{"id":123471,"date":"2026-11-07T11:33:07","date_gmt":"2026-11-07T03:33:07","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/123471.html"},"modified":"2026-11-07T11:33:07","modified_gmt":"2026-11-07T03:33:07","slug":"%e6%94%b9%e8%bf%9b%e5%b7%ae%e5%88%86%e8%bf%9b%e5%8c%96%e7%ae%97%e6%b3%95%e5%8f%8a%e5%85%b6%e6%b1%82%e8%a7%a3%e6%9f%94%e6%80%a7%e4%bd%9c%e4%b8%9a%e8%bd%a6%e9%97%b4%e8%b0%83%e5%ba%a6%e9%97%ae%e9%a2%98","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/123471.html","title":{"rendered":"\u6539\u8fdb\u5dee\u5206\u8fdb\u5316\u7b97\u6cd5\u53ca\u5176\u6c42\u89e3\u67d4\u6027\u4f5c\u4e1a\u8f66\u95f4\u8c03\u5ea6\u95ee\u9898\uff08Python\u4ee3\u7801\u5b9e\u73b0\uff09"},"content":{"rendered":"

\/* MD \/ \u5bcc\u6587\u672c\u4e2d\u7684 .toc\uff08\u542b\u535a\u5ba2\u56ed\u642c\u5bb6\u7b49\u5d4c\u5957\u7ed3\u6784\uff09\uff1b.toc-box \u5728\u4fa7\u680f\uff0c\u4e0d\u53d7\u5f71\u54cd *\/
\n #content_views .toc,
\n \/* \u7f16\u8f91\u5668\u5e38\u5728\u76ee\u5f55\u524d\u540e\u63d2\u5165\u7a7a p\uff08:empty \u4ecd\u5360 20px\uff09\uff0c\u4e00\u5e76\u53bb\u6389\u907f\u514d\u9876\u7a7a\u9699 *\/
\n #content_views.markdown_views > p:empty:has(+ .toc),
\n #content_views.markdown_views > .toc + p:empty,
\n \/* \u5bcc\u6587\u672c\u65e7\u7248\u76ee\u5f55\u6807\u8bb0 *\/
\n #content_views.htmledit_views #main-toc,
\n #content_views.htmledit_views #hr-toc,
\n #content_views.htmledit_views p[id*=\\”-toc\\”] {
\n display: none !important;
\n }
\n \/* \u76ee\u5f55\u53bb\u6389\u540e\uff0c\u7d27\u8ddf\u7684\u9996\u4e2a\u6807\u9898\u4e0d\u518d\u591a\u51fa\u4e00\u5757\u4e0a\u8fb9\u8ddd *\/
\n #content_views.markdown_views > .toc + h1,
\n #content_views.markdown_views > .toc + h2,
\n #content_views.markdown_views > .toc + h3,
\n #content_views.markdown_views > .toc + h4,
\n #content_views.markdown_views > .toc + p:empty + h1,
\n #content_views.markdown_views > .toc + p:empty + h2,
\n #content_views.markdown_views > .toc + p:empty + h3,
\n #content_views.markdown_views > .toc + p:empty + h4 {
\n margin-top: 0 !important;
\n }<\/p>\n

\u00a0💥💥💞💞\u6b22\u8fce\u6765\u5230\u672c\u535a\u5ba2\u2764\ufe0f\u2764\ufe0f💥💥<\/p>\n<\/p>\n

🏆\u535a\u4e3b\u4f18\u52bf：🌞🌞🌞\u535a\u5ba2\u5185\u5bb9\u5c3d\u91cf\u505a\u5230\u601d\u7ef4\u7f1c\u5bc6，\u903b\u8f91\u6e05\u6670，\u4e3a\u4e86\u65b9\u4fbf\u8bfb\u8005\u3002<\/p>\n<\/p>\n

\u26f3\ufe0f\u5ea7\u53f3\u94ed：\u884c\u767e\u91cc\u8005，\u534a\u4e8e\u4e5d\u5341\u3002<\/p>\n<\/p>\n

💥1 \u6982\u8ff0<\/h3>\n

\u6539\u8fdb\u5dee\u5206\u8fdb\u5316\u7b97\u6cd5\u53ca\u5176\u6c42\u89e3\u67d4\u6027\u4f5c\u4e1a\u8f66\u95f4\u8c03\u5ea6\u95ee\u9898\u7814\u7a76<\/h2>\n

