a\u67d3\u8272\u4f53\uff0c\u5c06\u5176\u89e3\u7801\u540e\uff0c\u5c31\u5f97\u5230\u4e86\u4e00\u4e2a\u7ecf\u8fc7\u6df1\u5ea6\u4f18\u5316\u7684\u3001\u63a5\u8fd1\u5168\u5c40\u6700\u4f18\u7684\u751f\u4ea7\u6392\u7a0b\u8ba1\u5212\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E4%BA%8C%E3%80%81%E6%B7%B1%E5%BA%A6%E8%A7%A3%E6%9E%90%EF%BC%9A%E9%81%97%E4%BC%A0%E7%AE%97%E6%B3%95%E5%9C%A8ERP%E7%94%9F%E4%BA%A7%E6%8E%92%E7%A8%8B%E4%B8%AD%E7%9A%84%E4%BA%94%E6%AD%A5%E6%88%98%E7%95%A5%E5%BA%94%E7%94%A8\"><\/span>\u4e8c\u3001\u6df1\u5ea6\u89e3\u6790\uff1a\u9057\u4f20\u7b97\u6cd5\u5728ERP\u751f\u4ea7\u6392\u7a0b\u4e2d\u7684\u4e94\u6b65\u6218\u7565\u5e94\u7528<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5c06\u9057\u4f20\u7b97\u6cd5\u7684\u7406\u8bba\u6846\u67b6\u5e94\u7528\u4e8eERP\u751f\u4ea7\u6392\u7a0b\uff0c\u9700\u8981\u4e00\u4e2a\u7cfb\u7edf\u5316\u3001\u7ed3\u6784\u5316\u7684\u5b9e\u65bd\u8def\u5f84\u3002\u8fd9\u53ef\u4ee5\u5206\u89e3\u4e3a\u4e94\u4e2a\u5173\u952e\u7684\u6218\u7565\u6b65\u9aa4\uff0c\u6bcf\u4e00\u6b65\u90fd\u76f4\u63a5\u5173\u7cfb\u5230\u6700\u7ec8\u4f18\u5316\u6548\u679c\u7684\u6210\u8d25\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"1_%E6%AD%A5%E9%AA%A4%E4%B8%80%EF%BC%9A%E7%BC%96%E7%A0%81%E4%B8%8E%E7%A7%8D%E7%BE%A4%E5%88%9D%E5%A7%8B%E5%8C%96%E2%80%94%E2%80%94%E5%B0%86%E6%8E%92%E7%A8%8B%E6%96%B9%E6%A1%88%E6%95%B0%E5%AD%97%E5%8C%96\"><\/span>1. \u6b65\u9aa4\u4e00\uff1a\u7f16\u7801\u4e0e\u79cd\u7fa4\u521d\u59cb\u5316\u2014\u2014\u5c06\u6392\u7a0b\u65b9\u6848\u6570\u5b57\u5316<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u8fd9\u662f\u5c06\u73b0\u5b9e\u4e16\u754c\u7684\u6392\u7a0b\u95ee\u9898\u8f6c\u5316\u4e3a\u7b97\u6cd5\u53ef\u8bc6\u522b\u8bed\u8a00\u7684\u7b2c\u4e00\u6b65\uff0c\u5176\u6838\u5fc3\u4efb\u52a1\u662f\u8bbe\u8ba1\u4e00\u79cd\u6709\u6548\u7684\u201c\u67d3\u8272\u4f53\u201d\u7f16\u7801\u65b9\u6848\u3002\u4e00\u4e2a\u597d\u7684\u7f16\u7801\u65b9\u6848\u5fc5\u987b\u6ee1\u8db3\u4e24\u4e2a\u57fa\u672c\u539f\u5219\uff1a<strong>\u5408\u6cd5\u6027<\/strong>\uff08\u786e\u4fdd\u89e3\u7801\u540e\u662f\u53ef\u884c\u7684\u6392\u7a0b\u65b9\u6848\uff09\u548c<strong>\u5b8c\u5907\u6027<\/strong>\uff08\u80fd\u591f\u8986\u76d6\u6240\u6709\u53ef\u80fd\u7684\u6392\u7a0b\u65b9\u6848\uff09\u3002<\/p>\n<ul>\n<li>\n<p><strong>\u7f16\u7801\u65b9\u6848\u9009\u62e9<\/strong>\uff1a\u5bf9\u4e8e\u590d\u6742\u7684\u8f66\u95f4\u8c03\u5ea6\u95ee\u9898\uff0c<strong>\u57fa\u4e8e\u5de5\u5e8f\u7684\u7f16\u7801\uff08Operation-Based Representation\uff09<\/strong> \u662f\u6700\u5e38\u7528\u4e14\u6709\u6548\u7684\u65b9\u6cd5\u3002\u5982\u524d\u6240\u8ff0\uff0c\u4e00\u4e2a\u67d3\u8272\u4f53\u662f\u4e00\u4e2a\u957f\u5ea6\u4e3a <code>\u603b\u5de5\u5e8f\u6570<\/code> \u7684\u6392\u5217\u3002\u4f8b\u5982\uff0c\u67093\u4e2a\u5de5\u4ef6\uff0c\u5de5\u4ef61\u67092\u9053\u5de5\u5e8f\uff0c\u5de5\u4ef62\u67093\u9053\u5de5\u5e8f\uff0c\u5de5\u4ef63\u67091\u9053\u5de5\u5e8f\uff0c\u5219\u67d3\u8272\u4f53\u957f\u5ea6\u4e3a 2+3+1=6\u3002\u4e00\u4e2a\u53ef\u80fd\u7684\u67d3\u8272\u4f53\u662f <code>[2, 1, 2, 1, 3, 2]<\/code>\u3002\u89e3\u7801\u65f6\uff0c\u6211\u4eec\u6309\u987a\u5e8f\u8bfb\u53d6\uff1a<\/p>\n<ul>\n<li>\u7b2c\u4e00\u4e2a <code>2<\/code>\uff1a\u8868\u793a\u6267\u884c\u5de5\u4ef62\u7684\u7b2c1\u9053\u5de5\u5e8f\u3002<\/li>\n<li>\u7b2c\u4e00\u4e2a <code>1<\/code>\uff1a\u8868\u793a\u6267\u884c\u5de5\u4ef61\u7684\u7b2c1\u9053\u5de5\u5e8f\u3002<\/li>\n<li>\u7b2c\u4e8c\u4e2a <code>2<\/code>\uff1a\u8868\u793a\u6267\u884c\u5de5\u4ef62\u7684\u7b2c2\u9053\u5de5\u5e8f\u3002<\/li>\n<li>\u7b2c\u4e8c\u4e2a <code>1<\/code>\uff1a\u8868\u793a\u6267\u884c\u5de5\u4ef61\u7684\u7b2c2\u9053\u5de5\u5e8f\u3002<\/li>\n<li><code>3<\/code>\uff1a\u8868\u793a\u6267\u884c\u5de5\u4ef63\u7684\u7b2c1\u9053\u5de5\u5e8f\u3002<\/li>\n<li>\u7b2c\u4e09\u4e2a <code>2<\/code>\uff1a\u8868\u793a\u6267\u884c\u5de5\u4ef62\u7684\u7b2c3\u9053\u5de5\u5e8f\u3002\u8fd9\u79cd\u7f16\u7801\u5929\u7136\u5730\u6ee1\u8db3\u4e86\u5de5\u5e8f\u7684\u5148\u540e\u7ea6\u675f\uff0c\u56e0\u4e3a\u540c\u4e00\u4e2a\u5de5\u4ef6\u7684\u5de5\u5e8f\u5728\u67d3\u8272\u4f53\u4e2d\u51fa\u73b0\u7684\u987a\u5e8f\uff0c\u5c31\u51b3\u5b9a\u4e86\u5b83\u4eec\u7684\u52a0\u5de5\u987a\u5e8f\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u79cd\u7fa4\u521d\u59cb\u5316<\/strong>\uff1a\u5728\u786e\u5b9a\u7f16\u7801\u65b9\u6848\u540e\uff0c\u9700\u8981\u751f\u6210\u4e00\u4e2a\u521d\u59cb\u7684\u201c\u79cd\u7fa4\u201d\uff0c\u5373\u4e00\u7ec4\u968f\u673a\u7684\u6392\u7a0b\u65b9\u6848\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u4e0d\u80fd\u662f\u5b8c\u5168\u65e0\u5e8f\u7684\u3002\u9ad8\u8d28\u91cf\u7684\u521d\u59cb\u79cd\u7fa4\u53ef\u4ee5\u663e\u8457\u52a0\u901f\u7b97\u6cd5\u7684\u6536\u655b\u901f\u5ea6\u3002\u53ef\u4ee5\u91c7\u7528\u591a\u79cd\u7b56\u7565\u751f\u6210\u521d\u59cb\u89e3\uff0c\u4f8b\u5982\uff1a<\/p>\n<ul>\n<li><strong>\u5b8c\u5168\u968f\u673a\u751f\u6210<\/strong>\uff1a\u968f\u673a\u6253\u4e71\u6240\u6709\u5de5\u5e8f\u7684\u6392\u5217\u7ec4\u5408\u3002<\/li>\n<li><strong>\u57fa\u4e8e\u542f\u53d1\u5f0f\u89c4\u5219\u751f\u6210<\/strong>\uff1a\u53ef\u4ee5\u5148\u7528\u4e00\u4e9b\u4f20\u7edf\u7684\u8c03\u5ea6\u89c4\u5219\uff08\u5982SPT-\u6700\u77ed\u52a0\u5de5\u65f6\u95f4\u4f18\u5148\uff0cEDD-\u6700\u65e9\u4ea4\u8d27\u671f\u4f18\u5148\uff09\u751f\u6210\u51e0\u4e2a\u57fa\u7840\u89e3\uff0c\u7136\u540e\u5bf9\u8fd9\u4e9b\u89e3\u8fdb\u884c\u8f7b\u5fae\u7684\u968f\u673a\u6270\u52a8\uff0c\u5c06\u5b83\u4eec\u4f5c\u4e3a\u521d\u59cb\u79cd\u7fa4\u7684\u4e00\u90e8\u5206\u3002\u8fd9\u6837\u505a\u53ef\u4ee5\u786e\u4fdd\u521d\u59cb\u79cd\u7fa4\u4e2d\u5df2\u7ecf\u5305\u542b\u4e86\u4e00\u4e9b\u8d28\u91cf\u4e0d\u9519\u7684\u201c\u79cd\u5b50\u9009\u624b\u201d\uff0c\u4e3a\u540e\u7eed\u7684\u8fdb\u5316\u63d0\u4f9b\u4e00\u4e2a\u66f4\u9ad8\u7684\u8d77\u70b9\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"2_%E6%AD%A5%E9%AA%A4%E4%BA%8C%EF%BC%9A%E9%80%82%E5%BA%94%E5%BA%A6%E5%87%BD%E6%95%B0%E8%AE%BE%E8%AE%A1%E2%80%94%E2%80%94%E9%87%8F%E5%8C%96%E8%AF%84%E4%BC%B0%E6%8E%92%E7%A8%8B%E6%96%B9%E6%A1%88%E7%9A%84%E4%BC%98%E5%8A%A3\"><\/span>2. \u6b65\u9aa4\u4e8c\uff1a\u9002\u5e94\u5ea6\u51fd\u6570\u8bbe\u8ba1\u2014\u2014\u91cf\u5316\u8bc4\u4f30\u6392\u7a0b\u65b9\u6848\u7684\u4f18\u52a3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u9002\u5e94\u5ea6\u51fd\u6570\u662f\u9057\u4f20\u7b97\u6cd5\u7684\u201c\u6307\u6325\u68d2\u201d\uff0c\u5b83\u5b9a\u4e49\u4e86\u201c\u597d\u201d\u4e0e\u201c\u574f\u201d\u7684\u6807\u51c6\uff0c\u76f4\u63a5\u5f15\u5bfc\u7740\u6574\u4e2a\u79cd\u7fa4\u7684\u8fdb\u5316\u65b9\u5411\u3002\u8bbe\u8ba1\u4e00\u4e2a\u80fd\u51c6\u786e\u53cd\u6620\u4f01\u4e1a\u751f\u4ea7\u76ee\u6807\u7684\u9002\u5e94\u5ea6\u51fd\u6570\u81f3\u5173\u91cd\u8981\u3002<\/p>\n<ul>\n<li><strong>\u5355\u4e00\u76ee\u6807\u4f18\u5316<\/strong>\uff1a\u5982\u679c\u4f01\u4e1a\u7684\u6838\u5fc3\u5173\u5207\u70b9\u662f\u751f\u4ea7\u6548\u7387\uff0c\u90a3\u4e48\u6700\u5e38\u89c1\u7684\u4f18\u5316\u76ee\u6807\u5c31\u662f<strong>\u6700\u5c0f\u5316\u6700\u5927\u5b8c\u5de5\u65f6\u95f4\uff08Makespan\uff09<\/strong>\u3002\u6b64\u65f6\uff0c\u9002\u5e94\u5ea6\u51fd\u6570\u53ef\u4ee5\u7b80\u5355\u5730\u8bbe\u4e3a <code>Fitness = 1 \/ Makespan<\/code>\u3002Makespan\u8d8a\u77ed\uff0c\u65b9\u6848\u8d8a\u597d\uff0c\u9002\u5e94\u5ea6\u503c\u8d8a\u9ad8\u3002<\/li>\n<li><strong>\u591a\u76ee\u6807\u4f18\u5316<\/strong>\uff1a\u5728\u73b0\u5b9e\u751f\u4ea7\u4e2d\uff0c\u76ee\u6807\u5f80\u5f80\u662f\u591a\u5143\u7684\u3002\u4f01\u4e1a\u53ef\u80fd\u5e0c\u671b\u5728\u7f29\u77ed\u751f\u4ea7\u5468\u671f\u7684\u540c\u65f6\uff0c\u8fd8\u8981\u8003\u8651<strong>\u6700\u5c0f\u5316\u8ba2\u5355\u603b\u62d6\u671f\uff08Total Tardiness\uff09<\/strong>\u3001<strong>\u6700\u5927\u5316\u8bbe\u5907\u5e73\u5747\u5229\u7528\u7387\uff08Average Machine Utilization\uff09<\/strong>\u3001<strong>\u6700\u5c0f\u5316\u751f\u4ea7\u6210\u672c\uff08Total Cost\uff09<\/strong> \u7b49\u3002\u8fd9\u65f6\uff0c\u9700\u8981\u8bbe\u8ba1\u4e00\u4e2a\u7efc\u5408\u6027\u7684\u9002\u5e94\u5ea6\u51fd\u6570\uff0c\u6700\u5e38\u7528\u7684\u65b9\u6cd5\u662f<strong>\u52a0\u6743\u6c42\u548c\u6cd5<\/strong>\uff1a<code>Fitness = 1 \/ (w1 * Normalized(Makespan) + w2 * Normalized(Tardiness) + ...)<\/code>\u5176\u4e2d\uff0c<code>w1<\/code>, <code>w2<\/code>... \u662f\u4e0d\u540c\u76ee\u6807\u7684\u6743\u91cd\uff0c\u7531\u4f01\u4e1a\u6839\u636e\u5176\u6218\u7565\u4f18\u5148\u7ea7\u6765\u8bbe\u5b9a\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8e\u6025\u5355\uff0c\u62d6\u671f\u7684\u6743\u91cd <code>w2<\/code> \u5c31\u5e94\u8be5\u8bbe\u7f6e\u5f97\u66f4\u9ad8\u3002<code>Normalized()<\/code> \u8868\u793a\u5bf9\u5404\u76ee\u6807\u503c\u8fdb\u884c\u5f52\u4e00\u5316\u5904\u7406\uff0c\u4ee5\u6d88\u9664\u4e0d\u540c\u91cf\u7eb2\u5e26\u6765\u7684\u5f71\u54cd\u3002\u8fd9\u4e2a\u51fd\u6570\u7684\u7cbe\u786e\u8bbe\u8ba1\uff0c\u662f\u7b97\u6cd5\u80fd\u5426\u771f\u6b63\u89e3\u51b3\u4f01\u4e1a\u5b9e\u9645\u75db\u70b9\u7684\u5173\u952e\u3002<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"3_%E6%AD%A5%E9%AA%A4%E4%B8%89%E4%B8%8E%E5%9B%9B%EF%BC%9A%E9%80%89%E6%8B%A9%E3%80%81%E4%BA%A4%E5%8F%89%E4%B8%8E%E5%8F%98%E5%BC%82%E2%80%94%E2%80%94%E6%A8%A1%E6%8B%9F%E2%80%9C%E4%BC%98%E8%83%9C%E5%8A%A3%E6%B1%B0%E2%80%9D%E4%B8%8E%E2%80%9C%E5%9F%BA%E5%9B%A0%E9%87%8D%E7%BB%84%E2%80%9D\"><\/span>3. \u6b65\u9aa4\u4e09\u4e0e\u56db\uff1a\u9009\u62e9\u3001\u4ea4\u53c9\u4e0e\u53d8\u5f02\u2014\u2014\u6a21\u62df\u201c\u4f18\u80dc\u52a3\u6c70\u201d\u4e0e\u201c\u57fa\u56e0\u91cd\u7ec4\u201d<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u8fd9\u662f\u9057\u4f20\u7b97\u6cd5\u7684\u6838\u5fc3\u8fed\u4ee3\u73af\u8282\uff0c\u901a\u8fc7\u6a21\u62df\u751f\u7269\u8fdb\u5316\u673a\u5236\u6765\u6301\u7eed\u4f18\u5316\u89e3\u7684\u8d28\u91cf\u3002<\/p>\n<ul>\n<li>\n<p><strong>\u9009\u62e9\uff08Selection\uff09<\/strong>\uff1a\u6b64\u6b65\u9aa4\u7684\u76ee\u7684\u662f\u4ece\u5f53\u524d\u79cd\u7fa4\u4e2d\u6311\u9009\u51fa\u4f18\u79c0\u7684\u4e2a\u4f53\uff08\u7236\u4ee3\uff09\u6765\u8fdb\u884c\u7e41\u6b96\u3002\u5e38\u7528\u7684\u9009\u62e9\u7b56\u7565\u662f<strong>\u8f6e\u76d8\u8d4c\u9009\u62e9\u6cd5\uff08Roulette Wheel Selection\uff09<\/strong>\u3002\u60f3\u8c61\u4e00\u4e2a\u8f6e\u76d8\uff0c\u6bcf\u4e2a\u4e2a\u4f53\u5728\u8f6e\u76d8\u4e0a\u5360\u636e\u7684\u6247\u533a\u5927\u5c0f\u4e0e\u5176\u9002\u5e94\u5ea6\u503c\u6210\u6b63\u6bd4\u3002\u9002\u5e94\u5ea6\u8d8a\u9ad8\u7684\u4e2a\u4f53\uff0c\u5176\u6247\u533a\u8d8a\u5927\uff0c\u5728\u8f6c\u52a8\u8f6e\u76d8\u65f6\u88ab\u9009\u4e2d\u7684\u6982\u7387\u4e5f\u8d8a\u9ad8\u3002\u8fd9\u79cd\u65b9\u6cd5\u4fdd\u8bc1\u4e86\u4f18\u826f\u57fa\u56e0\u6709\u66f4\u5927\u7684\u673a\u4f1a\u9057\u4f20\u7ed9\u4e0b\u4e00\u4ee3\uff0c\u540c\u65f6\u53c8\u4e0d\u5b8c\u5168\u627c\u6740\u9002\u5e94\u5ea6\u8f83\u4f4e\u7684\u4e2a\u4f53\uff0c\u4fdd\u7559\u4e86\u79cd\u7fa4\u7684\u591a\u6837\u6027\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u4ea4\u53c9\uff08Crossover\uff09<\/strong>\uff1a\u8fd9\u662f\u4ea7\u751f\u65b0\u89e3\u7684\u4e3b\u8981\u624b\u6bb5\u3002\u5bf9\u4e8e\u57fa\u4e8e\u5de5\u5e8f\u7684\u7f16\u7801\uff0c\u5e38\u7528\u7684\u4ea4\u53c9\u7b97\u5b50\u662f<strong>\u5de5\u5e8f\u4ea4\u53c9\uff08POX, Precedence