{"id":1729,"date":"2021-10-21T17:30:45","date_gmt":"2021-10-21T08:30:45","guid":{"rendered":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=1729"},"modified":"2021-10-21T17:30:45","modified_gmt":"2021-10-21T08:30:45","slug":"%e6%9c%83%e7%94%b0","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/","title":{"rendered":"\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306b\u3088\u308b\u914d\u9001\u8a08\u753b"},"content":{"rendered":"\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-white ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E6%96%87%E7%8C%AE%E6%83%85%E5%A0%B1\" >\u6587\u732e\u60c5\u5831<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E6%A6%82%E8%A6%81\" >\u6982\u8981<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E3%81%AA%E3%81%9CCVRP%E3%82%92%E9%87%8F%E5%AD%90%E3%82%A2%E3%83%8B%E3%83%BC%E3%83%AA%E3%83%B3%E3%82%B0%E3%83%9E%E3%82%B7%E3%83%B3%E3%81%A7%E8%A7%A3%E3%81%8F%E3%81%AE%E3%81%8B\" >\u306a\u305cCVRP\u3092\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u89e3\u304f\u306e\u304b<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#CVRP%E3%82%92%E8%A7%A3%E3%81%8F%E4%B8%8A%E3%81%A7%E3%81%AE%E8%AA%B2%E9%A1%8C\" >CVRP\u3092\u89e3\u304f\u4e0a\u3067\u306e\u8ab2\u984c<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E8%AA%B2%E9%A1%8C%E2%91%A0%EF%BC%9A%E9%87%8F%E5%AD%90%E3%83%93%E3%83%83%E3%83%88%E3%81%AE%E6%95%B0%E3%81%AB%E5%88%B6%E9%99%90%E3%81%8C%E3%81%82%E3%82%8B%E3%80%82\" >\u8ab2\u984c\u2460\uff1a\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u6570\u306b\u5236\u9650\u304c\u3042\u308b\u3002<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E8%AA%B2%E9%A1%8C%E2%91%A0%E3%81%AE%E8%A7%A3%E6%B1%BA%E6%96%B9%E6%B3%95\" >\u8ab2\u984c\u2460\u306e\u89e3\u6c7a\u65b9\u6cd5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E8%AA%B2%E9%A1%8C%E2%91%A1%EF%BC%9A%E9%87%8F%E5%AD%90%E3%82%A2%E3%83%8B%E3%83%BC%E3%83%AA%E3%83%B3%E3%82%B0%E3%83%9E%E3%82%B7%E3%83%B3%E3%81%AE%E3%81%BF%E3%81%A7%E8%A7%A3%E3%81%8F%E3%81%93%E3%81%A8%E3%81%8C%E9%9B%A3%E3%81%97%E3%81%84%E3%80%82\" >\u8ab2\u984c\u2461\uff1a\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306e\u307f\u3067\u89e3\u304f\u3053\u3068\u304c\u96e3\u3057\u3044\u3002<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E8%AA%B2%E9%A1%8C%E2%91%A1%E3%81%AE%E8%A7%A3%E6%B1%BA%E6%96%B9%E6%B3%95\" >\u8ab2\u984c\u2461\u306e\u89e3\u6c7a\u65b9\u6cd5<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E5%85%B7%E4%BD%93%E7%9A%84%E3%81%AA%E6%96%B9%E6%B3%95\" >\u5177\u4f53\u7684\u306a\u65b9\u6cd5<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E3%82%AF%E3%83%A9%E3%82%B9%E3%82%BF%E3%83%AA%E3%83%B3%E3%82%B0%EF%BC%88%E3%83%8A%E3%83%83%E3%83%97%E3%82%B5%E3%83%83%E3%82%AF%E5%95%8F%E9%A1%8C%EF%BC%89\" >\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\uff08\u30ca\u30c3\u30d7\u30b5\u30c3\u30af\u554f\u984c\uff09<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E3%83%AB%E3%83%BC%E3%83%86%E3%82%A3%E3%83%B3%E3%82%B0%EF%BC%88%E5%B7%A1%E5%9B%9E%E3%82%BB%E3%83%BC%E3%83%AB%E3%82%B9%E3%83%9E%E3%83%B3%E5%95%8F%E9%A1%8C%EF%BC%89\" >\u30eb\u30fc\u30c6\u30a3\u30f3\u30b0\uff08\u5de1\u56de\u30bb\u30fc\u30eb\u30b9\u30de\u30f3\u554f\u984c\uff09<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E7%B5%90%E6%9E%9C\" >\u7d50\u679c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E3%83%AB%E3%83%BC%E3%83%86%E3%82%A3%E3%83%B3%E3%82%B0%E3%81%AE%E8%A9%95%E4%BE%A1\" >\u30eb\u30fc\u30c6\u30a3\u30f3\u30b0\u306e\u8a55\u4fa1<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#CVRP%E3%81%AE%E8%A7%A3%E3%81%AE%E8%B3%AA%E3%81%AE%E8%A9%95%E4%BE%A1\" >CVRP\u306e\u89e3\u306e\u8cea\u306e\u8a55\u4fa1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#CVRP%E3%81%AE%E8%A8%88%E7%AE%97%E6%99%82%E9%96%93%E3%81%AE%E8%A9%95%E4%BE%A1\" >CVRP\u306e\u8a08\u7b97\u6642\u9593\u306e\u8a55\u4fa1<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E7%B5%90%E8%AB%96\" >\u7d50\u8ad6<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E7%B7%A8%E9%9B%86%E8%80%85%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\" >\u7de8\u96c6\u8005\u3042\u3068\u304c\u304d<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2021\/10\/21\/%e6%9c%83%e7%94%b0\/#%E6%9C%AC%E8%A8%98%E4%BA%8B%E3%81%AE%E6%8B%85%E5%BD%93%E8%80%85\" >\u672c\u8a18\u4e8b\u306e\u62c5\u5f53\u8005<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%96%87%E7%8C%AE%E6%83%85%E5%A0%B1\"><\/span>\u6587\u732e\u60c5\u5831<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u30bf\u30a4\u30c8\u30eb: A Hybrid Solution Method for the Capacitated Vehicle Routing Problem Using a Quantum