{"id":7927,"date":"2025-11-17T18:00:05","date_gmt":"2025-11-17T09:00:05","guid":{"rendered":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=7927"},"modified":"2025-11-22T13:32:42","modified_gmt":"2025-11-22T04:32:42","slug":"%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%82%92%e7%94%a8%e3%81%84%e3%81%9f%e4%ba%a4%e9%80%9a%e6%9c%80%e9%81%a9%e5%8c%96","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/11\/17\/qa-traffic-signals","title":{"rendered":"\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u7528\u3044\u305f\u4ea4\u901a\u6700\u9069\u5316"},"content":{"rendered":"<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\/2025\/11\/17\/qa-traffic-signals\/#%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\/2025\/11\/17\/qa-traffic-signals\/#%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\/2025\/11\/17\/qa-traffic-signals\/#%E8%83%8C%E6%99%AF\" >\u80cc\u666f<\/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\/2025\/11\/17\/qa-traffic-signals\/#%E9%87%8F%E5%AD%90%E3%82%A2%E3%83%8B%E3%83%BC%E3%83%AA%E3%83%B3%E3%82%B0\" >\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0<\/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\/2025\/11\/17\/qa-traffic-signals\/#%E4%BA%A4%E9%80%9A%E6%9C%80%E9%81%A9%E5%8C%96\" >\u4ea4\u901a\u6700\u9069\u5316<\/a><\/li><\/ul><\/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\/2025\/11\/17\/qa-traffic-signals\/#%E6%89%8B%E6%B3%95\" >\u624b\u6cd5<\/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\/2025\/11\/17\/qa-traffic-signals\/#%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-8\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/11\/17\/qa-traffic-signals\/#%E5%AE%9A%E5%BC%8F%E5%8C%96\" >\u5b9a\u5f0f\u5316<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/11\/17\/qa-traffic-signals\/#%E7%9B%AE%E7%9A%84%E9%96%A2%E6%95%B0\" >\u76ee\u7684\u95a2\u6570<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/11\/17\/qa-traffic-signals\/#%E6%96%B9%E9%87%9D1%E3%81%AE%E9%A0%85\" >\u65b9\u91dd1\u306e\u9805<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/11\/17\/qa-traffic-signals\/#%E6%96%B9%E9%87%9D2%E3%81%AE%E9%A0%85\" >\u65b9\u91dd2\u306e\u9805<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/11\/17\/qa-traffic-signals\/#%E5%88%B6%E7%B4%84%E9%A0%85\" >\u5236\u7d04\u9805<\/a><\/li><\/ul><\/li><\/ul><\/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\/2025\/11\/17\/qa-traffic-signals\/#%E5%AE%9F%E9%A8%93\" >\u5b9f\u9a13<\/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\/2025\/11\/17\/qa-traffic-signals\/#%E6%96%B9%E6%B3%95\" >\u65b9\u6cd5<\/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\/2025\/11\/17\/qa-traffic-signals\/#%E7%B5%90%E6%9E%9C\" >\u7d50\u679c<\/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\/2025\/11\/17\/qa-traffic-signals\/#%E3%81%BE%E3%81%A8%E3%82%81\" >\u307e\u3068\u3081<\/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\/2025\/11\/17\/qa-traffic-signals\/#%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\" >\u3042\u3068\u304c\u304d<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/11\/17\/qa-traffic-signals\/#%E5%8F%82%E8%80%83%E6%96%87%E7%8C%AE\" >\u53c2\u8003\u6587\u732e<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/11\/17\/qa-traffic-signals\/#%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><\/nav><\/div>\n<h2><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<ul>\n<li>\u30bf\u30a4\u30c8\u30eb : Optimal control of traffic signals using quantum annealing<\/li>\n<li>\u8457\u8005 : Hasham Hussaln, Muhammad Bln Javald \u4ed6<\/li>\n<li>\u66f8\u7c4d\u60c5\u5831 : <a