Operation Crossover\uff09<\/strong> \u6216 <strong>\u987a\u5e8f\u4ea4\u53c9\uff08OX, Order Crossover\uff09<\/strong>\u3002\u4ee5\u987a\u5e8f\u4ea4\u53c9\u4e3a\u4f8b\uff1a<\/p>\n<ol>\n<li>\u968f\u673a\u9009\u62e9\u4e24\u4e2a\u7236\u4ee3\u67d3\u8272\u4f53\uff0c\u5982 P1 = <code>[1, 2, 3, 4, 5, 6]<\/code> \u548c P2 = <code>[4, 1, 5, 2, 6, 3]<\/code>\u3002<\/li>\n<li>\u968f\u673a\u9009\u62e9\u4e00\u4e2a\u4ea4\u53c9\u7247\u6bb5\uff0c\u5982\u4ece\u4f4d\u7f6e3\u52305\u3002P1\u7684\u7247\u6bb5\u662f <code>[3, 4, 5]<\/code>\uff0cP2\u7684\u7247\u6bb5\u662f <code>[5, 2, 6]<\/code>\u3002<\/li>\n<li>\u751f\u6210\u5b50\u4ee3C1\u65f6\uff0c\u5148\u5c06P1\u7684\u4ea4\u53c9\u7247\u6bb5 <code>[3, 4, 5]<\/code> \u590d\u5236\u5230C1\u7684\u5bf9\u5e94\u4f4d\u7f6e\u3002<\/li>\n<li>\u7136\u540e\uff0c\u4eceP2\u4e2d\u6309\u987a\u5e8f\u9009\u62e9\u90a3\u4e9b\u4e0d\u5728\u7247\u6bb5 <code>[3, 4, 5]<\/code> \u4e2d\u7684\u57fa\u56e0\uff0c\u586b\u5145\u5230C1\u7684\u5269\u4f59\u4f4d\u7f6e\u3002P2\u4e2d\u4e0d\u5728\u7684\u57fa\u56e0\u4f9d\u6b21\u662f <code>4, 1, 2, 3<\/code>\u3002\u6240\u4ee5C1\u6700\u7ec8\u4e3a <code>[4, 1, 3, 4, 5, 2, 3]<\/code> (\u6b64\u5904\u4e3e\u4f8b\u6709\u8bef\uff0c\u5e94\u4e3a\u4e0d\u91cd\u590d\u57fa\u56e0)\u3002\u6b63\u786e\u7684\u586b\u5145\u65b9\u5f0f\u662f\uff1aP2\u4e2d\u4e0d\u5728<code>[3,4,5]<\/code>\u7684\u57fa\u56e0\u4e3a<code>[1,2,6]<\/code>\uff0c\u6309P2\u7684\u987a\u5e8f\u586b\u5145C1\u7684\u7a7a\u4f4d\uff0cC1=<code>[1, 2, 3, 4, 5, 6]<\/code>\u3002\u6b63\u786e\u7684\u64cd\u4f5c\u5e94\u8be5\u662f\uff0cC1\u4fdd\u7559P1\u7684<code>[3,4,5]<\/code>\uff0c\u7136\u540e\u4eceP2\u7684\u4ea4\u53c9\u70b9\u540e\u5f00\u59cb\u626b\u63cf\uff0c\u5c06\u4e0d\u5728<code>[3,4,5]<\/code>\u4e2d\u7684\u57fa\u56e0<code>[1]<\/code>\u3001<code>[6]<\/code>\u6309\u987a\u5e8f\u586b\u5165C1\u7684\u7a7a\u4f4d\uff0c\u5f97\u5230C1=<code>[1, 6, 3, 4, 5, 2]<\/code>\u3002\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u5b50\u4ee3\u7ee7\u627f\u4e86\u4e24\u4e2a\u7236\u4ee3\u7684\u90e8\u5206\u5de5\u5e8f\u987a\u5e8f\u7279\u6027\uff0c\u5b9e\u73b0\u4e86\u4f18\u826f\u57fa\u56e0\u7247\u6bb5\u7684\u91cd\u7ec4\u3002<\/li>\n<\/ol>\n<\/li>\n<li>\n<p><strong>\u53d8\u5f02\uff08Mutation\uff09<\/strong>\uff1a\u4e3a\u4e86\u9632\u6b62\u7b97\u6cd5\u8fc7\u65e9\u6536\u655b\u4e8e\u5c40\u90e8\u6700\u4f18\u89e3\uff0c\u9700\u8981\u5f15\u5165\u53d8\u5f02\u64cd\u4f5c\u3002\u5e38\u7528\u7684\u65b9\u6cd5\u662f<strong>\u4ea4\u6362\u53d8\u5f02\uff08Swap Mutation\uff09<\/strong>\uff0c\u5373\u968f\u673a\u9009\u62e9\u67d3\u8272\u4f53\u4e0a\u7684\u4e24\u4e2a\u4f4d\u7f6e\uff0c\u5e76\u4ea4\u6362\u5b83\u4eec\u7684\u57fa\u56e0\u503c\u3002\u4f8b\u5982\uff0c\u5bf9\u67d3\u8272\u4f53 <code>[1, 2, 3, 4, 5, 6]<\/code> \u8fdb\u884c\u53d8\u5f02\uff0c\u968f\u673a\u9009\u4e2d\u4f4d\u7f6e2\u548c5\uff0c\u4ea4\u6362\u540e\u53d8\u4e3a <code>[1, 5, 3, 4, 2, 