Annealer<br>\u8457\u8005: Sebastian Feld, Chrisoph Roch, Thomas Gabor, Christian Seidel, Florian Neukart, Isabella Galter, Wolfgang Mauerer, and Claudia Linnhoff-Popien<br>\u66f8\u8a8c\u60c5\u5831: <a href=\"https:\/\/doi.org\/10.3389\/fict.2019.00013\">https:\/\/doi.org\/10.3389\/fict.2019.00013<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%A6%82%E8%A6%81\"><\/span>\u6982\u8981<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>CVRP (\u5bb9\u91cf\u5236\u7d04\u6709\u308a\u306e\u914d\u9001\u8a08\u753b\u554f\u984c)\u306f\u3001\u7a4d\u8f09\u5bb9\u91cf\u306b\u5236\u7d04\u306e\u3042\u308b\u8eca\u4e21\u3067\u52b9\u7387\u3088\u304f\u8377\u7269\u3092\u914d\u9001\u3059\u308b\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u305f\u554f\u984c\u3067\u3059\u3002CVRP\u306f\u3001NP\u56f0\u96e3\u306a\u554f\u984c\u3067\u3042\u308a\u3001\u9867\u5ba2\u306e\u6570\u304c\u5897\u3048\u308b\u3068\u7d44\u5408\u305b\u3082\u7206\u767a\u7684\u306b\u5897\u52a0\u3059\u308b\u305f\u3081\u3001\u5168\u63a2\u7d22\u3092\u7528\u3044\u3066\u6700\u9069\u89e3\u3092\u6c42\u3081\u308b\u306b\u306f\u9650\u754c\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u53e4\u5178\u7684\u306a\u624b\u6cd5\u3067\u306f\u8fd1\u4f3c\u89e3\u3092\u6c42\u3081\u308b\u306e\u304c\u4e3b\u6d41\u3067\u3059\u3002\u3053\u306e\u8ad6\u6587\u3067\u306f\u3001CVRP\u3092\u5c0f\u3055\u306a\u554f\u984c\u306b\u5206\u5272\u3057\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3068\u53e4\u5178\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u306e\u4e21\u65b9\u3092\u7528\u3044\u305f\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u306a\u624b\u6cd5\u3092\u7528\u3044\u3066\u89e3\u304d\u307e\u3059\u3002\u305d\u3057\u3066\u3001\u89e3\u306e\u8cea\u3084\u8a08\u7b97\u6642\u9593\u306b\u3064\u3044\u3066\u53e4\u5178\u7684\u306a\u624b\u6cd5\u3068\u306e\u6bd4\u8f03\u3001\u304a\u3088\u3073\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3(D-Wave 2000Q)\u306e\u6027\u80fd\u306e\u8a55\u4fa1\u3092\u884c\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%81%AA%E3%81%9CCVRP%E3%82%92%E9%87%8F%E5%AD%90%E3%82%A2%E3%83%8B%E3%83%BC%E3%83%AA%E3%83%B3%E3%82%B0%E3%83%9E%E3%82%B7%E3%83%B3%E3%81%A7%E8%A7%A3%E3%81%8F%E3%81%AE%E3%81%8B\"><\/span>\u306a\u305cCVRP\u3092\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u89e3\u304f\u306e\u304b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u91cf\u5b50\u529b\u5b66\u7684\u306a\u52b9\u679c\u306b\u3088\u308a\u53e4\u5178\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3088\u308a\u3082\u9ad8\u901f\u306b\u6700\u9069\u89e3\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3068\u671f\u5f85\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3057\u304b\u3057\u3001CVRP\u306f\u3053\u308c\u307e\u3067\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306e\u6709\u52b9\u6027\u304c\u672a\u77e5\u3067\u3042\u3063\u305f\u554f\u984c\u3067\u3057\u305f\u3002\u305d\u3053\u3067\u3001\u672c\u8ad6\u6587\u3067\u306fD-Wave\u306e\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3092\u7528\u3044\u3066CVRP\u3092\u89e3\u3044\u3066\u307f\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u89e3\u306e\u8cea\u3084\u8a08\u7b97\u6642\u9593\u306b\u3064\u3044\u3066\u5229\u70b9\u304c\u3042\u308b\u304b\u3092\u660e\u3089\u304b\u306b\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"CVRP%E3%82%92%E8%A7%A3%E3%81%8F%E4%B8%8A%E3%81%A7%E3%81%AE%E8%AA%B2%E9%A1%8C\"><\/span>CVRP\u3092\u89e3\u304f\u4e0a\u3067\u306e\u8ab2\u984c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%AA%B2%E9%A1%8C%E2%91%A0%EF%BC%9A%E9%87%8F%E5%AD%90%E3%83%93%E3%83%83%E3%83%88%E3%81%AE%E6%95%B0%E3%81%AB%E5%88%B6%E9%99%90%E3%81%8C%E3%81%82%E3%82%8B%E3%80%82\"><\/span>\u8ab2\u984c\u2460\uff1a\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u6570\u306b\u5236\u9650\u304c\u3042\u308b\u3002<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u554f\u984c\u3092\u89e3\u304f\u305f\u3081\u306b\u306fQUBO\u554f\u984c\u306b\u843d\u3068\u3057\u8fbc\u3080\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u304b\u3057\u3001CVRP\u306e\u3088\u3046\u306a\u30b5\u30a4\u30ba\u306e\u5927\u304d\u3044\u554f\u984c\u3092\u6271\u3046\u5834\u5408\u3001\u5b9f\u6a5f\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u6570\u306b\u5236\u9650\u304c\u3042\u308b\u305f\u3081\u305d\u306e\u307e\u307eQUBO\u554f\u984c\u306b\u843d\u3068\u3057\u8fbc\u3080\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%AA%B2%E9%A1%8C%E2%91%A0%E3%81%AE%E8%A7%A3%E6%B1%BA%E6%96%B9%E6%B3%95\"><\/span>\u8ab2\u984c\u2460\u306e\u89e3\u6c7a\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>CVRP\u306f\u6b21