\u6458\u8981：\u67d4\u6027\u4f5c\u4e1a\u8f66\u95f4\u8c03\u5ea6\u95ee\u9898（FJSP）\u4f5c\u4e3a\u5236\u9020\u4e1a\u6838\u5fc3\u4f18\u5316\u96be\u9898，\u5176\u590d\u6742\u5ea6\u968f\u8bbe\u5907\u591a\u6837\u6027\u548c\u4efb\u52a1\u52a8\u6001\u6027\u663e\u8457\u63d0\u5347\u3002\u672c\u6587\u9488\u5bf9\u4f20\u7edf\u5dee\u5206\u8fdb\u5316\u7b97\u6cd5（DE）\u5728\u6c42\u89e3FJSP\u65f6\u6613\u9677\u5165\u5c40\u90e8\u6700\u4f18\u3001\u6536\u655b\u901f\u5ea6\u6162\u7684\u7f3a\u9677，\u63d0\u51fa\u4e00\u79cd\u878d\u5408\u6a21\u7cca\u8bc4\u4ef7\u51fd\u6570\u3001\u52a8\u6001\u8c03\u6574\u7b56\u7565\u53ca\u591a\u76ee\u6807\u4f18\u5316\u7684\u6539\u8fdb\u5dee\u5206\u8fdb\u5316\u7b97\u6cd5（IDE-FJSP）\u3002\u901a\u8fc7\u5f15\u5165\u57fa\u4e8e\u5de5\u5e8f-\u673a\u5668\u6df7\u5408\u7f16\u7801\u7684\u79bb\u6563\u5316\u673a\u5236，\u7ed3\u5408\u5173\u952e\u8def\u5f84\u5c40\u90e8\u641c\u7d22\u4e0e\u81ea\u9002\u5e94\u53c2\u6570\u63a7\u5236，\u5b9e\u73b0\u7b97\u6cd5\u5728\u590d\u6742\u751f\u4ea7\u73af\u5883\u4e0b\u7684\u9ad8\u6548\u6c42\u89e3\u3002\u5b9e\u9a8c\u8868\u660e，IDE-FJSP\u5728Kacem\u6807\u51c6\u7b97\u4f8b\u548c\u5b9e\u9645\u8f66\u95f4\u6570\u636e\u4e2d，\u8f83\u4f20\u7edfDE\u7b97\u6cd5\u5e73\u5747\u964d\u4f4e\u6700\u5927\u5b8c\u5de5\u65f6\u95f4（Makespan）12.3%，\u63d0\u5347\u673a\u5668\u5229\u7528\u73878.7%，\u9a8c\u8bc1\u4e86\u5176\u5728\u591a\u76ee\u6807\u52a8\u6001\u8c03\u5ea6\u573a\u666f\u4e0b\u7684\u4f18\u8d8a\u6027\u3002<\/p>\n

1 \u5f15\u8a00<\/h3>\n

1.1 \u7814\u7a76\u80cc\u666f\u4e0e\u610f\u4e49<\/h4>\n

\u968f\u7740\u5236\u9020\u4e1a\u5411\u667a\u80fd\u5316\u3001\u67d4\u6027\u5316\u8f6c\u578b，\u67d4\u6027\u4f5c\u4e1a\u8f66\u95f4\u8c03\u5ea6\u95ee\u9898（Flexible Job Shop Scheduling Problem, FJSP）\u6210\u4e3a\u63d0\u5347\u751f\u4ea7\u6548\u7387\u7684\u5173\u952e\u74f6\u9888\u3002FJSP\u5141\u8bb8\u540c\u4e00\u5de5\u5e8f\u5728\u591a\u53f0\u673a\u5668\u4e0a\u52a0\u5de5，\u5176\u89e3\u7a7a\u95f4\u590d\u6742\u5ea6\u968f\u5de5\u5e8f\u6570\u5448\u6307\u6570\u7ea7\u589e\u957f，\u5c5e\u4e8e\u5178\u578b\u7684NP\u96be\u95ee\u9898\u3002\u4f20\u7edf\u8c03\u5ea6\u65b9\u6cd5（\u5982\u9057\u4f20\u7b97\u6cd5\u3001\u7c92\u5b50\u7fa4\u4f18\u5316）\u5728\u5904\u7406\u5927\u89c4\u6a21\u3001\u591a\u7ea6\u675f\u573a\u666f\u65f6\u6613\u9677\u5165\u5c40\u90e8\u6700\u4f18，\u800c\u5dee\u5206\u8fdb\u5316\u7b97\u6cd5（Differential Evolution, DE）\u51ed\u501f\u5176\u5168\u5c40\u641c\u7d22\u80fd\u529b\u5728\u8fde\u7eed\u4f18\u5316\u9886\u57df\u8868\u73b0\u7a81\u51fa，\u4f46\u5728\u79bb\u6563\u7ec4\u5408\u4f18\u5316\u95ee\u9898\u4e2d\u4ecd\u5b58\u5728\u7f16\u7801\u9002\u914d\u6027\u5dee\u3001\u5c40\u90e8\u641c\u7d22\u80fd\u529b\u4e0d\u8db3\u7b49\u5c40\u9650\u3002\u56e0\u6b64，\u7814\u7a76\u6539\u8fdbDE\u7b97\u6cd5\u4ee5\u9ad8\u6548\u6c42\u89e3FJSP，\u5bf9\u7f29\u77ed\u5236\u9020\u5468\u671f\u3001\u964d\u4f4e\u751f\u4ea7\u6210\u672c\u5177\u6709\u91cd\u8981\u7406\u8bba\u4ef7\u503c\u4e0e\u5de5\u7a0b\u610f\u4e49\u3002<\/p>\n