6]<\/code>\u3002\u53d8\u5f02\u7684\u6982\u7387\u901a\u5e38\u8bbe\u7f6e\u5f97\u5f88\u4f4e\uff08\u59820.01-0.1\uff09\uff0c\u5b83\u50cf\u4e00\u4e2a\u5fae\u5c0f\u7684\u6270\u52a8\uff0c\u5e2e\u52a9\u79cd\u7fa4\u63a2\u7d22\u65b0\u7684\u53ef\u80fd\u6027\u3002<\/p>\n<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"4_%E6%AD%A5%E9%AA%A4%E4%BA%94%EF%BC%9A%E7%BB%88%E6%AD%A2%E6%9D%A1%E4%BB%B6%E4%B8%8E%E8%A7%A3%E7%A0%81%E2%80%94%E2%80%94%E8%8E%B7%E5%BE%97%E6%9C%80%E4%BC%98%E6%88%96%E6%AC%A1%E4%BC%98%E6%8E%92%E7%A8%8B%E8%A7%A3\"><\/span>4. \u6b65\u9aa4\u4e94\uff1a\u7ec8\u6b62\u6761\u4ef6\u4e0e\u89e3\u7801\u2014\u2014\u83b7\u5f97\u6700\u4f18\u6216\u6b21\u4f18\u6392\u7a0b\u89e3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u7b97\u6cd5\u4e0d\u80fd\u65e0\u9650\u8fd0\u884c\u4e0b\u53bb\uff0c\u9700\u8981\u8bbe\u5b9a\u4e00\u4e2a\u660e\u786e\u7684\u7ec8\u6b62\u6761\u4ef6\u3002\u5e38\u89c1\u7684\u7ec8\u6b62\u6761\u4ef6\u5305\u62ec\uff1a<\/p>\n<ul>\n<li><strong>\u8fbe\u5230\u6700\u5927\u8fed\u4ee3\u6b21\u6570<\/strong>\uff1a\u8bbe\u5b9a\u4e00\u4e2a\u56fa\u5b9a\u7684\u8fdb\u5316\u4ee3\u6570\uff0c\u5982200\u4ee3\u3002<\/li>\n<li><strong>\u9002\u5e94\u5ea6\u505c\u6ede<\/strong>\uff1a\u5f53\u8fde\u7eed\u591a\u4ee3\uff08\u598230\u4ee3\uff09\u79cd\u7fa4\u7684\u6700\u4f18\u9002\u5e94\u5ea6\u503c\u6ca1\u6709\u660e\u663e\u6539\u5584\u65f6\uff0c\u8ba4\u4e3a\u7b97\u6cd5\u5df2\u7ecf\u6536\u655b\u3002<\/li>\n<li><strong>\u8fbe\u5230\u76ee\u6807\u503c<\/strong>\uff1a\u5982\u679c\u9884\u5148\u77e5\u9053\u4e00\u4e2a\u53ef\u63a5\u53d7\u7684\u89e3\u7684\u8d28\u91cf\uff08\u5982Makespan\u5c0f\u4e8e\u67d0\u4e2a\u9608\u503c\uff09\uff0c\u4e00\u65e6\u627e\u5230\u6ee1\u8db3\u6761\u4ef6\u7684\u89e3\u5373\u53ef\u7ec8\u6b62\u3002<\/li>\n<\/ul>\n<p>\u5f53\u7b97\u6cd5\u7ec8\u6b62\u65f6\uff0c\u79cd\u7fa4\u4e2d\u9002\u5e94\u5ea6\u6700\u9ad8\u7684\u90a3\u4e2a\u67d3\u8272\u4f53\uff0c\u5c31\u662f\u6211\u4eec\u627e\u5230\u7684\u6700\u4f18\u6216\u6b21\u4f18\u6392\u7a0b\u65b9\u6848\u7684\u7f16\u7801\u3002\u6700\u540e\u4e00\u6b65\u662f<strong>\u89e3\u7801<\/strong>\uff0c\u5373\u5c06\u8fd9\u4e2a\u6700\u4f18\u7f16\u7801 <code>[...\u5de5\u4ef6\u53f7\u5e8f\u5217...]<\/code> \u7ffb\u8bd1\u56de\u5177\u4f53\u7684\u3001\u53ef\u6267\u884c\u7684\u751f\u4ea7\u8ba1\u5212\u3002\u89e3\u7801\u8fc7\u7a0b\u4f1a\u6839\u636e\u7f16\u7801\u7684\u987a\u5e8f\uff0c\u7ed3\u5408\u6bcf\u9053\u5de5\u5e8f\u7684\u52a0\u5de5\u65f6\u95f4\u3001\u6240\u9700\u8bbe\u5907\u7b49\u4fe1\u606f\uff0c\u751f\u6210\u8be6\u7ec6\u7684\u7518\u7279\u56fe\u6216\u751f\u4ea7\u4efb\u52a1\u6e05\u5355\uff0c\u660e\u786e\u6bcf\u4e2a\u5de5\u4ef6\u7684\u6bcf\u9053\u5de5\u5e8f\u5728\u54ea\u4e2a\u65f6\u95f4\u70b9\u3001\u7531\u54ea\u53f0\u8bbe\u5907\u5f00\u59cb\u52a0\u5de5\uff0c\u4ee5\u53ca\u4f55\u65f6\u5b8c\u6210\u3002\u8fd9\u4e2a\u7ed3\u679c\u53ef\u4ee5\u76f4\u63a5\u4e0b\u53d1\u5230\u751f\u4ea7\u8f66\u95f4\u6267\u884c\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E4%B8%89%E3%80%81%E5%AE%9E%E8%B7%B5%E8%93%9D%E5%9B%BE%EF%BC%9A%E5%A6%82%E4%BD%95%E5%9C%A8%E7%8E%B0%E6%9C%89ERP%E7%B3%BB%E7%BB%9F%E4%B8%AD%E9%9B%86%E6%88%90%E4%B8%8E%E5%AE%9E%E6%96%BD%E9%81%97%E4%BC%A0%E7%AE%97%E6%B3%95%E4%BC%98%E5%8C%96%EF%BC%9F\"><\/span>\u4e09\u3001\u5b9e\u8df5\u84dd\u56fe\uff1a\u5982\u4f55\u5728\u73b0\u6709ERP\u7cfb\u7edf\u4e2d\u96c6\u6210\u4e0e\u5b9e\u65bd\u9057\u4f20\u7b97\u6cd5\u4f18\u5316\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5c06\u5148\u8fdb\u7684\u9057\u4f20\u7b97\u6cd5\u4ece\u7406\u8bba\u6a21\u578b\u8f6c\u5316\u4e3a\u4f01\u4e1aERP\u7cfb\u7edf\u4e2d\u7684\u5b9e\u7528\u529f\u80fd\uff0c\u9700\u8981\u6e05\u6670\u7684\u6280\u672f\u8def\u5f84\u89c4\u5212\u548c\u5e73\u53f0\u9009\u62e9\u3002\u4f20\u7edf\u7684\u8f6f\u4ef6\u96c6\u6210\u6a21\u5f0f\u5f80\u5f80\u9762\u4e34\u5f00\u53d1\u5468\u671f\u957f\u3001\u6210\u672c\u9ad8\u3001\u7ef4\u62a4\u96