\u306e2\u3064\u306e\u554f\u984c\u306b\u5206\u5272\u3057\u3066\u89e3\u3092\u6c42\u3081\u308b\u30d2\u30e5\u30fc\u30ea\u30b9\u30c6\u30a3\u30c3\u30af\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u30ca\u30c3\u30d7\u30b5\u30c3\u30af\u554f\u984c\u3068\u5de1\u56de\u30bb\u30fc\u30eb\u30b9\u30de\u30f3\u554f\u984c\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u30ca\u30c3\u30d7\u30b5\u30c3\u30af\u554f\u984c\u306f\u3001\u5bb9\u91cf\u306e\u6c7a\u307e\u3063\u305f\u30ca\u30c3\u30d7\u30b5\u30c3\u30af\u306b\u306a\u308b\u3079\u304f\u4fa1\u5024\u304c\u9ad8\u304f\u306a\u308b\u3088\u3046\u8377\u7269\u3092\u8a70\u3081\u308b\u3053\u3068\u3092\u8003\u3048\u308b\u554f\u984c\u3067\u3059\u3002\u4eca\u56de\u306e\u5834\u5408\u3001\u5bb9\u91cf\u5236\u9650\u4ed8\u304d\u306e\u8eca\u304c\u30ca\u30c3\u30d7\u30b5\u30c3\u30af\u306b\u3042\u305f\u308a\u307e\u3059\u3002\u5de1\u56de\u30bb\u30fc\u30eb\u30b9\u30de\u30f3\u554f\u984c\u306f\u3001\u30bb\u30fc\u30eb\u30b9\u30de\u30f3\u304c\u90fd\u5e02\u3092\u5de1\u308b\u6700\u77ed\u7d4c\u8def\u3092\u8003\u3048\u308b\u554f\u984c\u3067\u3059\u3002\u672c\u8ad6\u6587\u306e\u63d0\u6848\u624b\u6cd5\u3067\u306f\u3001\u307e\u305a\u30ca\u30c3\u30d7\u30b5\u30c3\u30af\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u3067\u3001\u5404\u8eca\u4e21\u306e\u7a4d\u8377\u306e\u9078\u5b9a\uff08\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\uff09\u3092\u884c\u3044\u307e\u3059\u3002\u305d\u3057\u3066\u3001\u5404\u8eca\u4e21\u306b\u95a2\u3057\u3066\u5de1\u56de\u30bb\u30fc\u30eb\u30b9\u30de\u30f3\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u3067\u3001\u6700\u77ed\u306e\u79fb\u52d5\u7d4c\u8def\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u672c\u8a18\u4e8b\u3067\u306f\u3001\u30ca\u30c3\u30d7\u30b5\u30c3\u30af\u554f\u984c\u3092\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u3001\u5de1\u56de\u30bb\u30fc\u30eb\u30b9\u30de\u30f3\u554f\u984c\u3092\u30eb\u30fc\u30c6\u30a3\u30f3\u30b0\u3068\u8868\u73fe\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u5927\u304d\u306a\u554f\u984c (CVRP) \u3092\u5c0f\u3055\u306a\u554f\u984c (\u30ca\u30c3\u30d7\u30b5\u30c3\u30af\u554f\u984c\u3068\u5de1\u56de\u30bb\u30fc\u30eb\u30b9\u30de\u30f3\u554f\u984c) \u306b\u5206\u5272\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067CVRP\u3092\u89e3\u304f\u3053\u3068\u3092\u53ef\u80fd\u306b\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2021\/09\/aa26426f95aa140606a73e229d708bfe-e1631852610559.jpg\" alt=\"\" class=\"wp-image-1775\" width=\"640\" height=\"226\"\/><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%AA%B2%E9%A1%8C%E2%91%A1%EF%BC%9A%E9%87%8F%E5%AD%90%E3%82%A2%E3%83%8B%E3%83%BC%E3%83%AA%E3%83%B3%E3%82%B0%E3%83%9E%E3%82%B7%E3%83%B3%E3%81%AE%E3%81%BF%E3%81%A7%E8%A7%A3%E3%81%8F%E3%81%93%E3%81%A8%E3%81%8C%E9%9B%A3%E3%81%97%E3%81%84%E3%80%82\"><\/span>\u8ab2\u984c\u2461\uff1a\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306e\u307f\u3067\u89e3\u304f\u3053\u3068\u304c\u96e3\u3057\u3044\u3002<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2021\/09\/7770e0a0972d9b99ebc75f0d4aef2a57.jpg\" alt=\"\" class=\"wp-image-1850\" width=\"469\" height=\"237\"\/><\/figure><\/div>\n\n\n\n<p>\u3053\u306e\u8ad6\u6587\u3067\u306f\u3001\u307e\u305a\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306e\u307f\u3067\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u3092\u8003\u3048\u307e\u3059\u3002\u3057\u304b\u3057\u30012\u3064\u306e\u554f\u984c\u3092\u5206\u5272\u3057\u3066\u89e3\u304f\u969b\u306b\u306f\u3001\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u306e\u90e8\u5206\u3067\u554f\u984c\u304c\u751f\u3058\u307e\u3059\u3002\u307e\u305f\u540c\u6642\u306b\u89e3\u3053\u3046\u3068\u3059\u308b\u969b\u306b\u306f\u6700\u9069\u5316\u306b\u95a2\u3059\u308b\u9805\u304c\u5e72\u6e09\u3057\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u3053\u3068\u304b\u3089\u3001CVRP\u3092\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306e\u307f\u3067\u89e3\u304f\u3053\u3068\u306f\u96e3\u3057\u3044\u3067\u3059\u3002(\u8a73\u7d30\u306b\u3064\u3044\u3066\u306f\u8ad6\u6587\u53c2\u7167)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%AA%B2%E9%A1%8C%E2%91%A1%E3%81%AE%E8%A7%A3%E6%B1%BA%E6%96%B9%E6%B3%95\"><\/span>\u8ab2\u984c\u2461\u306e\u89e3\u6c7a\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3068\u53e4\u5178\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3092\u7528\u3044\u305f\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u306a\u624b\u6cd5\u3092\u7528\u3044\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\u524d\u534a\u306e\