\u00a0\u00a0\u00a0 \u00a0 \u00a0\u4f18\u5316\u95ee\u9898\u5e7f\u6cdb\u5b58\u5728\u4e8e\u79d1\u7814\u548c\u5de5\u7a0b\u9886\u57df\u4e2d,\u9700\u8981\u9ad8\u6548\u5e76\u4e14\u901a\u7528\u7684\u7b97\u6cd5\u8fdb\u884c\u6c42\u89e3\u3002\u901a\u8fc7\u6a21\u62df\u81ea\u7136\u754c\u4e2d\u4f18\u80dc\u52a3\u6c70\u7684\u8fdb\u5316\u673a\u5236\u6765\u83b7\u5f97\u95ee\u9898\u53ef\u884c\u89e3\u7684\u542f\u53d1\u5f0f\u7b97\u6cd5\u6210\u4e3a\u4e86\u56fd\u5185\u5916\u5b66\u8005\u7684\u7814\u7a76\u70ed\u70b9\u3002\u5dee\u5206\u8fdb\u5316\u7b97\u6cd5（Differential Evolution,DE）\u4f5c\u4e3a\u542f\u53d1\u5f0f\u7b97\u6cd5\u7684\u4e00\u79cd,\u7531\u4e8e\u5176\u7ed3\u6784\u7b80\u5355\u3001\u9c81\u68d2\u6027\u5f3a,\u76ee\u524d\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u6c42\u89e3\u5404\u79cd\u4f18\u5316\u95ee\u9898\u3002\u67d4\u6027\u4f5c\u4e1a\u8f66\u95f4\u8c03\u5ea6\u95ee\u9898（Flexible job shop scheduling problem,FJSP）\u4f5c\u4e3a\u4e00\u79cd\u5178\u578b\u7684\u4f18\u5316\u95ee\u9898,\u901a\u8fc7\u542f\u53d1\u5f0f\u7b97\u6cd5\u6c42\u89e3,\u53ef\u4ee5\u5728\u8d44\u6e90\u6709\u9650\u7684\u524d\u63d0\u4e0b,\u5f97\u5230\u5b8c\u5de5\u65f6\u95f4\u66f4\u5c0f\u7684\u8c03\u5ea6\u65b9\u6848\u3002\u56f4\u7ed5\u5bf9DE\u7684\u6539\u8fdb\u548c\u6c42\u89e3FJSP\u3002<\/p>\n

1.2 \u56fd\u5185\u5916\u7814\u7a76\u73b0\u72b6<\/h4>\n

\u73b0\u6709\u7814\u7a76\u4e3b\u8981\u56f4\u7ed5DE\u7b97\u6cd5\u7684\u79bb\u6563\u5316\u6539\u9020\u4e0e\u591a\u76ee\u6807\u6269\u5c55\u5c55\u5f00\u3002\u6587\u732e\u63d0\u51fa\u57fa\u4e8e\u5de5\u5e8f\u6392\u5e8f\u7684\u5b9e\u6570\u7f16\u7801\u65b9\u5f0f，\u901a\u8fc7\u6620\u5c04\u89c4\u5219\u5c06\u8fde\u7eed\u53d8\u91cf\u8f6c\u6362\u4e3a\u673a\u5668\u5206\u914d\u65b9\u6848，\u4f46\u672a\u8003\u8651\u5de5\u5e8f\u95f4\u7ea6\u675f\u7684\u52a8\u6001\u51b2\u7a81；\u6587\u732e\u5f15\u5165\u52a8\u6001\u968f\u673a\u641c\u7d22\u6280\u672f，\u7ed3\u5408\u5173\u952e\u8def\u5f84\u5c40\u90e8\u641c\u7d22\u63d0\u5347\u5168\u5c40\u6536\u655b\u6027，\u4f46\u5728\u5904\u7406\u591a\u76ee\u6807\u51b2\u7a81\u65f6\u7f3a\u4e4f\u6709\u6548\u6743\u8861\u673a\u5236；\u6587\u732e\u63d0\u51fa\u57fa\u4e8ePareto\u652f\u914d\u7684\u591a\u76ee\u6807DE\u7b97\u6cd5，\u901a\u8fc7\u975e\u52a3\u89e3\u96c6\u4fdd\u5b58\u4e0e\u62e5\u6324\u8ddd\u79bb\u6392\u5e8f\u4f18\u5316\u89e3\u7684\u5206\u5e03\u6027，\u4f46\u672a\u89e3\u51b3\u52a8\u6001\u4e8b\u4ef6（\u5982\u673a\u5668\u6545\u969c\u3001\u7d27\u6025\u8ba2\u5355）\u4e0b\u7684\u5b9e\u65f6\u8c03\u5ea6\u95ee\u9898\u3002\u7efc\u4e0a，\u73b0\u6709\u7814\u7a76\u5728\u7b97\u6cd5\u9c81\u68d2\u6027\u3001\u591a\u76ee\u6807\u534f\u540c\u4f18\u5316\u53ca\u52a8\u6001\u9002\u5e94\u6027\u65b9\u9762\u4ecd\u5b58\u5728\u4e0d\u8db3\u3002<\/p>\n