be\u7b49\u8bf8\u591a\u6311\u6218\uff0c\u800c\u4ee5\u65e0\u4ee3\u7801\/\u4f4e\u4ee3\u7801\u5e73\u53f0\u4e3a\u6838\u5fc3\u7684\u5e73\u53f0\u5316\u91cd\u6784\uff0c\u6b63\u6210\u4e3a\u4f01\u4e1a\u5b9e\u73b0\u7b97\u6cd5\u654f\u6377\u843d\u5730\u7684\u65b0\u8303\u5f0f\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"1_%E6%8A%80%E6%9C%AF%E8%B7%AF%E5%BE%84%E9%80%89%E6%8B%A9%EF%BC%9AAPI%E5%AF%B9%E6%8E%A5%E3%80%81%E6%8F%92%E4%BB%B6%E5%BC%80%E5%8F%91%E8%BF%98%E6%98%AF%E5%B9%B3%E5%8F%B0%E5%8C%96%E9%87%8D%E6%9E%84%EF%BC%9F\"><\/span>1. \u6280\u672f\u8def\u5f84\u9009\u62e9\uff1aAPI\u5bf9\u63a5\u3001\u63d2\u4ef6\u5f00\u53d1\u8fd8\u662f\u5e73\u53f0\u5316\u91cd\u6784\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u4f01\u4e1a\u5728\u51b3\u7b56\u5982\u4f55\u96c6\u6210\u9057\u4f20\u7b97\u6cd5\u65f6\uff0c\u901a\u5e38\u9762\u4e34\u4e09\u79cd\u4e3b\u8981\u7684\u6280\u672f\u8def\u5f84\uff0c\u6bcf\u79cd\u8def\u5f84\u5404\u6709\u5176\u9002\u7528\u573a\u666f\u548c\u4f18\u52a3\u52bf\uff1a<\/p>\n<ul>\n<li>\n<p><strong>API\u5bf9\u63a5\uff08API Integration\uff09<\/strong>\uff1a<\/p>\n<ul>\n<li><strong>\u65b9\u5f0f<\/strong>\uff1a\u5c06\u9057\u4f20\u7b97\u6cd5\u5c01\u88c5\u6210\u4e00\u4e2a\u72ec\u7acb\u7684\u5fae\u670d\u52a1\uff08APS\u5f15\u64ce\uff09\uff0c\u901a\u8fc7API\u63a5\u53e3\u4e0e\u73b0\u6709\u7684ERP\u7cfb\u7edf\u8fdb\u884c\u6570\u636e\u4ea4\u4e92\u3002ERP\u7cfb\u7edf\u8d1f\u8d23\u63d0\u4f9b\u751f\u4ea7\u8ba2\u5355\u3001\u5de5\u827a\u8def\u7ebf\u3001\u8d44\u6e90\u72b6\u6001\u7b49\u57fa\u7840\u6570\u636e\uff0c\u8c03\u7528APS\u5f15\u64ce\u8fdb\u884c\u8ba1\u7b97\uff0c\u7136\u540e\u63a5\u6536\u8fd4\u56de\u7684\u4f18\u5316\u6392\u7a0b\u7ed3\u679c\u3002<\/li>\n<li><strong>\u4f18\u70b9<\/strong>\uff1a\u5bf9\u73b0\u6709ERP\u7cfb\u7edf\u4fb5\u5165\u6027\u5c0f\uff0c\u6280\u672f\u89e3\u8026\uff0c\u53ef\u4ee5\u9009\u62e9\u6700\u9002\u5408\u7684\u8bed\u8a00\u548c\u6846\u67b6\u6765\u5f00\u53d1\u7b97\u6cd5\u670d\u52a1\uff0c\u7075\u6d3b\u6027\u9ad8\u3002<\/li>\n<li><strong>\u7f3a\u70b9<\/strong>\uff1a\u9700\u8981\u4e13\u4e1a\u7684\u7b97\u6cd5\u548c\u8f6f\u4ef6\u5f00\u53d1\u56e2\u961f\uff0c\u63a5\u53e3\u7684\u5b9a\u4e49\u3001\u5f00\u53d1\u3001\u6d4b\u8bd5\u548c\u7ef4\u62a4\u6210\u672c\u8f83\u9ad8\u3002\u6570\u636e\u4ea4\u4e92\u7684\u5b9e\u65f6\u6027\u548c\u7a33\u5b9a\u6027\u662f\u5173\u952e\u6311\u6218\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u63d2\u4ef6\u5f00\u53d1\uff08Plugin Development\uff09<\/strong>\uff1a<\/p>\n<ul>\n<li><strong>\u65b9\u5f0f<\/strong>\uff1a\u5982\u679c\u4f01\u4e1a\u4f7f\u7528\u7684ERP\u7cfb\u7edf\u652f\u6301\u4e8c\u6b21\u5f00\u53d1\u6216\u63d2\u4ef6\u751f\u6001\uff08\u5982SAP\u3001Oracle\u7b49\u5927\u578bERP\uff09\uff0c\u53ef\u4ee5\u5728\u5176\u6846\u67b6\u5185\u5f00\u53d1\u4e00\u4e2a\u4e13\u95e8\u7528\u4e8e\u751f\u4ea7\u6392\u7a0b\u4f18\u5316\u7684\u63d2\u4ef6\u6216\u6a21\u5757\u3002<\/li>\n<li><strong>\u4f18\u70b9<\/strong>\uff1a\u4e0eERP\u7cfb\u7edf\u539f\u751f\u96c6\u6210\u5ea6\u9ad8\uff0c\u7528\u6237\u4f53\u9a8c\u7edf\u4e00\uff0c\u6570\u636e\u8c03\u7528\u66f4\u76f4\u63a5\u3002<\/li>\n<li><strong>\u7f3a\u70b9<\/strong>\uff1a\u53d7\u9650\u4e8eERP\u7cfb\u7edf\u7684\u6280\u672f\u67b6\u6784\u548c\u5f00\u53d1\u8bed\u8a00\uff0c\u5f00\u53d1\u81ea\u7531\u5ea6\u8f83\u4f4e\u3002\u63d2\u4ef6\u7684\u6027\u80fd\u548c\u7a33\u5b9a\u6027\u53ef\u80fd\u4f1a\u53d7\u5230\u4e3b\u7cfb\u7edf\u7684\u5f71\u54cd\uff0c\u4e14\u5347\u7ea7\u548c\u7ef4\u62a4\u590d\u6742\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u5e73\u53f0\u5316\u91cd\u6784\uff08Platform-based