{"id":51,"date":"2018-03-12T05:25:28","date_gmt":"2018-03-11T20:25:28","guid":{"rendered":"http:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=51"},"modified":"2018-03-12T05:25:28","modified_gmt":"2018-03-11T20:25:28","slug":"51","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/03\/12\/51\/","title":{"rendered":"\u4ea4\u901a\u6e0b\u6ede\u7de9\u548c\u306e\u305f\u3081\u306e\u7d4c\u8def\u9078\u629e\u3078\u306e\u5fdc\u7528 &#8220;Traffic Flow Optimization Using a Quantum Annealer&#8221; by Florian Neukart, et al. (2017)."},"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\/03\/12\/51\/#%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\/03\/12\/51\/#%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\/03\/12\/51\/#%E6%96%B9%E6%B3%95\" >\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-4\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/03\/12\/51\/#%E6%96%B9%E9%87%9D\" >\u65b9\u91dd<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/03\/12\/51\/#%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-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/03\/12\/51\/#%E7%94%A8%E3%81%84%E3%81%9F%E3%83%87%E3%83%BC%E3%82%BF%E3%82%BB%E3%83%83%E3%83%88\" >\u7528\u3044\u305f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8<\/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\/2018\/03\/12\/51\/#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><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/03\/12\/51\/#%E8%AB%96%E6%96%87%E3%81%AE%E7%B5%90%E6%9E%9C\" >\u8ad6\u6587\u306e\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-9\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/03\/12\/51\/#%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:\/\/www.frontiersin.org\/articles\/10.3389\/fict.2017.00029\/full\">Traffic Flow Optimization Using a Quantum Annealer<\/a><\/li>\n\n\n\n<li>\u8457\u8005: <a class=\"user-id-465670\" href=\"http:\/\/www.frontiersin.org\/people\/u\/465670\">Florian Neukart<\/a>, <a class=\"user-id-483960\" href=\"http:\/\/www.frontiersin.org\/people\/u\/483960\">Gabriele Compostella<\/a>, Christian<br>Seidel, David von Dollen, <a class=\"user-id-355321\" href=\"http:\/\/www.frontiersin.org\/people\/u\/355321\">Sheir Yarkoni<\/a> and Bob Parney<\/li>\n\n\n\n<li>\u66f8\u8a8c\u60c5\u5831: Frontiers in ICT <strong>4<\/strong>, 29 (2017). (doi: <a href=\"https:\/\/www.frontiersin.org\/articles\/10.3389\/fict.2017.00029\/full\">10.3389\/fict.2017.00029<\/a>)<\/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>\u4ea4\u901a\u6e0b\u6ede\u3092\u7de9\u548c\u3059\u308b\u305f\u3081\u306b\u8907\u6570\u53f0\u306e\u8eca\u306e\u7d4c\u8def\u9078\u629e\u3092\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3068\u3057\u3066\u5b9a\u5f0f\u5316\u3057\u3001\u3053\u308c\u3092D-Wave 2X\u306b\u3088\u308a\u89e3\u3044\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%96%B9%E6%B3%95\"><\/span>\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=\"%E6%96%B9%E9%87%9D\"><\/span>\u65b9\u91dd<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u53e4\u5178: \u73fe\u6642\u70b9\u306e\u4f4d\u7f6e\u304b\u3089\u76ee\u7684\u5730\u307e\u3067\u306e\u7d4c\u8def\u3092\u5404\u8eca\u4e21\u3054\u3068\u306b3\u3064\u7528\u610f\u3059\u308b<br>\u91cf\u5b50: \u5404\u8eca\u4e21\u306e\u53d6\u308b\u7d4c\u8def\u3092\u76ee\u7684\u95a2\u6570\u3092\u6700\u5c0f\u5316\u3059\u308b\u3088\u3046\u306b\u9078\u629e\u3059\u308b<\/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\/03\/VW_Fig1.