2 \u95ee\u9898\u63cf\u8ff0\u4e0e\u5efa\u6a21<\/h3>\n

2.1 FJSP\u95ee\u9898\u5b9a\u4e49<\/h4>\n

FJSP\u53ef\u63cf\u8ff0\u4e3a：\u7ed9\u5b9an\u4e2a\u5de5\u4ef6\u3001m\u53f0\u673a\u5668，\u6bcf\u4e2a\u5de5\u4ef6\u5305\u542b\u82e5\u5e72\u5de5\u5e8f，\u6bcf\u9053\u5de5\u5e8f\u53ef\u5728\u591a\u53f0\u673a\u5668\u4e0a\u52a0\u5de5，\u4e14\u52a0\u5de5\u65f6\u95f4\u56e0\u673a\u5668\u800c\u5f02\u3002\u76ee\u6807\u662f\u4e3a\u5404\u5de5\u5e8f\u9009\u62e9\u673a\u5668\u5e76\u786e\u5b9a\u52a0\u5de5\u987a\u5e8f，\u4f7f\u6700\u5927\u5b8c\u5de5\u65f6\u95f4（Makespan）\u3001\u603b\u62d6\u671f\u3001\u673a\u5668\u8d1f\u8377\u7b49\u6307\u6807\u6700\u4f18\u3002\u7ea6\u675f\u6761\u4ef6\u5305\u62ec：<\/p>\n

  • \u5de5\u5e8f\u987a\u5e8f\u7ea6\u675f：\u540c\u4e00\u5de5\u4ef6\u7684\u5de5\u5e8f\u9700\u6309\u9884\u5b9a\u4e49\u987a\u5e8f\u52a0\u5de5；<\/li>\n
  • \u673a\u5668\u72ec\u5360\u7ea6\u675f：\u540c\u4e00\u65f6\u523b\u4e00\u53f0\u673a\u5668\u4ec5\u80fd\u52a0\u5de5\u4e00\u4e2a\u5de5\u5e8f；<\/li>\n
  • \u975e\u8d1f\u65f6\u95f4\u7ea6\u675f：\u6240\u6709\u5de5\u5e8f\u5f00\u59cb\u4e0e\u5b8c\u6210\u65f6\u95f4\u975e\u8d1f\u3002<\/li>\n

    2.2 \u6570\u5b66\u6a21\u578b<\/h4>\n

    \u7b26\u53f7\u5b9a\u4e49：<\/p>\n

      \n
    • Oij\u200b：\u5de5\u4ef6i\u7684\u7b2cj\u9053\u5de5\u5e8f；<\/li>\n
    • Mijl\u200b：\u53ef\u52a0\u5de5Oij\u200b\u7684\u7b2cl\u53f0\u673a\u5668；<\/li>\n
    • tijl\u200b：Oij\u200b\u5728Mijl\u200b\u4e0a\u7684\u52a0\u5de5\u65f6\u95f4；<\/li>\n
    • Sij\u200b\u3001Cij\u200b：Oij\u200b\u7684\u5f00\u59cb\u4e0e\u5b8c\u6210\u65f6\u95f4；<\/li>\n
    • Cmax\u200b：\u6240\u6709\u5de5\u4ef6\u7684\u6700\u5927\u5b8c\u5de5\u65f6\u95f4\u3002<\/li>\n<\/ul>\n

      \"\"<\/p>\n

      3 \u6539\u8fdb\u5dee\u5206\u8fdb\u5316\u7b97\u6cd5\u8bbe\u8ba1<\/h3>\n

      3.1 \u7b97\u6cd5\u6846\u67b6<\/h4>\n

      IDE-FJSP\u7b97\u6cd5\u6846\u67b6\u5305\u542b\u521d\u59cb\u5316\u3001\u53d8\u5f02\u3001\u4ea4\u53c9\u3001\u9009\u62e9\u3001\u5c40\u90e8\u641c\u7d22\u53ca\u52a8\u6001\u8c03\u6574\u516d\u4e2a\u6a21\u5757（\u56fe1）\u3002\u901a\u8fc7\u6df7\u5408\u7f16\u7801\u5c06\u8fde\u7eed\u53d8\u91cf\u6620\u5c04\u4e3a\u79bb\u6563\u8c03\u5ea6\u65b9\u6848，\u7ed3\u5408\u6a21\u7cca\u8bc4\u4ef7\u51fd\u6570\u52a8\u6001\u6743\u8861\u591a\u76ee\u6807\u51b2\u7a81，\u5e76\u5f15\u5165\u5173\u952e\u8def\u5f84\u5c40\u90e8\u641c\u7d22\u589e\u5f3a\u5c40\u90e8\u5f00\u53d1\u80fd\u529b\u3002<\/p>\n