Reconstruction\uff09<\/strong>\uff1a<\/p>\n<ul>\n<li><strong>\u65b9\u5f0f<\/strong>\uff1a\u653e\u5f03\u5728\u50f5\u5316\u7684\u4f20\u7edfERP\u4e0a\u201c\u6253\u8865\u4e01\u201d\u7684\u601d\u8def\uff0c\u8f6c\u800c\u91c7\u7528\u4e00\u4e2a\u9ad8\u5ea6\u7075\u6d3b\u7684\u65e0\u4ee3\u7801\/\u4f4e\u4ee3\u7801\u5e94\u7528\u642d\u5efa\u5e73\u53f0\uff0c\u5c06ERP\u7684\u6838\u5fc3\u4e1a\u52a1\u6d41\u7a0b\uff08\u5982\u8ba2\u5355\u7ba1\u7406\u3001\u5e93\u5b58\u7ba1\u7406\uff09\u4e0e\u5148\u8fdb\u7684\u6392\u7a0b\u7b97\u6cd5\u5f15\u64ce\u8fdb\u884c\u4e00\u4f53\u5316\u6784\u5efa\u548c\u6df1\u5ea6\u878d\u5408\u3002<\/li>\n<li><strong>\u4f18\u70b9<\/strong>\uff1a\u654f\u6377\u6027\u4e0e\u6269\u5c55\u6027\u6781\u5f3a\uff0c\u80fd\u591f\u6839\u636e\u4f01\u4e1a\u4e1a\u52a1\u7684\u53d8\u5316\u5feb\u901f\u8c03\u6574\u548c\u4f18\u5316\u6392\u7a0b\u903b\u8f91\u3002\u5c06\u7b97\u6cd5\u7684\u96c6\u6210\u4ece\u201c\u786c\u7f16\u7801\u201d\u53d8\u4e3a\u201c\u53ef\u914d\u7f6e\u201d\uff0c\u5927\u5e45\u964d\u4f4e\u6280\u672f\u95e8\u69db\u548c\u957f\u671f\u7ef4\u62a4\u6210\u672c\u3002<\/li>\n<li><strong>\u7f3a\u70b9<\/strong>\uff1a\u53ef\u80fd\u9700\u8981\u5bf9\u73b0\u6709\u4e1a\u52a1\u6d41\u7a0b\u8fdb\u884c\u91cd\u65b0\u68b3\u7406\u548c\u8fc1\u79fb\uff0c\u521d\u671f\u6295\u5165\u76f8\u5bf9\u8f83\u5927\uff0c\u4f46\u957f\u671f\u6765\u770b\u6295\u8d44\u56de\u62a5\u7387\u66f4\u9ad8\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"2_%E5%B9%B3%E5%8F%B0%E5%8C%96%E9%87%8D%E6%9E%84%E7%9A%84%E4%BC%98%E5%8A%BF%EF%BC%9A%E4%BB%A5%E6%94%AF%E9%81%93%E5%B9%B3%E5%8F%B0%E4%B8%BA%E4%BE%8B%E7%9C%8B%E6%97%A0%E4%BB%A3%E7%A0%81%E5%A6%82%E4%BD%95%E8%B5%8B%E8%83%BD%E7%AE%97%E6%B3%95%E8%90%BD%E5%9C%B0\"><\/span>2. \u5e73\u53f0\u5316\u91cd\u6784\u7684\u4f18\u52bf\uff1a\u4ee5\u652f\u9053\u5e73\u53f0\u4e3a\u4f8b\u770b\u65e0\u4ee3\u7801\u5982\u4f55\u8d4b\u80fd\u7b97\u6cd5\u843d\u5730<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5728\u4e0a\u8ff0\u4e09\u79cd\u8def\u5f84\u4e2d\uff0c\u5e73\u53f0\u5316\u91cd\u6784\u6b63\u51ed\u501f\u5176\u72ec\u7279\u7684\u4f18\u52bf\u6210\u4e3a\u8d8a\u6765\u8d8a\u591a\u524d\u77bb\u6027\u4f01\u4e1a\u7684\u9009\u62e9\u3002\u4ee5<strong>\u652f\u9053\u5e73\u53f0<\/strong>\u8fd9\u6837\u7684\u65e0\u4ee3\u7801\u5e94\u7528\u642d\u5efa\u5e73\u53f0\u4e3a\u4f8b\uff0c\u5b83\u4e3a\u9057\u4f20\u7b97\u6cd5\u7684\u96c6\u6210\u4e0e\u5b9e\u65bd\u63d0\u4f9b\u4e86\u5168\u65b0\u7684\u89e3\u51b3\u601d\u8def\uff0c\u5b8c\u7f8e\u89c4\u907f\u4e86\u4f20\u7edf\u65b9\u5f0f\u7684\u8bf8\u591a\u5f0a\u7aef\u3002<\/p>\n<ul>\n<li>\n<p><strong>\u6d41\u7a0b\u5f15\u64ce\u4e0e\u89c4\u5219\u5f15\u64ce\u7684\u534f\u540c<\/strong>\uff1a\u652f\u9053\u5e73\u53f0\u7684\u6838\u5fc3\u5728\u4e8e\u5176\u5f3a\u5927\u7684<strong>\u6d41\u7a0b\u5f15\u64ce<\/strong>\u548c<strong>\u89c4\u5219\u5f15\u64ce<\/strong>\u3002\u4f01\u4e1a\u53ef\u4ee5\u9996\u5148\u5229\u7528\u5176<strong>\u8868\u5355\u5f15\u64ce<\/strong>\uff0c\u901a\u8fc7\u62d6\u62c9\u62fd\u7684\u65b9\u5f0f\u5feb\u901f\u5b9a\u4e49\u751f\u4ea7\u8ba2\u5355\u3001\u5de5\u827a\u8def\u7ebf\u3001\u8bbe\u5907\u8d44\u6e90\u7b49\u6570\u636e\u6a21\u578b\u3002\u7136\u540e\uff0c\u5229\u7528<strong>\u6d41\u7a0b\u5f15\u64ce<\/strong>\uff0c\u5c06\u4ece\u63a5\u5355\u5230\u6392\u4ea7\u3001\u518d\u5230\u751f\u4ea7\u6267\u884c\u548c\u5b8c\u5de5\u5165\u5e93\u7684\u6574\u4e2a\u4e1a\u52a1\u6d41\u7a0b\u7ebf\u4e0a\u5316\u3001\u53ef\u89c6\u5316\u3002\u6700\u5173\u952e\u7684\u662f\uff0c\u9057\u4f20\u7b97\u6cd5\u7684\u8c03\u7528\u53ef\u4ee5\u88ab\u65e0\u7f1d\u5d4c\u5165\u5230\u8fd9\u4e2a\u6d41\u7a0b\u4e2d\u3002<\/p>\n<ul>\n<li><strong>\u89e6\u53d1\u673a\u5236<\