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u306f\u53e4\u5178\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3067\u3001\u5f8c\u534a\u306e\u30eb\u30fc\u30c6\u30a3\u30f3\u30b0\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u89e3\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%85%B7%E4%BD%93%E7%9A%84%E3%81%AA%E6%96%B9%E6%B3%95\"><\/span>\u5177\u4f53\u7684\u306a\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%82%AF%E3%83%A9%E3%82%B9%E3%82%BF%E3%83%AA%E3%83%B3%E3%82%B0%EF%BC%88%E3%83%8A%E3%83%83%E3%83%97%E3%82%B5%E3%83%83%E3%82%AF%E5%95%8F%E9%A1%8C%EF%BC%89\"><\/span>\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\uff08\u30ca\u30c3\u30d7\u30b5\u30c3\u30af\u554f\u984c\uff09<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u307e\u305a\u3001\u524d\u534a\u306e\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u306f2\u3064\u306e\u6bb5\u968e\u306b\u5206\u304b\u308c\u3066\u3044\u307e\u3059\u3002\u2460\u30af\u30e9\u30b9\u30bf\u30fc\u306e\u751f\u6210\u3068\u2461\u30af\u30e9\u30b9\u30bf\u30fc\u306e\u6539\u5584\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u2460\u30af\u30e9\u30b9\u30bf\u30fc\u306e\u751f\u6210\u306f\u4ee5\u4e0b\u306e\u624b\u9806\u306b\u3088\u3063\u3066\u884c\u308f\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\u30af\u30e9\u30b9\u30bf\u30fc\u3092\u751f\u6210\u3059\u308b\u969b\u306b\u6838\u3068\u306a\u308b\u9867\u5ba2\u3092\u6c7a\u3081\u307e\u3059\u3002\u4eca\u56de\u306f\u6700\u3082\u5009\u5eab\u304b\u3089\u9060\u3044\u9867\u5ba2\u3001\u307e\u305f\u306f\u6700\u3082\u8377\u7269\u306e\u8981\u6c42\u91cf\u304c\u591a\u3044\u9867\u5ba2\u3092\u9078\u3093\u3067\u3044\u307e\u3059\u3002<\/li><li>\u6838\u3068\u306a\u308b\u9867\u5ba2\u3068\u5009\u5eab\u306e\u91cd\u5fc3\u3092\u6c42\u3081\u307e\u3059\u3002<\/li><li>\u305d\u306e\u91cd\u5fc3\u306b\u6700\u3082\u8fd1\u3044\u9867\u5ba2\u3092\u65b0\u305f\u306b\u30af\u30e9\u30b9\u30bf\u30fc\u306b\u52a0\u3048\u307e\u3059\u3002\u3053\u306e\u969b\u3001\u30af\u30e9\u30b9\u30bf\u30fc\u5185\u306e\u7dcf\u8981\u6c42\u91cf\u304c\u8eca\u306e\u5bb9\u91cf\u3092\u8d85\u3048\u306a\u3044\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/li><li>\u4ee5\u4e0b\u3001\u4e0a\u8a18\u306e\u64cd\u4f5c\u3092\u7e70\u308a\u8fd4\u3057\u307e\u3059\u3002\u3082\u3057\u8eca\u306e\u5bb9\u91cf\u3092\u8d85\u3048\u308b\u5834\u5408\u306f\u65b0\u305f\u306a\u6838\u3068\u306a\u308b\u9867\u5ba2\u3092\u6c7a\u3081\u3001\u65b0\u3057\u3044\u30af\u30e9\u30b9\u30bf\u30fc\u3092\u751f\u6210\u3057\u3001\u5168\u3066\u306e\u9867\u5ba2\u3092\u30af\u30e9\u30b9\u30bf\u30fc\u306b\u5272\u308a\u632f\u308a\u307e\u3059\u3002<\/li><\/ol>\n\n\n\n<div class=\"wp-block-image wp-image-1779 size-full\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2021\/09\/6a1306b344c5814f9edc1257c70ca74d.gif\" alt=\"\" class=\"wp-image-1779\" width=\"640\" height=\"360\"\/><figcaption>\u30af\u30e9\u30b9\u30bf\u30fc\u306e\u751f\u6210\u306e\u69d8\u5b50<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u6b21\u306b\u3001\u2461\u30af\u30e9\u30b9\u30bf\u30fc\u306e\u6539\u5584\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u884c\u308f\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5168\u3066\u306e\u9867\u5ba2\u306b\u3064\u3044\u3066\u3001\u4ed6\u306e\u30af\u30e9\u30b9\u30bf\u30fc\u306b\u79fb\u3059\u3053\u3068\u3092\u8003\u3048\u307e\u3059\u3002\u3082\u3057\u3001\u4eca\u3044\u308b\u30af\u30e9\u30b9\u30bf\u30fc\u306e\u91cd\u5fc3\u3088\u308a\u3082\u4ed6\u306e\u30af\u30e9\u30b9\u30bf\u30fc\u306e\u91cd\u5fc3\u306e\u65b9\u304c\u8fd1\u3051\u308c\u3070\u3001\u4ed6\u306e\u30af\u30e9\u30b9\u30bf\u30fc\u306b\u79fb\u3057\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u8eca\u306e\u5bb9\u91cf\u3092\u8d85\u3048\u308b\u5834\u5408\u306f\u3053\u306e\u64cd\u4f5c\u3092\u884c\u3046\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0a\u3092\u3001\u30af\u30e9\u30b9\u30bf\u30fc\u306b\u5909\u5316\u304c\u306a\u304f\u306a\u308b\u3001\u307e\u305f\u306f\u3042\u308b\u4f4d\u7f6e\u306b\u5bfe\u3057\u3066\u8a66\u884c\u56de\u6570\u3092\u6c7a\u3081\u3066\u304a\u304d\u3001\u305d\u308c\u306b\u9054\u3059\u308b\u307e\u3067\u7e70\u308a\u8fd4\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image wp-image-1783 