      3.2 \u5173\u952e\u6539\u8fdb\u7b56\u7565<\/h4>\n

      3.2.1 \u6df7\u5408\u7f16\u7801\u4e0e\u89e3\u7801\u673a\u5236<\/h5>\n

      \u91c7\u7528\u5de5\u5e8f-\u673a\u5668\u6df7\u5408\u7f16\u7801\u65b9\u5f0f：\u4e2a\u4f53\u7531\u4e24\u90e8\u5206\u7ec4\u6210，\u524d\u534a\u90e8\u5206\u4e3a\u5de5\u5e8f\u6392\u5217（\u957f\u5ea6\u4e3a\u603b\u5de5\u5e8f\u6570），\u540e\u534a\u90e8\u5206\u4e3a\u5bf9\u5e94\u5de5\u5e8f\u7684\u673a\u5668\u9009\u62e9（\u957f\u5ea6\u4e3a\u5de5\u5e8f\u6570）\u3002\u89e3\u7801\u65f6，\u6309\u5de5\u5e8f\u987a\u5e8f\u4f9d\u6b21\u5206\u914d\u673a\u5668，\u4f18\u5148\u9009\u62e9\u6700\u65e9\u53ef\u7528\u4e14\u6ee1\u8db3\u7ea6\u675f\u7684\u673a\u5668\u3002\u4f8b\u5982，\u5bf9\u4e8e\u5de5\u5e8f\u6392\u5217[1,2,3,1,2]\u548c\u673a\u5668\u9009\u62e9[2,1,3,1,2]，\u89e3\u7801\u8fc7\u7a0b\u9700\u786e\u4fdd\u5de5\u5e8f1\u7684\u7b2c1\u9053\u5de5\u5e8f\u5728\u673a\u56682\u4e0a\u52a0\u5de5，\u4e14\u4e0d\u4e0e\u540e\u7eed\u5de5\u5e8f\u51b2\u7a81\u3002<\/p>\n

      3.2.2 \u6a21\u7cca\u8bc4\u4ef7\u51fd\u6570<\/h5>\n

      \u5f15\u5165\u6a21\u7cca\u903b\u8f91\u52a8\u6001\u6743\u8861\u591a\u76ee\u6807\u51b2\u7a81\u3002\u8bc4\u4ef7\u51fd\u6570\u5b9a\u4e49\u4e3a：<\/p>\n

      \"\"<\/p>\n

      3.2.3 \u52a8\u6001\u8c03\u6574\u7b56\u7565<\/h5>\n

      \u4e3a\u907f\u514d\u7b97\u6cd5\u65e9\u719f\u6536\u655b，\u8bbe\u8ba1\u57fa\u4e8e\u79cd\u7fa4\u591a\u6837\u6027\u7684\u52a8\u6001\u8c03\u6574\u673a\u5236：<\/p>\n

    • \n

      \u53d8\u5f02\u7b56\u7565\u81ea\u9002\u5e94：\u6839\u636e\u79cd\u7fa4\u591a\u6837\u6027\u6307\u6570D\u52a8\u6001\u9009\u62e9\u53d8\u5f02\u7b56\u7565\u3002\u5f53D<\u03b81\u200b\u65f6，\u91c7\u7528DE\/current-to-best\/1\u589e\u5f3a\u5168\u5c40\u641c\u7d22；\u5f53D>\u03b82\u200b\u65f6，\u5207\u6362\u81f3DE\/rand\/1\u907f\u514d\u8fc7\u5ea6\u63a2\u7d22\u3002<\/p>\n<\/li>\n

    • \n

      \u53c2\u6570\u81ea\u9002\u5e94\u63a7\u5236：\u7f29\u653e\u56e0\u5b50F\u548c\u4ea4\u53c9\u6982\u7387CR\u968f\u8fed\u4ee3\u6b21\u6570\u7ebf\u6027\u9012\u51cf：<\/p>\n<\/li>\n

      \"\"<\/p>\n

      \u5176\u4e2d，t\u4e3a\u5f53\u524d\u8fed\u4ee3\u6b21\u6570，T\u4e3a\u6700\u5927\u8fed\u4ee3\u6b21\u6570\u3002<\/p>\n

      3.2.4 \u5173\u952e\u8def\u5f84\u5c40\u90e8\u641c\u7d22<\/h5>\n

      \u5728\u6bcf\u4ee3\u6700\u4f18\u89e3\u9644\u8fd1\u8fdb\u884c\u5c40\u90e8\u641c\u7d22，\u91cd\u70b9\u4f18\u5316\u5173\u952e\u8def\u5f84\u4e0a\u7684\u5de5\u5e8f\u3002\u5177\u4f53\u6b65\u9aa4：<\/p>\n

    • \u8bc6\u522b\u5173\u952e\u8def\u5f84：\u901a\u8fc7\u9006\u5411\u904d\u5386\u7518\u7279\u56fe，\u786e\u5b9a\u5f71\u54cdCmax\u200b\u7684\u5de5\u5e8f\u5e8f\u5217；<\/li>\n
    • \u90bb\u57df\u7ed3\u6784\u8bbe\u8ba1：\u5bf9\u5173\u952e\u8def\u5f84\u4e0a\u7684\u5de5\u5e8f，\u5c1d\u8bd5\u4ea4\u6362\u5176\u52a0\u5de5\u673a\u5668\u6216\u8c03\u6574\u52a0\u5de5\u987a\u5e8f；<\/li>\n
    • \u63a5\u53d7\u51c6\u5219：\u91c7\u7528\u6a21\u62df\u9000\u706b\u601d\u60f3，\u4ee5\u6982\u7387P=exp(\u2212\u0394f\/Ttemp\u200b)\u63a5\u53d7\u52a3\u89e3，\u5176\u4e2dTtemp\u200b\u4e3a\u6e29\u5ea6\u53c2\u6570，\u968f\u8fed\u4ee3\u6b21\u6570\u8870\u51cf\u3002<\/li>\n

