{"id":133,"date":"2018-05-08T17:30:17","date_gmt":"2018-05-08T08:30:17","guid":{"rendered":"http:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=133"},"modified":"2018-05-08T17:30:17","modified_gmt":"2018-05-08T08:30:17","slug":"job-shop-scheduling-solver-based-on-quantum-annealingmaruyama","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/08\/job-shop-scheduling-solver-based-on-quantum-annealingmaruyama\/","title":{"rendered":"\u30b8\u30e7\u30d6\u30b7\u30e7\u30c3\u30d7\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u554f\u984c\u3078\u306e\u5fdc\u7528 &#8220;Job Shop Scheduling Solver based on Quantum Annealing&#8221; by D. Venturelli, et al. (2015)."},"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\/2018\/05\/08\/job-shop-scheduling-solver-based-on-quantum-annealingmaruyama\/#%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\/2018\/05\/08\/job-shop-scheduling-solver-based-on-quantum-annealingmaruyama\/#%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\/2018\/05\/08\/job-shop-scheduling-solver-based-on-quantum-annealingmaruyama\/#%E5%95%8F%E9%A1%8C\" >\u554f\u984c<\/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\/2018\/05\/08\/job-shop-scheduling-solver-based-on-quantum-annealingmaruyama\/#%E6%9C%80%E9%81%A9%E5%8C%96%E5%95%8F%E9%A1%8C%E3%81%AE%E5%AE%9A%E5%BC%8F%E5%8C%96\" >\u6700\u9069\u5316\u554f\u984c\u306e\u5b9a\u5f0f\u5316<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/08\/job-shop-scheduling-solver-based-on-quantum-annealingmaruyama\/#D-Wave%E3%83%9E%E3%82%B7%E3%83%B3%E5%AE%9F%E8%A3%85%E4%B8%8A%E3%81%AE%E5%B7%A5%E5%A4%AB\" >D-Wave\u30de\u30b7\u30f3\u5b9f\u88c5\u4e0a\u306e\u5de5\u592b<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/08\/job-shop-scheduling-solver-based-on-quantum-annealingmaruyama\/#%E7%B5%90%E6%9E%9C\" >\u7d50\u679c<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/08\/job-shop-scheduling-solver-based-on-quantum-annealingmaruyama\/#%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<ul class=\"wp-block-list\">\n<li>\u30bf\u30a4\u30c8\u30eb: <a href=\"https:\/\/arxiv.org\/abs\/1506.08479\">Job Shop Scheduling Solver based on Quantum Annealing<\/a><\/li>\n\n\n\n<li>\u8457\u8005: Davide Venturelli, Dominic J.J. Marchand, Galo Rojo<\/li>\n\n\n\n<li>arXiv:1506.08479 [quant-ph]<\/li>\n<\/ul>\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>\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u4e00\u3064\u3067\u3042\u308b\u30b8\u30e7\u30d6\u30b7\u30e7\u30c3\u30d7\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u554f\u984c\u3092\u5b9a\u5f0f\u5316\u3057\u3001\u3053\u308c\u3092D-Wave Two\u306b\u3088\u308a\u89e3\u3044\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%95%8F%E9%A1%8C\"><\/span>\u554f\u984c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u30b8\u30e7\u30d6\u30b7\u30e7\u30c3\u30d7\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u554f\u984c(JSP:Job Shop Scheduling Problem)\u3068\u306f\u3001\u6a5f\u68b0\u3092\u7528\u3044\u3066\u8907\u6570\u306e\u30b8\u30e7\u30d6\u3092\u51e6\u7406\u3059\u308b\u5834\u5408\u306b\u3001\u5168\u4f53\u306e\u7a3c\u50cd\u6642\u9593\u3084\u30b3\u30b9\u30c8\u3092\u6700\u5c0f\u306b\u3059\u308b\u554f\u984c\u3067\u3042\u308b\u3002\u5404\u30b8\u30e7\u30d6\u306b\u306f\u8907\u6570\u306e\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u304c\u542b\u307e\u308c\u3001\u5404\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u306b\u306f\u5b9f\u884c\u3059\u308b\u6a5f\u68b0\u306b\u5bfe\u3057\u3066\u6240\u8981\u6642\u9593\u304c\u6c7a\u307e\u3063\u3066\u3044\u308b\u3002<br>\u4eca\u56de\u306f\u4ee5\u4e0b\u306e\u5236\u7d04\u306e\u3082\u3068\u3067\u3001\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u6a5f\u68b0\u306b\u5272\u308a\u5f53\u3066\u3066\u3001\u5168\u3066\u306e\u30b8\u30e7\u30d6\u304c\u5b8c\u4e86\u3059\u308b\u307e\u3067\u306b\u304b\u304b\u308b\u6642\u9593\u3092\u6700\u5c0f\u5316\u3059\u308b\