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/03\/VW_Fig1.png\" alt=\"\" class=\"wp-image-60\" width=\"340\" height=\"291\"\/><\/a><figcaption class=\"wp-element-caption\">\u4e8b\u524d\u306b\u53e4\u5178\u8a08\u7b97\u6a5f\u30673\u3064\u306e\u7d4c\u8def\u3092\u63a2\u7d22\u3057\u3066\u304a\u304f\u3002\u9078\u3070\u308c\u305f\u7d4c\u8def\u306b\u5bfe\u5fdc\u3059\u308b\u4e8c\u5024\u5909\u6570\u306e\u307f1\u3068\u306a\u308b\u3088\u3046\u306a\u4e8c\u5024\u5909\u6570\u306b\u95a2\u3059\u308b\u7d44\u5408\u305b\u6700\u9069\u5316\u3092D-Wave\u30de\u30b7\u30f3\u306b\u3088\u308a\u884c\u3046\u3002<\/figcaption><\/figure>\n<\/div>\n\n\n<h3 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><\/h3>\n\n\n\n<p><strong>\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u7a2e\u985e<\/strong>: \u4e8c\u5024\u6574\u6570\u7dda\u578b\u8a08\u753b\u554f\u984c<br><strong>\u5909\u6570<\/strong>: $q_{ij} \\in \\{0, 1\\}$ (\u8eca$i$\u304c\u7d4c\u8def $j \\in {1, 2, 3}$\u3092\u53d6\u308c\u3070$1$, \u305d\u3046\u3067\u306a\u3051\u308c\u3070$0$)<br><strong>\u76ee\u7684\u95a2\u6570<\/strong>:<\/p>\n\n\n\n$$\n\\mathrm{Obj}\n=\n\\sum_{s\\in S} \\left(\n    \\sum_i \\sum_j \\sum_{s \\in S_{ij}} q_{ij}\n\\right)^2\n+ \\lambda \\sum_i \\left(\n    \\sum_j q_{ij} &#8211; 1\n\\right)^2\n$$\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\/03\/VW_Fig2.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/03\/VW_Fig2.png\" alt=\"\u76ee\u7684\u95a2\u6570\u306e\u89e3\u8aac\" class=\"wp-image-65\" width=\"553\" height=\"404\"\/><\/a><figcaption class=\"wp-element-caption\">\u76ee\u7684\u95a2\u6570\u306e\u89e3\u8aac<\/figcaption><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%94%A8%E3%81%84%E3%81%9F%E3%83%87%E3%83%BC%E3%82%BF%E3%82%BB%E3%83%83%E3%83%88\"><\/span>\u7528\u3044\u305f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u516c\u958b\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e<a href=\"https:\/\/www.microsoft.com\/en-us\/research\/publication\/t-drive-trajectory-data-sample\/\" target=\"_blank\" rel=\"noopener\">T-Drive trajectory dataset<\/a>\u306e\u4e2d\u304b\u3089\u3001\u5317\u4eac\u306e\u8857\u306e\u4e2d\u5fc3\u3068\u5317\u4eac\u7a7a\u6e2f\u306e\u9593\u3092\u884c\u304d\u6765\u3059\u308b418\u53f0\u306e\u8eca\u306eGPS\u30c7\u30fc\u30bf\u3092\u4eca\u56de\u306e\u554f\u984c\u306e\u5bfe\u8c61\u3068\u3057\u3066\u62bd\u51fa\u3057\u305f\u3002\u307e\u305f\u3001<a href=\"https:\/\/github.com\/gboeing\/osmnx\" target=\"_blank\" rel=\"noopener\">OSMnx<\/a>\u3068\u3044\u3046\u30c4\u30fc\u30eb\u3092\u7528\u3044\u3066\u5317\u4eac\u306e\u8857\u306e\u5730\u56f3\u304b\u3089\u4ea4\u5dee\u70b9\u3092\u30ce\u30fc\u30c9\u3001\u305d\u306e\u9593\u3092\u7e4b\u3050\u9053\u8def\u3092\u30bb\u30b0\u30e1\u30f3\u30c8\u3068\u3057\u3066\u62bd\u51fa\u3057\u3001\u5148\u8ff0\u306eGPS\u30c7\u30fc\u30bf\u3092\u305d\u308c\u3089\u306e\u4e0a\u306b\u30de\u30c3\u30d4\u30f3\u30b0\u3057\u305f\u3082\u306e\u3092\u5165\u529b\u30c7\u30fc\u30bf\u3068\u3057\u305f\u3002<\/p>\n\n\n\n<h3 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><\/h3>\n\n\n\n<p class=\"has-text-align-center\">\u6700\u9069\u5316\u5909\u6570\u306e\u6570 = 1,254\u5909\u6570\uff08=418\u53f0\u00d73\u7d4c\u8def\uff09<\/p>\n\n\n\n<p>1,024\u91cf\u5b50\u30d3\u30c3\u30c8\u306eD-Wave 2X\u3067\u306f\u3053\u306e\u6570\u306e\u4e8c\u5024\u5909\u6570\u3092\u6271\u3046\u3053\u3068\u304c\u3067\u304d\u306a\u3044\u3002qbsolv\u30e9\u30a4\u30d6\u30e9\u30ea\u3092\u7528\u3044\u305f\u9010\u6b21\u6700\u9069\u5316\u3092\u7528\u3044\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%AB%96%E6%96%87%E3%81%AE%E7%B5%90%E6%9E%9C\"><\/span>\u8ad6\u6587\u306e\u7d50\u679c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>D-wave 2X (qbsolv)\u3092\u7528\u3044\u3066\u89e3\u3044\u305f\u7d50\u679c\u3092\u5143\u306b\u8eca\u306e\u4f4d\u7f6e\u306e\u518d\u914d\u7f6e\u3092\u884c\u3063\u305f\u3002\u8eca\u304c\u901a\u308b\u5168\u30eb\u30fc\u30c8\u306e\u4e2d\u3067\u306e\u5404\u30bb\u30b0\u30e1\u30f3\u30c8\u306e\u767b\u5834\u56de\u6570\u3092\u6df7\u96d1\u5ea6\u306e\u6307\u6a19\u3068\u3057\u3001\u3053\u306e\u56de\u6570\u304c10\u56de\u3092\u8d85\u3048\u308b\u30bb\u30b0\u30e1\u30f3\u30c8\u3092\u6df7\u96d1\u3057\u3066\u3044\u308b\u9053\u8def\u3068\u3057\u3066\u3001\u305d\u306e\u6570\u3092\u7528\u3044\u3066\u7d50\u679c\u3092\u8a55\u4fa1\u3057\u305f\u3002\u305d\u306e\u7d50\u679c\u3001\u6df7\u96d1\u3057\u3066\u3044\u308b\u9053\u8def\u306e\u6570\u306f\u5143\u3005\u306e\u5165\u529b\u30c7\u30fc\u30bf\u3084\u30e9\u30f3\u30c0\u30e0\u306b\u8eca\u3092\u518d\u914d\u7f6e\u3057\u305f\u5834\u5408\u306b\u6bd4\u3079\u3066\u6709\u610f\u306b\u6539\u5584\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u305f\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u8a08\u7b97\u306f50\u56de\u884c\u3063\u305f\u304c\u3001qbsolv\u306b\u30c7\u30fc\u30bf\u3092\u5165\u529b\u3057\u3066\u304b\u3089D-Wave 2X\u3067\u8a08\u7b97\u3055\u308c\u305f\u7d50\u679c\u304c\u5e30\u3063\u3066\u304f\u308b\u307e\u3067\u306e\u6642\u9593\u306e\u4e2d\u3067\u6700\u5c0f\u306e\u3082\u306e\u306f\u30af\u30e9\u30a6\u30c9\u3084\u51e6\u7406\u5f85\u3061\u306b\u3088\u308b\u5f71\u97ff\u304c\u6700\u3082\u5c0f\u3055\u3044\u3068\u8003\u3048\u3001\u8a08\u7b97\u6642\u9593\u3092\u8a08\u6e2c\u3059\u308b\u3068\u300122\u79d2\u3068\u3044\u3046\u7d50\u679c\u304c\u5f97\u3089\u308c\u305f\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>\u9234\u6728\u6d77\u6e21\uff08\u7de8\u96c6\uff1a\u89b3\u5c71\u6b63\u9053\uff09<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6587\u732e\u60c5\u5831 \u6982\u8981 \u4ea4\u901a\u6e0b\u6ede\u3092\u7de9\u548c\u3059\u308b\u305f\u3081\u306b\u8907\u6570\u53f0\u306e\u8eca\u306e\u7d4c\u8def\u9078\u629e\u3092\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3068\u3057\u3066\u5b9a\u5f0f\u5316\u3057\u3001\u3053\u308c\u3092D-Wave 2X\u306b\u3088\u308a\u89e3\u3044\u305f\u3002 \u65b9\u6cd5 \u65b9\u91dd \u53e4\u5178: \u73fe\u6642\u70b9\u306e\u4f4d\u7f6e\u304b\u3089\u76ee\u7684\u5730\u307e\u3067\u306e\u7d4c\u8def\u3092\u5404\u8eca\u4e21\u3054\u3068\u306b3\u3064\u7528\u610f\u3059\u308b\u91cf\u5b50:  [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[12,44,75,77,93,112],"class_list":["post-51","post","type-post","status-publish","format-standard","hentry","category-review","tag-d-wave-2x","tag-volkswagen","tag-75","tag-77","tag-93","tag-112"],"yoast_head":"<!-- This site is optimized with the Yoast SEO 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