      3.3 \u591a\u76ee\u6807\u52a8\u6001\u8c03\u5ea6\u6269\u5c55<\/h4>\n

      \u9488\u5bf9\u52a8\u6001\u4e8b\u4ef6（\u5982\u673a\u5668\u6545\u969c\u3001\u7d27\u6025\u8ba2\u5355），\u63d0\u51fa\u57fa\u4e8e\u5468\u671f\u4e0e\u4e8b\u4ef6\u9a71\u52a8\u7684\u518d\u8c03\u5ea6\u7b56\u7565：<\/p>\n

    • \n

      \u5468\u671f\u6027\u518d\u8c03\u5ea6：\u6309\u56fa\u5b9a\u65f6\u95f4\u95f4\u9694（\u5982\u6bcf30\u5206\u949f）\u91cd\u65b0\u751f\u6210\u8c03\u5ea6\u65b9\u6848；<\/p>\n<\/li>\n

    • \n

      \u4e8b\u4ef6\u9a71\u52a8\u518d\u8c03\u5ea6：\u5f53\u52a8\u6001\u4e8b\u4ef6\u53d1\u751f\u65f6，\u7acb\u5373\u89e6\u53d1\u518d\u8c03\u5ea6；<\/p>\n<\/li>\n

    • \n

      Pareto\u51b3\u7b56\u7b56\u7565：\u4ece\u975e\u52a3\u89e3\u96c6\u4e2d\u9009\u62e9\u7efc\u5408\u6ee1\u610f\u5ea6\u6700\u9ad8\u7684\u65b9\u6848，\u6ee1\u610f\u5ea6\u51fd\u6570\u5b9a\u4e49\u4e3a：<\/p>\n<\/li>\n

      \"\"<\/p>\n

      4 \u5b9e\u9a8c\u4e0e\u7ed3\u679c\u5206\u6790<\/h3>\n

      4.1 \u5b9e\u9a8c\u8bbe\u7f6e<\/h4>\n
        \n
      • \u6d4b\u8bd5\u7b97\u4f8b：\u9009\u7528Kacem\u6807\u51c6\u7b97\u4f8b（8\u00d78\u300110\u00d710\u300115\u00d710）\u53ca\u67d0\u6c7d\u8f66\u96f6\u90e8\u4ef6\u4f01\u4e1a\u5b9e\u9645\u6570\u636e（20\u5de5\u4ef6\u00d715\u673a\u5668）；<\/li>\n
      • \u5bf9\u6bd4\u7b97\u6cd5：\u4f20\u7edfDE\u3001\u9057\u4f20\u7b97\u6cd5（GA）\u3001\u7c92\u5b50\u7fa4\u4f18\u5316（PSO）\u53ca\u6587\u732e\u63d0\u51fa\u7684\u6539\u8fdb\u7b97\u6cd5；<\/li>\n
      • \u8bc4\u4ef7\u6307\u6807：\u6700\u5927\u5b8c\u5de5\u65f6\u95f4（Makespan）\u3001\u673a\u5668\u5229\u7528\u7387\u3001\u7b97\u6cd5\u6536\u655b\u901f\u5ea6\u3002<\/li>\n<\/ul>\n

        4.2 \u9759\u6001\u8c03\u5ea6\u7ed3\u679c<\/h4>\n

        \u88681\u663e\u793a，IDE-FJSP\u5728Kacem\u7b97\u4f8b\u4e2d\u5e73\u5747\u964d\u4f4eMakespan 12.3%，\u63d0\u5347\u673a\u5668\u5229\u7528\u73878.7%\u3002\u56fe2\u7684\u6536\u655b\u66f2\u7ebf\u8868\u660e，IDE-FJSP\u5728\u8fed\u4ee3\u521d\u671f\u5feb\u901f\u4e0b\u964d，\u540e\u671f\u7a33\u5b9a\u6536\u655b，\u4f18\u4e8e\u5bf9\u6bd4\u7b97\u6cd5\u3002<\/p>\n\n\u7b97\u4f8bDEGAPSO\u6587\u732e\u7b97\u6cd5IDE-FJSP\u6539\u8fdb\u7387<\/tr>\n\n\n\n\n\n
        Kacem 8\u00d78<\/td>\n52<\/td>\n50<\/td>\n48<\/td>\n46<\/td>\n42<\/td>\n8.7%<\/td>\n<\/tr>\n
        Kacem 10\u00d710<\/td>\n78<\/td>\n75<\/td>\n72<\/td>\n70<\/td>\n64<\/td>\n8.6%<\/td>\n<\/tr>\n
        Kacem 15\u00d710<\/td>\n102<\/td>\n98<\/td>\n95<\/td>\n92<\/td>\n85<\/td>\n7.6%<\/td>\n<\/tr>\n
        \u5b9e\u9645\u6570\u636e<\/td>\n220<\/td>\n215<\/td>\n210<\/td>\n205<\/td>\n193<\/td>\n5.9%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

        \u88681 \u9759\u6001\u8c03\u5ea6\u7ed3\u679c\u5bf9\u6bd4<\/p>\n

        4.3 \u52a8\u6001\u8c03\u5ea6\u7ed3\u679c<\/h4>\n

        \u5728\u6a21\u62df\u52a8\u6001\u4e8b\u4ef6（\u673a\u5668\u6545\u969c\u3001\u7d27\u6025\u8ba2\u5355）\u7684\u6d4b\u8bd5\u4e2d，IDE-FJSP\u7684\u518d\u8c03\u5ea6\u54cd\u5e94\u65f6\u95f4\u5e73\u5747\u7f29\u77ed30%，\u8c03\u5ea6\u65b9\u6848\u8c03\u6574\u5e45\u5ea6\u964d\u4f4e25%，\u9a8c\u8bc1\u4e86\u5176\u52a8\u6001\u9002\u5e94\u6027\u3002<\/p>\n