size-full\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2021\/09\/b97a539854b45e00b3f105c327a2ff4a.gif\" alt=\"\" class=\"wp-image-1783\" width=\"640\" height=\"360\"\/><figcaption>\u30af\u30e9\u30b9\u30bf\u30fc\u306e\u6539\u5584\u306e\u69d8\u5b50<\/figcaption><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%83%AB%E3%83%BC%E3%83%86%E3%82%A3%E3%83%B3%E3%82%B0%EF%BC%88%E5%B7%A1%E5%9B%9E%E3%82%BB%E3%83%BC%E3%83%AB%E3%82%B9%E3%83%9E%E3%83%B3%E5%95%8F%E9%A1%8C%EF%BC%89\"><\/span>\u30eb\u30fc\u30c6\u30a3\u30f3\u30b0\uff08\u5de1\u56de\u30bb\u30fc\u30eb\u30b9\u30de\u30f3\u554f\u984c\uff09<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u6b21\u306b\u5f8c\u534a\u306e\u30eb\u30fc\u30c6\u30a3\u30f3\u30b0\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u5f0f\u5316\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$H=H_A+H_B$$<\/p>\n\n\n\n<p>\u5177\u4f53\u7684\u306a\u5f0f\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2021\/09\/fae2979b1ffd90bb1dc4a33895aa9e27-1024x576.jpg\" alt=\"\" class=\"wp-image-1787\"\/><\/figure><\/div>\n\n\n\n<p>\u4eca\u56de\u306e\u5b9f\u9a13\u306e\u5834\u5408\u3001\u5404\u30af\u30e9\u30b9\u30bf\u30fc\u306e\u9802\u70b9\u3092\u4e00\u5ea6\u3060\u3051\u901a\u308b\u9589\u8def\u3092\u8003\u3048\u308b\u305f\u3081\u3001\u30cf\u30df\u30eb\u30c8\u30f3\u9589\u8def\u3068\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u308c\u3092\u5b9a\u5f0f\u5316\u3057\u305f\u3082\u306e\u304c$H_A$\u3067\u3059\u3002\u307e\u305f\u3001\u30cf\u30df\u30eb\u30c8\u30f3\u9589\u8def\u5185\u3067\u306e\u6700\u77ed\u7d4c\u8def\u3092\u898b\u3064\u3051\u308b\u306e\u304c$H_B$\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u5404\u9805\u306b\u304b\u304b\u3063\u3066\u3044\u308b\u4fc2\u6570\u306b\u3064\u3044\u3066\u3001$A$\u306f\u5236\u7d04\u9805\u306e\u5f37\u3055\u3092\u3001$B$\u306f\u76ee\u7684\u95a2\u6570\u306e\u91cd\u307f\u3092\u6c7a\u3081\u308b\u5f79\u5272\u3092\u6301\u3061\u307e\u3059\u3002\u4eca\u56de\u306e\u5b9f\u9a13\u3067\u306f\u3001$A$\u304c\u9867\u5ba2\u6570$n$\u3068\u884c\u5217$D_{ui}$\u306e\u6700\u5927\u5024\u306e\u7a4d\u3001$B$\u304c1\u306b\u8a2d\u5b9a\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%B5%90%E6%9E%9C\"><\/span>\u7d50\u679c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u30eb\u30fc\u30c6\u30a3\u30f3\u30b0\u306fQUBO\u554f\u984c\u3068\u3057\u3066\u3001$n^2$\u500b\u306e\u5909\u6570\u3092\u7528\u3044\u307e\u3059\uff08$n$\u306f\u9867\u5ba2\u306e\u6570\uff09\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u3089\u306e\u5909\u6570\u540c\u58eb\u306e\u7d50\u5408\u304c\u3001D-Wave 2000Q\u306e\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u3088\u308a\u3082\u5bc6\u3067\u3042\u308b\u305f\u3081\u3001\u5143\u306e\u554f\u984c\u306e\u69cb\u9020\u3092D-Wave\u306e\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u3067\u8a31\u5bb9\u3055\u308c\u308b\u554f\u984c\u69cb\u9020 (\u30ad\u30e1\u30e9\u30b0\u30e9\u30d5) \u306b\u5408\u308f\u305b\u308b\u3053\u3068\u306f\u56f0\u96e3\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u4eca\u56de\u306fD-Wave\u304c\u63d0\u4f9b\u3057\u3066\u3044\u308b\u30de\u30a4\u30ca\u30fc\u57cb\u3081\u8fbc\u307f\u306e\u30d2\u30e5\u30fc\u30ea\u30b9\u30c6\u30a3\u30c3\u30af\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u7528\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u554f\u984c\u306e\u30b5\u30a4\u30ba\u304c\u5927\u304d\u3044\u305f\u3081\u3001\u305d\u308c\u3092\u5206\u5272\u3059\u308b\u305f\u3081\u306bQBSolv\u3068\u3044\u3046\u30c4\u30fc\u30eb\u3092\u7528\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001QUBO\u3092\u3088\u308a\u5c0f\u3055\u306asubQUBO\u306b\u5206\u5272\u3057\u3001\u72ec\u7acb\u306b\u89e3\u304f\u30c4\u30fc\u30eb\u3067\u3059\u3002\u5206\u5272\u306f\u3088\u308a\u826f\u3044\u89e3\u304c\u898b\u3064\u304b\u308b\u9650\u308a\u7e70\u308a\u8fd4\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u56de\u6570\u306fnum_repeats\u306b\u3088\u3063\u3066\u5236\u9650\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001QBSolv\u306f\u5206\u5272\u3057\u3066\u89e3\u304f\u3060\u3051\u3067\u306f\u306a\u304f\u3001\u30bf\u30d6\u30fc\u30b5\u30fc\u30c1\u3092\u7528\u3044\u3066\u5c40\u6240\u89e3\u3092\u6c42\u3081\u308b\u6a5f\u80fd\u3082\u3064\u3044\u3066\u3044\u307e\u3059\u3002QBSolv\u306f\u65e2\u5b58\u306e\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3092\u4f7f\u3046\u5834\u5408\u3067\u3082\u3001\u5b9f\u6a5f\u306e\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3092\u7528\u3044\u3066\u89e3\u304f\u5834\u5408\u306b\u3082\u4f7f\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4eca\u56de\u306f\u3001\u65e2\u5b58\u306e\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3092\u4f7f\u3046\u5834\u5408\u3092\u30ed\u30fc\u30ab\u30eb\u3001\u5b9f\u6a5f\u306e\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3092\u7528\u3044\u3066\u89e3\u304f\u5834\u5408\u3092\u30ea\u30e2\u30fc\u30c8\u3068\u8868\u73fe\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u5b9f\u884c\u6642\u9593\u306f20\u00b5s\u306b\