/strong>\uff1a\u53ef\u4ee5\u901a\u8fc7<strong>\u89c4\u5219\u5f15\u64ce<\/strong>\u8bbe\u5b9a\u89e6\u53d1\u6761\u4ef6\uff0c\u4f8b\u5982\u201c\u5f53\u65b0\u8ba2\u5355\u8fdb\u5165\u5f85\u6392\u4ea7\u6c60\u201d\u6216\u201c\u5f53\u8f66\u95f4\u7d27\u6025\u63d2\u5355\u65f6\u201d\uff0c\u7cfb\u7edf\u81ea\u52a8\u89e6\u53d1\u6392\u7a0b\u4f18\u5316\u4efb\u52a1\u3002<\/li>\n<li><strong>\u6570\u636e\u4ea4\u4e92<\/strong>\uff1a\u5e73\u53f0\u4f1a\u81ea\u52a8\u4ece\u76f8\u5173\u7684\u4e1a\u52a1\u8868\u5355\u4e2d\u6293\u53d6\u6240\u6709\u5fc5\u8981\u7684\u5b9e\u65f6\u6570\u636e\uff08\u8ba2\u5355\u4fe1\u606f\u3001BOM\u3001\u5e93\u5b58\u3001\u8bbe\u5907\u72b6\u6001\u7b49\uff09\uff0c\u6253\u5305\u53d1\u9001\u7ed9\u540e\u53f0\u7684\u9057\u4f20\u7b97\u6cd5\u5f15\u64ce\u3002<\/li>\n<li><strong>\u7ed3\u679c\u5e94\u7528<\/strong>\uff1a\u7b97\u6cd5\u8ba1\u7b97\u51fa\u7684\u6700\u4f18\u6392\u7a0b\u7ed3\u679c\uff08\u5982\u7518\u7279\u56fe\u6570\u636e\u3001\u8bbe\u5907\u4efb\u52a1\u5217\u8868\uff09\u53ef\u4ee5\u76f4\u63a5\u56de\u5199\u5230\u5e73\u53f0\u7684\u76f8\u5e94\u6570\u636e\u8868\u4e2d\uff0c\u5e76\u901a\u8fc7<strong>\u62a5\u8868\u5f15\u64ce<\/strong>\u8fdb\u884c\u53ef\u89c6\u5316\u5c55\u793a\uff0c\u6216\u901a\u8fc7\u6d41\u7a0b\u5f15\u64ce\u81ea\u52a8\u751f\u6210\u751f\u4ea7\u5de5\u5355\uff0c\u4e0b\u53d1\u7ed9\u76f8\u5173\u5c97\u4f4d\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u964d\u4f4e\u6280\u672f\u95e8\u69db\uff0c\u805a\u7126\u4e1a\u52a1\u903b\u8f91<\/strong>\uff1a\u901a\u8fc7\u652f\u9053\u5e73\u53f0\uff0c\u4f01\u4e1a\u65e0\u9700\u4ece\u96f6\u5f00\u59cb\u7f16\u5199\u590d\u6742\u7684\u540e\u7aef\u670d\u52a1\u548cAPI\u63a5\u53e3\u3002\u5e73\u53f0\u7684\u8fde\u63a5\u5668\u548c\u96c6\u6210\u80fd\u529b\u4f7f\u5f97\u5bf9\u63a5\u4e00\u4e2a\u5916\u90e8\u7684\u7b97\u6cd5\u5f15\u64ce\u53d8\u5f97\u50cf\u914d\u7f6e\u4e00\u4e2a\u6d41\u7a0b\u8282\u70b9\u4e00\u6837\u7b80\u5355\u3002\u8fd9\u610f\u5473\u7740\uff0c\u4f01\u4e1a\u7684IT\u56e2\u961f\u6216\u4e1a\u52a1\u5206\u6790\u5e08\u53ef\u4ee5\u5c06\u66f4\u591a\u7684\u7cbe\u529b\u805a\u7126\u5728\u4f18\u5316\u9002\u5e94\u5ea6\u51fd\u6570\u3001\u8c03\u6574\u7b97\u6cd5\u53c2\u6570\u7b49\u6838\u5fc3\u4e1a\u52a1\u903b\u8f91\u4e0a\uff0c\u800c\u4e0d\u662f\u8017\u8d39\u5728\u7e41\u7410\u7684\u8f6f\u4ef6\u5de5\u7a0b\u95ee\u9898\u4e0a\u3002\u8fd9\u79cd\u6a21\u5f0f\u6781\u5927\u5730\u7f29\u77ed\u4e86\u4ece\u7b97\u6cd5\u7406\u60f3\u5230\u4e1a\u52a1\u4ef7\u503c\u7684\u5b9e\u73b0\u5468\u671f\uff0c\u5b9e\u73b0\u4e86\u771f\u6b63\u7684\u654f\u6377\u5f00\u53d1\u548c\u6301\u7eed\u4f18\u5316\u3002<\/p>\n<\/li>\n<\/ul>\n<h2><span 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href=\"https:\/\/user.zdsztech.com\/toWorkbench?index=2\">\u514d\u8d39\u8bd5\u7528<\/a>\uff0c\u5f00\u542f\u60a8\u4f01\u4e1a\u751f\u4ea7\u529b\u53d8\u9769\u7684\u65b0\u7bc7\u7ae0\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%85%B3%E4%BA%8EERP%E7%94%9F%E4%BA%A7%E6%8E%92%E7%A8%8B%E4%B8%8E%E9%81%97%E4%BC%A0%E7%AE%97%E6%B3%95%E7%9A%84%E5%B8%B8%E8%A7%81%E9%97%AE%E9%A2%98%EF%BC%88FAQ%EF%BC%89\"><\/span>\u5173\u4e8eERP\u751f\u4ea7\u6392\u7a0b\u4e0e\u9057\u4f20\u7b97\u6cd5\u7684\u5e38\u89c1\u95ee\u9898\uff08FAQ\uff09<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"1_%E5%AE%9E%E6%96%BD%E9%81%97%E4%BC%A0%E7%AE%97%E6%B3%95%E4%BC%98%E5%8C%96%E7%94%9F%E4%BA%A7%E6%8E%92%E7%A8%8B%E7%9A%84%E6%88%90%E6%9C%AC%E9%AB%98%E5%90%97%EF%BC%9F\"><\/span>1. \u5b9e\u65bd\u9057\u4f20\u7b97\u6cd5\u4f18\u5316\u751f\u4ea7\u6392\u7a0b\u7684\u6210\u672c\u9ad8\u5417\uff1f<span 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