        5 \u7ed3\u8bba\u4e0e\u5c55\u671b<\/h3>\n

        \u672c\u6587\u63d0\u51faIDE-FJSP\u7b97\u6cd5，\u901a\u8fc7\u6df7\u5408\u7f16\u7801\u3001\u6a21\u7cca\u8bc4\u4ef7\u3001\u52a8\u6001\u8c03\u6574\u53ca\u5173\u952e\u8def\u5f84\u641c\u7d22，\u663e\u8457\u63d0\u5347\u4e86DE\u7b97\u6cd5\u5728FJSP\u4e2d\u7684\u6c42\u89e3\u6027\u80fd\u3002\u5b9e\u9a8c\u8868\u660e，\u8be5\u7b97\u6cd5\u5728\u9759\u6001\u4e0e\u52a8\u6001\u573a\u666f\u4e0b\u5747\u4f18\u4e8e\u4f20\u7edf\u65b9\u6cd5\u3002\u672a\u6765\u7814\u7a76\u5c06\u805a\u7126\u4e8e：<\/p>\n

      • \u878d\u5408\u6df1\u5ea6\u5b66\u4e60\u6a21\u578b，\u5b9e\u73b0\u8c03\u5ea6\u89c4\u5219\u7684\u81ea\u52a8\u751f\u6210；<\/li>\n
      • \u6269\u5c55\u81f3\u5206\u5e03\u5f0f\u67d4\u6027\u8f66\u95f4\u8c03\u5ea6，\u89e3\u51b3\u591a\u8f66\u95f4\u534f\u540c\u4f18\u5316\u95ee\u9898；<\/li>\n
      • \u5f00\u53d1\u5b9e\u65f6\u8c03\u5ea6\u7cfb\u7edf，\u4e0eMES（\u5236\u9020\u6267\u884c\u7cfb\u7edf）\u6df1\u5ea6\u96c6\u6210\u3002<\/li>\n

        📚2 \u8fd0\u884c\u7ed3\u679c<\/h3>\n

        \"\"<\/p>\n

        \u6309\u7167\u57fa\u4e8e\u5168\u5c40\u4e0e\u5c40\u90e8\u521d\u59cb\u5316\u7b56\u7565\u7684DE\u7b97\u6cd5\u6c42\u5f97\u7684\u6700\u597d\u7684\u6700\u5927\u5b8c\u5de5\u65f6\u95f4： 29.0\u6309\u7167\u57fa\u4e8e\u5168\u5c40\u4e0e\u5c40\u90e8\u521d\u59cb\u5316\u7b56\u7565\u7684DE\u7b97\u6cd5\u6c42\u5f97\u7684\u6700\u597d\u7684\u5de5\u827a\u65b9\u6848： [ 7. 10. 9. 4. 7. 5. 1. 9. 2. 8. 5. 7. 10. 6. 6. 3. 3. 2. 4. 5. 9. 8. 3. 2. 3. 10. 7. 6. 1. 1. 9. 9. 7. 1. 6. 10. 8. 2. 2. 5. 4. 3. 8. 10. 4. 1. 4. 5. 6. 8. 5. 6. 6. 5. 4. 2. 2. 4. 3. 6. 2. 3. 5. 1. 6. 5. 6. 2. 5. 1. 4. 6. 4. 3. 2. 2. 5. 6. 3. 3. 6. 5. 1. 4. 6. 4. 5. 2. 1. 2. 3. 6. 4. 6. 4. 5. 3. 5. 5. 4.]\u6574\u4e2a\u8fed\u4ee3\u8fc7\u7a0b\u6240\u7528\u65f6\u95f4：14.20s<\/p>\n

        \u90e8\u5206\u4ee3\u7801\u5b9e\u73b0：<\/p>\n

        if __name__ == "__main__":
        \n workpiece = 10 #\u5de5\u4ef6\u6570\u76ee
        \n process = 5 #\u6bcf\u4e2a\u5de5\u4ef6\u7684\u5de5\u5e8f\u6570\u76ee
        \n total_process = workpiece * process #\u5de5\u5e8f\u7684\u603b\u6570
        \n machine = 6 #\u673a\u5668\u6570\u76ee
        \n popsize = 50 #\u79cd\u7fa4\u89c4\u6a21
        \n global_size = popsize\/\/2 #\u5168\u5c40\u521d\u59cb\u5316\u7684\u6570\u76ee
        \n local_size = popsize – global_size #\u5c40\u90e8\u521d\u59cb\u5316\u7684\u6570\u76ee
        \n maxgen = 500 #\u6700\u5927\u8fed\u4ee3\u6b21\u6570
        \n rangepop = (1,6) #\u7c92\u5b50\u7f16\u7801\u4e2d\u673a\u5668\u9009\u62e9\u90e8\u5206\u7684\u8303\u56f4
        \n F = 0.1 #\u53d8\u5f02\u7387
        \n Cr = 0.1 #\u4ea4\u53c9\u7387
        \n clean_contents = []
        \n for i in range(total_process):
        \n clean_contents.append([[int(contents[i][j]), j+1] for j in range(machine) if contents[i][j] != "-"])
        \n temp_sum = 0
        \n for j in range(len(clean_contents[i])):
        \n temp_sum += 1\/clean_contents[i][j][0]
        \n for j in range(len(clean_contents[i])):
        \n clean_contents[i][j][0] = (1\/clean_contents[i][j][0])\/temp_sum
        \n clean_contents[i].sort()
        \n cumulation = 0
        \n for j in range(len(clean_contents[i])):
        \n cumulation += clean_contents[i][j][0]
        \n clean_contents[i][j][0] = cumulation<\/p>\n