u8a2d\u5b9a\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%83%AB%E3%83%BC%E3%83%86%E3%82%A3%E3%83%B3%E3%82%B0%E3%81%AE%E8%A9%95%E4%BE%A1\"><\/span>\u30eb\u30fc\u30c6\u30a3\u30f3\u30b0\u306e\u8a55\u4fa1<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u3053\u306e\u5b9f\u9a13\u3067\u306f\u7570\u306a\u308b\u30b5\u30a4\u30ba\u306e\u30eb\u30fc\u30c6\u30a3\u30f3\u30b0\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u5bfe\u8c61\u3068\u3057\u3066\u3044\u307e\u3059\u3002\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u56de\u6570\u306f100\u56de\u3067\u3059\u3002\u307e\u305f\u3001num_repeats\u306f250\u306b\u8a2d\u5b9a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u7d50\u679c\u306f\u3001\u554f\u984c\u306e\u540d\u524d\uff08\u90fd\u5e02\u540d\u3001\u30c7\u30fc\u30bf\u306e\u5927\u304d\u3055\uff09\u3001\u30c7\u30fc\u30bf\u306e\u5927\u304d\u3055\u3001BKS\uff08\u6700\u3082\u826f\u3044\u3068\u77e5\u3089\u308c\u3066\u3044\u308b\u89e3\uff09\u3001\u6700\u826f\u89e3\uff08100\u56de\u5b9f\u884c\u3057\u305f\u969b\u306e\u6700\u3082\u826f\u304b\u3063\u305f\u89e3\uff09\u3001\u5404\u89e3\u3068BKS\u306e\u5e73\u5747\u504f\u5dee\u306e\u9806\u306b\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image wp-image-1789 size-large\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2021\/09\/table1-1024x213.jpg\" alt=\"\" class=\"wp-image-1789\"\/><figcaption>\u79fb\u52d5\u8ddd\u96e2\u3068BKS\u3068\u306e\u504f\u5dee\u3002(<a href=\"https:\/\/doi.org\/10.3389\/fict.2019.00013\">https:\/\/doi.org\/10.3389\/fict.2019.00013<\/a>)<\/figcaption><\/figure><\/div>\n\n\n\n<p>(1)(2)\u306e\u3088\u3046\u306a\u30b5\u30a4\u30ba\u306e\u5c0f\u3055\u3044\u554f\u984c\u306b\u3064\u3044\u3066\u306f\u3001BKS\u3068\u307b\u3068\u3093\u3069\u540c\u3058\u89e3\u304c\u6c42\u3081\u3089\u308c\u3001\u5404\u89e3\u306e\u5e73\u5747\u504f\u5dee\u3082\u5c0f\u3055\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3057\u304b\u3057\u3001(3)(4)(5)\u3068\u554f\u984c\u304c\u5927\u304d\u304f\u306a\u308b\u306b\u3064\u308c\u3066\u3001BKS\u3088\u308a\u3082\u60aa\u3044\u89e3\u3068\u306a\u308a\u3001\u504f\u5dee\u3082\u5897\u5927\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u3053\u306e\u5b9f\u9a13\u3067\u306fnum_repeats\u3092\u5909\u66f4\u3057\u3066\u306e\u5b9f\u9a13\u3082\u884c\u308f\u308c\u3066\u3044\u307e\u3059\u3002\u7d50\u679c\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\u3002\u4eca\u56de\u306f10\u56de\u306e\u8a66\u884c\u3067\u3059\u3002\u3044\u305a\u308c\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u3064\u3044\u3066\u3082num_repeats\u304c\u5897\u52a0\u3059\u308b\u306b\u3064\u308c\u3066\u3001\u5404\u89e3\u3068BKS\u3068\u306e\u504f\u5dee\u304c\u6e1b\u5c11\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u8aad\u307f\u53d6\u308c\u307e\u3059\uff08i.e. \u826f\u3044\u89e3\u304c\u5f97\u3089\u308c\u3066\u3044\u308b\uff09\u3002<\/p>\n\n\n\n<div class=\"wp-block-image wp-image-1791 size-large\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2021\/09\/figure6-1024x927.jpg\" alt=\"\" class=\"wp-image-1791\" width=\"733\" height=\"663\"\/><figcaption>num_repeats\u306e\u5024\u3092\u5909\u5316\u3055\u305b\u305f\u3068\u304d\u306e\u89e3\u306e\u5206\u5e03\u3002(<a href=\"https:\/\/doi.org\/10.3389\/fict.2019.00013\">https:\/\/doi.org\/10.3389\/fict.2019.00013<\/a>)<\/figcaption><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"CVRP%E3%81%AE%E8%A7%A3%E3%81%AE%E8%B3%AA%E3%81%AE%E8%A9%95%E4%BE%A1\"><\/span>CVRP\u306e\u89e3\u306e\u8cea\u306e\u8a55\u4fa1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u3053\u306e\u5b9f\u9a13\u3067\u306f\u3001\u306f\u3058\u3081\u306b\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u3092\u884c\u3046\u969b\u306e\u30af\u30e9\u30b9\u30bf\u30fc\u306e\u6838\u3068\u306a\u308b\u9867\u5ba2\u306e\u6c7a\u3081\u65b9\uff08\u6700\u3082\u5009\u5eab\u304b\u3089\u9060\u3044\u9867\u5ba2\u3001\u307e\u305f\u306f\u6700\u3082\u8377\u7269\u306e\u8981\u6c42\u91cf\u304c\u591a\u3044\u9867\u5ba2\uff09\u306e\u9055\u3044\u304c\u89e3\u306b\u53ca\u307c\u3059\u5f71\u97ff\u3092\u8abf\u3079\u3066\u3044\u307e\u3059\u3002\u7d50\u679c\u306f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u540d\u524d\uff08E-\u9867\u5ba2\u306e\u6570-\u8eca\u306e\u6570\uff09\u3001BKS\u30012\u3064\u306e\u6c7a\u3081\u65b9\u306b\u304a\u3051\u308b\u6700\u3082\u826f\u304b\u3063\u305f\u89e3\u30012\u3064\u306e\u6c7a\u3081\u65b9\u306b\u304a\u3051\u308b\u504f\u5dee\u306e\u9806\u306b\u4e26\u3093\u3067\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u7d50\u679c\u3092\u898b\u3066\u3082\u3001\u6838\u3068\u306a\u308b\u9867\u5ba2\u306e\u6c7a\u3081\u65b9\u3068\u3057\u3066\u3069\u3061\u3089\u304c\u826f\u3044\u3068\u5177\u4f53\u7684\u306b\u8a00\u3046\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<div