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u3042\u308b\u30b8\u30e7\u30d6\u306e\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u958b\u59cb\u6642\u523b\u306b\u306f\u3001\u9806\u5e8f\u304c\u4e0e\u3048\u3089\u308c\u308b<\/li>\n\n\n\n<li>\u6a5f\u68b0\u306f\u4e00\u5ea6\u306b\u30011\u3064\u306e\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u3057\u304b\u51e6\u7406\u3067\u304d\u306a\u3044<\/li>\n\n\n\n<li>\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u958b\u59cb\u3057\u305f\u3089\u3001\u9014\u4e2d\u3067\u306f\u4e2d\u65ad\u3067\u304d\u306a\u3044<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%9C%80%E9%81%A9%E5%8C%96%E5%95%8F%E9%A1%8C%E3%81%AE%E5%AE%9A%E5%BC%8F%E5%8C%96\"><\/span>\u6700\u9069\u5316\u554f\u984c\u306e\u5b9a\u5f0f\u5316<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><strong>\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u7a2e\u985e<\/strong>: \u30b8\u30e7\u30d6\u30b7\u30e7\u30c3\u30d7\u30fb\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u554f\u984c<br><strong>\u5909\u6570<\/strong>: $x_{i,t} \\in \\{0,1\\}$ (\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3$O_i$\u304c\u6642\u523b$t$\u306b\u59cb\u307e\u308b\u3068\u304d$1$, \u305d\u3046\u3067\u306a\u3051\u308c\u3070$0$)<br><strong>\u76ee\u7684\u95a2\u6570<\/strong>:<\/p>\n\n\n\n$$\nH_T(\\bar{x})\n=\n\\eta h_1(\\bar{x}) + \\alpha h_2(\\bar{x}) + \\beta h_3(\\bar{x})\n$$\n\n\n\n<p>\u305f\u3060\u3057\u3001$\\eta, \\alpha, \\beta &gt; 0$<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u30b8\u30e7\u30d6\u306e\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u9806\u756a\u3092\u5b88\u308b\u3053\u3068:<\/li>\n<\/ol>\n\n\n\n$$\nh_1(\\bar{x}) = \\sum_n (\\sum_{k_{n-1} < i < k_n,t+p_i > t&#8217;} x_{i,t}x_{i+1,t&#8217;})\n$$\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li>1\u3064\u306e\u6a5f\u68b0\u30671\u3064\u306e\u30b8\u30e7\u30d6\u3060\u3051\u884c\u306a\u3046\u3053\u3068:<\/li>\n<\/ol>\n\n\n\n$$\nh_2(\\bar{x}) = \\sum_m (\\sum_{(i,t,k,t&#8217;) \\in R_m} x_{i,t}x_{k,t&#8217;})\n$$\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li>1\u3064\u306e\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u958b\u59cb\u3057\u305f\u3089\u3001\u4e2d\u65ad\u3084\u518d\u958b\u3092\u3057\u306a\u3044\u3053\u3068:<\/li>\n<\/ol>\n\n\n\n$$\nh_3(\\bar{x}) = \\sum_i (\\sum_t x_{i,t}-1)^2\n$$\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><a href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/04\/cost_function-1.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/04\/cost_function-1.png\" alt=\"\u76ee\u7684\u95a2\u6570\u306e\u89e3\u8aac\" class=\"wp-image-65\" width=\"571\" height=\"276\"\/><\/a><figcaption class=\"wp-element-caption\">\u76ee\u7684\u95a2\u6570\u306e\u89e3\u8aac<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u5404\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u3068\u5b9f\u884c\u3059\u308b\u6a5f\u68b0\u306b\u5bfe\u3059\u308b\u6240\u8981\u6642\u9593\u306e\u4f8b\u3092\u793a\u3059\u3002\u306a\u304a\u3001$m$\u306f\u6a5f\u68b0\u3001$j$\u306f\u30b8\u30e7\u30d6\u3001$O$\u306f\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u8868\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><a href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/04\/ex_schedule_2-1.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/04\/ex_schedule_2-1.png\" alt=\"\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u3068\u6240\u8981\u6642\u9593\u306e\u4f8b\" class=\"wp-image-65\" width=\"561\" height=\"221\"\/><\/a><figcaption