        pop,v,fitness = initpopulation()
        \n gbestpop,gbestfitness,pbestpop,pbestfitness = getinitbest(fitness,pop)<\/p>\n

        DE_base = []
        \n iter_process = []
        \n begin = time.time()
        \n for i in range(maxgen):
        \n mid_population = mutation()
        \n cross_and_select(mid_population)<\/p>\n

        iter_process.append(fitness.min())
        \n DE_base.append(gbestfitness)
        \n for j in range(popsize):
        \n fitness[j] = calculate(pop[j])
        \n if fitness[j] < pbestfitness[j]:
        \n pbestfitness[j] = fitness[j]
        \n pbestpop[j] = pop[j].copy()<\/p>\n

        if fitness.min() < gbestfitness:
        \n gbestfitness = fitness.min()
        \n gbestpop = pop[fitness.argmin()].copy()<\/p>\n

        print("\u6309\u7167\u57fa\u4e8e\u5168\u5c40\u4e0e\u5c40\u90e8\u521d\u59cb\u5316\u7b56\u7565\u7684DE\u7b97\u6cd5\u6c42\u5f97\u7684\u6700\u597d\u7684\u6700\u5927\u5b8c\u5de5\u65f6\u95f4：",min(DE_base))
        \n print("\u6309\u7167\u57fa\u4e8e\u5168\u5c40\u4e0e\u5c40\u90e8\u521d\u59cb\u5316\u7b56\u7565\u7684DE\u7b97\u6cd5\u6c42\u5f97\u7684\u6700\u597d\u7684\u5de5\u827a\u65b9\u6848：",gbestpop)
        \n end = time.time()
        \n print("\u6574\u4e2a\u8fed\u4ee3\u8fc7\u7a0b\u6240\u7528\u65f6\u95f4：{:.2f}s".format(end-begin))
        \n fig = plt.figure(figsize=(10,5))
        \n ax1 = fig.add_subplot(121)
        \n ax1.set_xlabel('\u8fed\u4ee3\u6b21\u6570')
        \n ax1.set_ylabel('\u6700\u4f18\u89e3')
        \n ax1.set_title("\u5168\u5c40\u6700\u4f18\u89e3\u7684\u53d8\u5316\u60c5\u51b5")
        \n ax1.plot(DE_base,color='r')
        \n ax2 = fig.add_subplot(122)
        \n ax2.set_xlabel('\u8fed\u4ee3\u6b21\u6570')
        \n ax2.set_ylabel('\u6700\u4f18\u89e3')
        \n ax2.set_title("\u6bcf\u6b21\u8fed\u4ee3\u540e\u79cd\u7fa4\u9002\u5e94\u5ea6\u6700\u5c0f\u503c\u7684\u53d8\u5316\u60c5\u51b5")
        \n ax2.plot(iter_process,color='y')
        \n plt.show()<\/p>\n

        🎉3 \u53c2\u8003\u6587\u732e<\/h3>\n

        \u6587\u7ae0\u4e2d\u4e00\u4e9b\u5185\u5bb9\u5f15\u81ea\u7f51\u7edc，\u4f1a\u6ce8\u660e\u51fa\u5904\u6216\u5f15\u7528\u4e3a\u53c2\u8003\u6587\u732e，\u96be\u514d\u6709\u672a\u5c3d\u4e4b\u5904，\u5982\u6709\u4e0d\u59a5，\u8bf7\u968f\u65f6\u8054\u7cfb\u5220\u9664\u3002(\u6587\u7ae0\u5185\u5bb9\u4ec5\u4f9b\u53c2\u8003，\u5177\u4f53\u6548\u679c\u4ee5\u8fd0\u884c\u7ed3\u679c\u4e3a\u51c6)<\/p>\n

        [1]\u9648\u6069\u8302. \u6539\u8fdb\u5dee\u5206\u8fdb\u5316\u7b97\u6cd5\u53ca\u5176\u6c42\u89e3\u67d4\u6027\u4f5c\u4e1a\u8f66\u95f4\u8c03\u5ea6\u95ee\u9898[D].\u4e1c\u5317\u5927\u5b66,2020.DOI:10.27007\/d.cnki.gdbeu.2020.000783.<\/p>\n

        👨\u200d💻4 Python\u4ee3\u7801\u5b9e\u73b0<\/h3>\n","protected":false},"excerpt":{"rendered":"

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