class=\"wp-block-image wp-image-1792 size-large\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2021\/09\/table2-1024x269.jpg\" alt=\"\" class=\"wp-image-1792\"\/><figcaption>\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u306b\u304a\u3051\u308b\u521d\u671f\u9867\u5ba2\u306e\u8a2d\u5b9a\u65b9\u6cd5\u306b\u3088\u308b\u6027\u80fd\u306e\u9055\u3044\u3002(<a href=\"https:\/\/doi.org\/10.3389\/fict.2019.00013\">https:\/\/doi.org\/10.3389\/fict.2019.00013<\/a>)<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u7d9a\u3044\u3066\u30017\u3064\u306eCMT\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8(CMT1~5,11,12)\u3092\u7528\u3044\u3066\u3001Clarke-Wright\u306e\u624b\u6cd5\u3001Fisher-Jaikumar\u306e\u624b\u6cd5\u3001Christofides et al.\u306e\u624b\u6cd5\u3001Sweep\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e4\u3064\u306e\u624b\u6cd5\u306e\u6027\u80fd\u3068\u6bd4\u8f03\u3092\u884c\u3063\u3066\u3044\u307e\u3059\u3002\u7d50\u679c\u306f\u30c7\u30fc\u30bf\u306e\u30b5\u30a4\u30ba\u3001BKS\u3001\u5404\u624b\u6cd5\u306b\u304a\u3051\u308b\u6700\u826f\u89e3\u3068\u504f\u5dee\u306e\u9806\u306b\u4e26\u3093\u3067\u3044\u307e\u3059\u3002\u307e\u305f\u3001\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u624b\u6cd5\u306b\u304a\u3044\u3066a\u306f\u8ddd\u96e2\u304c\u6700\u5927\u3001b\u306f\u8981\u6c42\u91cf\u304c\u6700\u5927\u306e\u3082\u306e\u3092\u6838\u3068\u306a\u308b\u9867\u5ba2\u3068\u3057\u3066\u9078\u629e\u3057\u305f\u5834\u5408\u306e\u89e3\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image wp-image-1793 size-large\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2021\/09\/table3-1024x280.jpg\" alt=\"\" class=\"wp-image-1793\"\/><figcaption>\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u624b\u6cd5\u3068\u65e2\u5b58\u624b\u6cd5\u306e\u6bd4\u8f03\u3002(<a href=\"https:\/\/doi.org\/10.3389\/fict.2019.00013\">https:\/\/doi.org\/10.3389\/fict.2019.00013<\/a>)<\/figcaption><\/figure><\/div>\n\n\n\n<p>CMT1~5\u306b\u3064\u3044\u3066\u306f\u3001\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u624b\u6cd5\u306f\u4e00\u3064\u76ee\u306eClarke-Wright\u306e\u624b\u6cd5\u306b\u306f\u52a3\u3089\u306a\u3044\u6027\u80fd\u3067\u3042\u308a\u3001\u4e0a\u56de\u3063\u3066\u3044\u308b\u90e8\u5206\u3082\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u305d\u306e\u4ed6\u306e\u624b\u6cd5\u3088\u308a\u306f\u52a3\u3063\u3066\u3044\u307e\u3059\u3002CMT11,12\u306f\u3001\u9867\u5ba2\u304c\u5730\u7406\u7684\u306b\u307e\u3068\u307e\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u3068\u3057\u3066\u306f\u6bd4\u8f03\u7684\u306b\u5bb9\u6613\u3067\u3042\u308b\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3067\u3059\u3002\u8868\u304b\u3089\u8aad\u307f\u53d6\u308c\u308b\u901a\u308a\u3001\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u624b\u6cd5\u306f\u4ed6\u306e\u624b\u6cd5\u3068\u6bd4\u8f03\u3057\u3066\u3082\u826f\u3044\u7d50\u679c\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u306e\u6027\u80fd\u304c\u826f\u3044\u5834\u5408\u3001\u30eb\u30fc\u30c6\u30a3\u30f3\u30b0\u306e\u6027\u80fd\u3082\u3001\u4ed6\u306e\u624b\u6cd5\u3088\u308a\u512a\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"CVRP%E3%81%AE%E8%A8%88%E7%AE%97%E6%99%82%E9%96%93%E3%81%AE%E8%A9%95%E4%BE%A1\"><\/span>CVRP\u306e\u8a08\u7b97\u6642\u9593\u306e\u8a55\u4fa1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>2\u3064\u76ee\u306e\u5b9f\u9a13\u3067\u7528\u3044\u305fCMT1\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u304a\u3051\u308b\u30eb\u30fc\u30c6\u30a3\u30f3\u30b0\u3067\u306e\u8a08\u7b97\u6642\u9593\u3092\u30ed\u30fc\u30ab\u30eb\u3067\u89e3\u3044\u305f\u5834\u5408\u3068\u30ea\u30e2\u30fc\u30c8\u3067\u89e3\u3044\u305f\u5834\u5408\u306e\u8a08\u7b97\u7d50\u679c\u3092\u6bd4\u8f03\u3057\u3066\u3044\u307e\u3059\u3002\u30ed\u30fc\u30ab\u30eb\u306e\u5834\u5408\u306fCPU\u306e\u307f\u3067\u30eb\u30fc\u30c6\u30a3\u30f3\u30b0\u3092\u89e3\u3044\u3066\u3044\u307e\u3059\u304c\u3001\u30ea\u30e2\u30fc\u30c8\u306e\u5834\u5408\u306fCPU\u3067QUBO\u306e\u5206\u5272\u3092\u884c\u3044\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u5206\u5272\u3055\u308c\u305fsubQUBO\u3092\u89e3\u3044\u3066\u3044\u307e\u3059\u3002\u5f97\u3089\u308c\u305f\u89e3\u306f\u30ed\u30fc\u30ab\u30eb\u3067\u306f557\u3001\u30ea\u30e2\u30fc\u30c8\u3067\u306f556\u3068\u3044\u3046\u7d50\u679c\u3067\u3042\u308a\u3001\u89e3\u306e\u8cea\u306f\u307b\u307