class=\"wp-element-caption\">\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u3068\u6240\u8981\u6642\u9593\u306e\u4f8b<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u4e0a\u8a18\u306e\u4f8b\u3092QUBO\u3078\u30de\u30c3\u30d4\u30f3\u30b0\u3057\u305f\u56f3\u3092\u793a\u3059\u3002$t$\u306f\u5358\u4f4d\u6642\u9593\u3092\u8868\u3057\u3066\u3044\u308b\u3002<br>\u8272\u4ed8\u304d\u306e\u30d6\u30ed\u30c3\u30af\u306f\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u958b\u59cb\u6642\u9593\u306e\u5019\u88dc\u3067\u3042\u308a\u3001\u8272\u4ed8\u304d\u306e\u30d6\u30ed\u30c3\u30af\u3092\u7d50\u3076\u70b9\u7dda\u306f\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u9806\u756a\u3092\u5b88\u308b\u3068\u3044\u3046\u5236\u7d04\u6761\u4ef6\u3067\u3042\u308b\u3002\u4e0a\u8a18\u306e\u4f8b\u304b\u3089\u3001\u6240\u8981\u6642\u9593\u304c2\u3067\u3042\u308b\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3$O_1$\u3092$t_2$\u306b\u958b\u59cb\u3059\u308b\u5834\u5408\u3001$O_2$\u3092$t_3$\u306b\u958b\u59cb\u3059\u308b\u3068\u9806\u756a\u3092\u5b88\u3063\u3066\u306a\u3044\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><a href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/04\/mapping.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/04\/mapping.png\" alt=\"QUBO\u3078\u306e\u30de\u30c3\u30d4\u30f3\u30b0\" class=\"wp-image-65\" width=\"379\" height=\"332\"\/><\/a><figcaption class=\"wp-element-caption\">QUBO\u3078\u306e\u30de\u30c3\u30d4\u30f3\u30b0<\/figcaption><\/figure>\n<\/div>\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"D-Wave%E3%83%9E%E3%82%B7%E3%83%B3%E5%AE%9F%E8%A3%85%E4%B8%8A%E3%81%AE%E5%B7%A5%E5%A4%AB\"><\/span>D-Wave\u30de\u30b7\u30f3\u5b9f\u88c5\u4e0a\u306e\u5de5\u592b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><strong>\u5909\u6570\u9078\u5b9a: <\/strong>\u30aa\u30da\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u9806\u756a\u306b\u5f93\u3063\u3066\u3044\u306a\u3044\u5909\u6570\u3092\u9078\u5b9a\u3059\u308b\u3002<\/p>\n\n\n\n<p><strong>\u6240\u8981\u6642\u9593\u306e\u63a8\u5b9a: <\/strong>\u53e4\u5178\u7684\u306a\u30bd\u30eb\u30d0\u30fc\u3092\u7528\u3044\u3066\u89e3\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u3001\u30b5\u30a4\u30ba$N = M$\u306b\u3088\u3063\u3066\u30d1\u30e9\u30e1\u30fc\u30bf\u5316\u3055\u308c\u305f\u5909\u6570\u306e\u7570\u306a\u308b\u30a2\u30f3\u30b5\u30f3\u30d6\u30eb\u306b\u5bfe\u3059\u308b\u3001\u6700\u9069\u306a\u6240\u8981\u6642\u9593\u306e\u5206\u5e03\u304c\u5f97\u3089\u308c\u308b\u3002\u3053\u306e\u5206\u5e03\u304b\u3089\u3001\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u4e8c\u5206\u63a2\u7d22\u3092\u5f97\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p><strong>\u30d1\u30e9\u30e1\u30fc\u30bf\u8a2d\u5b9a: <\/strong>\u300c\u30aa\u30d5\u30e9\u30a4\u30f3\u300d\u30d1\u30e9\u30e1\u30fc\u30bf\u8a2d\u5b9a<\/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>D-wave Two\u3092\u7528\u3044\u3066\u3001$H_{\\cal T}$\u306e\u57fa\u5e95\u72b6\u614b\u3067\u6210\u529f\u78ba\u7387\u304c99%\u306b\u9054\u3059\u308b\u307e\u3067\u306b\u304b\u304b\u308b\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u8a66\u884c\u56de\u6570(\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u6642\u9593\u306f20[$\\mu s$])\u306f\u3001\u554f\u984c\u30b5\u30a4\u30ba\u306e\u5897\u52a0\u306b\u4f34\u3063\u3066\u6307\u6570\u95a2\u6570\u7684\u306b\u5897\u52a0\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001D-Wave\u306e\u5b9f\u884c\u6642\u9593\u3068\u3001\u5b8c\u5168\u306a\u89e3\u304c\u51fa\u305b\u308b\u4e8c\u3064\u306e\u53e4\u5178\u7684\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0(\u5206\u679d\u9650\u5b9a\u6cd5\u3001MS\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0)\u306e\u5b9f\u884c\u6642\u9593\u3092\u6bd4\u8f03\u3057\u305f\u3002\u5206\u679d\u9650\u5b9a\u6cd5\u306e\u7d50\u679c\u306f\u3001D-Wave\u306e\u7d50\u679c\u3092\u4e0a\u56de\u3063\u305f\u3002\u4e00\u65b9\u3001MS\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3088\u3063\u3066\u89e3\u304f\u306e\u306b\u7d04$10^{-3}$\u79d2\u304b\u304b\u308b\u554f\u984c\u306b\u5bfe\u3057\u3066\u3001D-Wave\u3067\u306f\u305d\u306e\u534a\u6570\u3092\u7d04$10^{-4}$\u301c$10^{-5}$\u79d2\u3067\u89e3\u3044\u305f\u3002<br>\u4eca\u56de\u306e\u554f\u984c\u30b5\u30a4\u30ba\u306f\u5c0f\u3055\u3059\u304e\u308b\u305f\u3081\u3001\u3088\u308a\u591a\u304f\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u306b\u3088\u3063\u3066\u3001\u3088\u308a\u5927\u304d\u306a\u554f\u984c\u30b5\u30a4\u30ba\u306b\u5bfe\u3059\u308b\u6f38\u8fd1\u7684\u6319\u52d5\u3092\u5b9f\u8a3c\u3057\u6e2c\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\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>\u4e38\u5c71\u5c1a\u8cb4<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u732e\u60c5\u5831 \u6982\u8981 \u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u4e00\u3064\u3067\u3042\u308b\u30b8\u30e7\u30d6\u30b7\u30e7\u30c3\u30d7\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u554f\u984c\u3092\u5b9a\u5f0f\u5316\u3057\u3001\u3053\u308c\u3092D-Wave Two\u306b\u3088\u308a\u89e3\u3044\u305f\u3002 \u554f\u984c \u30b8\u30e7\u30d6\u30b7\u30e7\u30c3\u30d7\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u554f\u984c(JSP:Job Shop Scheduling [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[7,14,21,57,74,112],"class_list":["post-133","post","type-post","status-publish","format-standard","hentry","category-review","tag-1qbit","tag-d-wave-two","tag-karp21np","tag-57","tag-74","tag-112"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u30b8\u30e7\u30d6\u30b7\u30e7\u30c3\u30d7\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u554f\u984c\u3078\u306e\u5fdc\u7528 &quot;Job Shop Scheduling Solver based on Quantum Annealing&quot; by D. Venturelli, et al. (2015). - T-QARD Harbor<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/08\/job-shop-scheduling-solver-based-on-quantum-annealingmaruyama\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u30b8\u30e7\u30d6\u30b7\u30e7\u30c3\u30d7\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u554f\u984c\u3078\u306e\u5fdc\u7528 &quot;Job Shop Scheduling Solver based on Quantum Annealing&quot; by D. Venturelli, et al. (2015). - T-QARD Harbor\" \/>\n<meta property=\"og:description\" content=\"\u6587\u732e\u60c5\u5831 \u6982\u8981 \u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u4e00\u3064\u3067\u3042\u308b\u30b8\u30e7\u30d6\u30b7\u30e7\u30c3\u30d7\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u554f\u984c\u3092\u5b9a\u5f0f\u5316\u3057\u3001\u3053\u308c\u3092D-Wave Two\u306b\u3088\u308a\u89e3\u3044\u305f\u3002 \u554f\u984c \u30b8\u30e7\u30d6\u30b7\u30e7\u30c3\u30d7\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u554f\u984c(JSP:Job Shop Scheduling [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/08\/job-shop-scheduling-solver-based-on-quantum-annealingmaruyama\/\" \/>\n<meta property=\"og:site_name\" content=\"T-QARD Harbor\" \/>\n<meta property=\"article:published_time\" content=\"2018-05-08T08:30:17+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/04\/cost_function-1.png\" \/>\n<meta name=\"author\" content=\"Naoki Maruyama\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u57f7\u7b46\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Naoki Maruyama\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u63a8\u5b9a\u8aad\u307f\u53d6\u308a\u6642\u9593\" \/>\n\t<meta name=\"twitter:data2\" content=\"5\u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/qard.is.tohoku.ac.jp\\\/T-Wave\\\/2018\\\/05\\\/08\\\/job-shop-scheduling-solver-based-on-quantum-annealingmaruyama\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/qard.is.tohoku.ac.jp\\\/T-Wave\\\/2018\\\/05\\\/08\\\/job-shop-scheduling-solver-based-on-quantum-annealingmaruyama\\\/\"},\"author\":{\"name\":\"Naoki Maruyama\",\"@id\":\"https:\\\/\\\/qard.is.tohoku.ac.jp\\\/T-Wave\\\/#\\\/schema\\\/person\\\/3a17acb3c28602d725c5c68ab5143f6c\"},\"headline\":\"\u30b8\u30e7\u30d6\u30b7\u30e7\u30c3\u30d7\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u554f\u984c\u3078\u306e\u5fdc\u7528 &#8220;Job Shop Scheduling Solver based on Quantum Annealing&#8221; by D. 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