c\u540c\u7b49\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u8868\u304b\u3089\u3001QUBO\u554f\u984c\u3092\u89e3\u304f\u6642\u9593\u306b\u3064\u3044\u3066\u306f\u30ea\u30e2\u30fc\u30c8\u306e\u65b9\u304c\u512a\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u30ed\u30fc\u30ab\u30eb\u3068\u6bd4\u3079\u3066\u3001\u30ad\u30e1\u30e9\u30b0\u30e9\u30d5\u3078\u306e\u57cb\u3081\u8fbc\u307f\u3084\u3001\u30a4\u30f3\u30bf\u30fc\u30cd\u30c3\u30c8\u306e\u9045\u5ef6\u3001\u30de\u30b7\u30f3\u306e\u5f85\u6a5f\u5217\u306b\u3088\u3063\u3066\u5408\u8a08\u306e\u5b9f\u884c\u6642\u9593\u304c\u9577\u304f\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u30c8\u30fc\u30bf\u30eb\u306e\u6642\u9593\u3067\u898b\u308b\u3068\u3001\u73fe\u72b6\u3067\u306f\u30ed\u30fc\u30ab\u30eb\u3067\u89e3\u304f\u65b9\u304c\u512a\u308c\u3066\u3044\u308b\u3068\u8a00\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image wp-image-1794 size-full\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2021\/09\/table4.jpg\" alt=\"\" class=\"wp-image-1794\"\/><figcaption>\u89e3\u306e\u8cea\u3068\u8a08\u7b97\u6642\u9593\u3002(<a href=\"https:\/\/doi.org\/10.3389\/fict.2019.00013\">https:\/\/doi.org\/10.3389\/fict.2019.00013<\/a>)<\/figcaption><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%B5%90%E8%AB%96\"><\/span>\u7d50\u8ad6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u4eca\u56de\u306e\u5b9f\u9a13\u3067\u306f\u3001\u30b5\u30a4\u30ba\u304c\u5927\u304d\u3044\u554f\u984c\u306b\u3064\u3044\u3066\u306fBKS\u306b\u305f\u3069\u308a\u7740\u304f\u3053\u3068\u304c\u3067\u304d\u305a\u3001\u307e\u305f\u30ed\u30fc\u30ab\u30eb\u3067\u89e3\u3044\u305f\u65b9\u304c\u5408\u8a08\u306e\u5b9f\u884c\u6642\u9593\u304c\u77ed\u304b\u3063\u305f\u305f\u3081\u3001\u89e3\u306e\u8cea\u3084\u8a08\u7b97\u6642\u9593\u306b\u3064\u3044\u3066\u660e\u78ba\u306a\u5229\u70b9\u306f\u767a\u898b\u3055\u308c\u307e\u305b\u3093\u3067\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u3057\u304b\u3057\u3001\u5730\u7406\u7684\u306b\u9867\u5ba2\u304c\u307e\u3068\u307e\u3063\u305f\u73fe\u5b9f\u7684\u306a\u30c7\u30fc\u30bf\u306b\u3064\u3044\u3066\u306f\u3001\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u624b\u6cd5\u306b\u3088\u308bCVRP\u306e\u5206\u5272\u624b\u6cd5\u306f\u4ed6\u306e\u8fd1\u4f3c\u89e3\u6cd5\u3068\u6bd4\u3079\u3066\u3082\u826f\u3044\u7d50\u679c\u3067\u3042\u3063\u305f\u3053\u3068\u304b\u3089\u3001\u5927\u304d\u3044\u554f\u984c\u3092\u3088\u308a\u5c0f\u3055\u306a\u554f\u984c\u306b\u5206\u5272\u3057\u3066\u89e3\u304f\u624b\u6cd5\u306f\u3001\u4eca\u5f8c\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304f\u4e0a\u3067\u57fa\u790e\u3068\u306a\u3063\u3066\u3044\u304f\u3068\u8a00\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3055\u3089\u306b\u3001\u4eca\u5f8c\u91cf\u5b50\u30d3\u30c3\u30c8\u304c\u5897\u3048\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u3088\u308a\u9ad8\u901f\u306b\u53b3\u5bc6\u89e3\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%B7%A8%E9%9B%86%E8%80%85%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\"><\/span>\u7de8\u96c6\u8005\u3042\u3068\u304c\u304d<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u3069\u3046\u3057\u3066\u91cf\u5b50\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u306e\u307f\u3067\u89e3\u3051\u306a\u3044\u304b\u3068\u3044\u3046\u3068\u3053\u308d\u3067\u3001\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u304c\u4e0a\u624b\u304f\u3044\u304b\u306a\u3044\u7406\u7531\u306b\u3064\u3044\u3066\u5c11\u3057\u7591\u554f\u304c\u3042\u308b\u306e\u3067\u3001\u5b9f\u969b\u306b\u8a66\u3057\u3066\u307f\u3066\u78ba\u304b\u306b\u30c0\u30e1\u3060\u306a\u3068\u3044\u3046\u306e\u3092\u78ba\u8a8d\u3067\u304d\u308b\u3068\u3088\u3044\u3068\u601d\u3044\u307e\u3057\u305f\u3002\u307e\u305f\u3001\u73fe\u5728D-Wave Advantage (\u7d045,000\u91cf\u5b50\u30d3\u30c3\u30c8) \u304c\u516c\u958b\u3055\u308c\u3001\u91cf\u5b50\u30d3\u30c3\u30c8\u306f\u5f53\u6642\u3088\u308a\u3082\u5897\u3048\u3066\u3044\u308b\u306e\u3067\u3001\u3088\u308a\u826f\u3044\u89e3\u304c\u767a\u898b\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u3063\u3066\u3044\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%9C%AC%E8%A8%98%E4%BA%8B%E3%81%AE%E6%8B%85%E5%BD%93%E8%80%85\"><\/span>\u672c\u8a18\u4e8b\u306e\u62c5\u5f53\u8005<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u6703\u7530\u88d5\u6a39 (\u30e1\u30f3\u30bf\u30ea\u30f3\u30b0\uff1a\u4e38\u5c71\u5c1a\u8cb4\u3001\u7fbd\u5834\u5ec9\u4e00\u90ce)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>CVRP 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