href=\"https:\/\/doi.org\/10.1007\/s11128-020-02815-1\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.1007\/s11128-020-02815-1<\/a><\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"%E6%A6%82%E8%A6%81\"><\/span>\u6982\u8981<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u3053\u306e\u8ad6\u6587\u3067\u306f\u3001\u4ea4\u5dee\u70b9\u3067\u5f85\u6a5f\u3059\u308b\u8eca\u4e21\u6570\u3068\u96a3\u63a5\u3059\u308b\u4ea4\u5dee\u70b9\u306e\u4fe1\u53f7\u72b6\u6cc1\u3092\u3082\u3068\u306b\u3001\u9069\u5207\u306a\u4fe1\u53f7\u3092\u9078\u629e\u3059\u308b\u3068\u3044\u3046\u4ea4\u901a\u4fe1\u53f7\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304f\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8003\u3048\u307e\u3059\u3002<\/p>\n<p>\u305d\u306e\u554f\u984c\u3092\u89e3\u304f\u305f\u3081\u306b\u3053\u306e\u8ad6\u6587\u3067\u306f\u52b9\u7387\u306e\u826f\u3044\u4fe1\u53f7\u5236\u5fa1\u306e\u305f\u3081\u3001\u300c\u3088\u308a\u591a\u304f\u306e\u8eca\u3092\u6d41\u3059\u300d\u70b9\u3068\u3001\u300c\u3088\u308a\u96a3\u63a5\u4ea4\u5dee\u70b9\u304b\u3089\u30b9\u30e0\u30fc\u30ba\u306b\u6d41\u308c\u308b\u3088\u3046\u306b\u3059\u308b\u300d\u3068\u3044\u30462\u70b9\u306b\u7740\u76ee\u3057\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u7528\u306b\u5b9a\u5f0f\u5316\u3057\u307e\u3057\u305f\u3002<br \/>\n\u305d\u306e\u7d50\u679c\u3001\u5b9a\u5f0f\u5316\u3057\u305f\u5f0f\u3068\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u7528\u3044\u3066\u3001\u3088\u308a\u52b9\u7387\u306e\u826f\u3044\u4fe1\u53f7\u306e\u7d44\u307f\u5408\u308f\u305b\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f.<\/p>\n<div id=\"attachment_8257\" style=\"width: 1034px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-8257\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/abstractimage-1-1024x615.png\" alt=\"\u4ea4\u901a\u72b6\u6cc1\u306b\u5fdc\u3058\u3066QUBO\u5b9a\u5f0f\u5316\u3092\u3057\u3001\u5f97\u3089\u308c\u305f\u89e3\u3092\u3082\u3068\u306b\u4fe1\u53f7\u72b6\u6cc1\u3092\u5272\u308a\u5f53\u3066\u308b\" width=\"1024\" height=\"615\" class=\"size-large wp-image-8257\" srcset=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/abstractimage-1-1024x615.png 1024w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/abstractimage-1-300x180.png 300w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/abstractimage-1-768x461.png 768w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/abstractimage-1-1536x923.png 1536w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/abstractimage-1-2048x1231.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><p id=\"caption-attachment-8257\" class=\"wp-caption-text\">\u56f31 \u6982\u8981\u56f3<\/p><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%E8%83%8C%E6%99%AF\"><\/span>\u80cc\u666f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4ea4\u901a\u4fe1\u53f7\u6700\u9069\u5316\u554f\u984c\u3092\u5f93\u6765\u306e\u53e4\u5178\u7684\u306a\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3067\u53e4\u5178\u7684\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u89e3\u3053\u3046\u3068\u3059\u308b\u3068\u3001\u8a08\u7b97\u6642\u9593\u304c\u6307\u6570\u95a2\u6570\u7684\u306b\u304b\u304b\u3063\u3066\u3057\u307e\u3046\u554f\u984c\u304c\u3042\u308a\u307e\u3059\u3002 \u3057\u304b\u3057\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u305d\u306e\u554f\u984c\u3092\u9ad8\u901f\u306b\u89e3\u304f\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E9%87%8F%E5%AD%90%E3%82%A2%E3%83%8B%E3%83%BC%E3%83%AA%E3%83%B3%E3%82%B0\"><\/span>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u3053\u3053\u3067\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306b\u3064\u3044\u3066\u8efd\u304f\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u3001\u9580\u8107\u30fb\u897f\u68ee\u306b\u3088\u3063\u3066\u63d0\u6848\u3055\u308c\u305f[1]\u7269\u7406\u7684\u306a\u91cf\u5b50\u52b9\u679c\u3092\u7528\u3044\u3066\u7d44\u307f\u5408\u308f\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304f\u624b\u6cd5\u3067\u3059\u3002 \u5f0f(1) \u306e\u3088\u3046\u306a <strong>\u30b3\u30b9\u30c8\u95a2\u6570\\(E(x)\\)\u304c\u6700\u3082\u5c0f\u3055\u304f\u306a\u308b\u3088\u3046\u306a<\/strong>\u30d9\u30af\u30c8\u30eb$x$\u3001\u3064\u307e\u308a\u3001$x_i$\u306e\u7d44\u307f\u5408\u308f\u305b\u3092\u6c42\u3081\u308b\u30012\u6b21\u5236\u7d04\u306a\u3057\u4e8c\u5024\u6700\u9069\u5316\u554f\u984c(QUBO)\u3092\u89e3\u304f\u306e\u3092\u5f97\u610f\u3068\u3057\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\tag{1}<br \/>\n\\begin{aligned}<br \/>\nE(\\bm x) = \\sum_i \\sum_j Q_{i j} x_i x_j<br \/>\n\\end{aligned}<br \/>\n$$<br \/>\n\u3053\u3053\u3067\u3001$x_i$\u306f\u6c42\u3081\u308b\u5bfe\u8c61\u3067\u3042\u308b\u30010\u304b1\u3092\u6301\u3064\u30d0\u30a4\u30ca\u30ea(\u4e8c\u5024)\u5909\u6570\u3067\u3059\u3002 $Q_{ij}$\u306f\u6c42\u3081\u308b\u6700\u9069\u5316\u554f\u984c\u306b\u3088\u3063\u3066\u7570\u306a\u308b\u5b9f\u6570\u306e\u884c\u5217\u306e\u8981\u7d20\u3067\u3001$Q_{ij}$\u3092\u4e26\u3079\u305f\u884c\u5217\u3092QUBO\u884c\u5217\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E4%BA%A4%E9%80%9A%E6%9C%80%E9%81%A9%E5%8C%96\"><\/span>\u4ea4\u901a\u6700\u9069\u5316<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u306a\u305c\u4ea4\u901a\u6700\u9069\u5316\u304c\u6c42\u3081\u3089\u308c\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\u5e73\u621018\u5e74\u306e\u56fd\u571f\u4ea4\u901a\u7701\u306e\u5831\u544a\u306b\u3088\u308c\u3070\u3001\u5168\u56fd\u306b\u5e74\u9593\u3067\u767a\u751f\u3059\u308b\u6e0b\u6ede\u640d\u5931\u306f\u8ca8\u5e63\u4fa1\u5024\u63db\u7b97\u3067\u7d0412\u5104\u5186\u3067\u3042\u308a\u3001\u74b0\u5883\u554f\u984c\u3084\u7d4c\u6e08\u52b9\u7387\u306e\u4f4e\u4e0b\u3092\u5f15\u304d\u8d77\u3053\u3057\u3066\u3044\u308b\u3068\u3055\u308c\u3066\u3044\u307e\u3059[2]\u3002 \u7279\u306b\u6e0b\u6ede\u306b\u3088\u308bCO2\u306e\u6392\u51fa\u91cf\u5897\u52a0\u306f\u6c17\u5019\u5909\u52d5\u5bfe\u7b56\u306e\u89b3\u70b9\u304b\u3089\u3082\u6df1\u523b\u306a\u554f\u984c\u3067\u3059\u3002<br \/>\n\u305d\u306e\u305f\u3081\u4fe1\u53f7\u6700\u9069\u5316\u306e\u5c0e\u5165\u306f\u4ea4\u901a\u6700\u9069\u5316\u306b\u5bfe\u3057\u52b9\u679c\u7684\u3067\u3042\u308b\u3068\u8003\u3048\u3089\u308c\u3066\u3044\u307e\u3059\u3002 1984\u5e74\u306b\u306f\u5f53\u6642\u306e\u30aa\u30ea\u30f3\u30d4\u30c3\u30af\u306e\u305f\u3081\u306b\u30ed\u30b5\u30f3\u30bc\u30eb\u30b9\u5e02\u4ea4\u901a\u5c40(LADOT)\u304cATSAC\u3068\u547c\u3070\u308c\u308b\u4fe1\u53f7\u5236\u5fa1\u3092\u5c0e\u5165\u3057\u307e\u3057\u305f\u3002 \u305d\u306e\u7d50\u679c\u79fb\u52d5\u901f\u5ea6\u306e13%\u306e\u5897\u52a0\u300132%\u306e\u4ea4\u901a\u9045\u5ef6(\u79fb\u52d5\u306b\u304b\u304b\u308b\u6642\u9593)\u306e\u524a\u6e1b\u30013%\u306e\u6392\u51fa\u91cf\u306e\u524a\u6e1b\u3092\u3082\u305f\u3089\u3057\u305f\u3068\u5831\u544a\u3055\u308c\u3066\u3044\u307e\u3059[3][4]\u3002<\/p>\n<p>\u3053\u306e\u3088\u3046\u306b\u4ea4\u901a\u6700\u9069\u5316\u306f\u73fe\u72b6\u5927\u304d\u306a\u8ab2\u984c\u3067\u3042\u308a\u3001\u3053\u308c\u306b\u5bfe\u3057\u3066\u306e\u4fe1\u53f7\u6700\u9069\u5316\u306e\u5c0e\u5165\u306f\u5927\u304d\u306a\u5229\u70b9\u3092\u3082\u3064\u3082\u306e\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E6%89%8B%E6%B3%95\"><\/span>\u624b\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u3053\u306e\u554f\u984c\u3067\u306f\u56f32\u306e\u3088\u3046\u306a\u9053\u8def\u7db2\u3092\u8003\u3048\u307e\u3059\u3002 \u3053\u3053\u306b\u306f\u5341\u5b57\u306e\u5f62\u3092\u3057\u305f\u5404\u4ea4\u5dee\u70b9\u306b\u4fe1\u53f7\u6a5f\u304c\u8a2d\u7f6e\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<div id=\"attachment_8259\" style=\"width: 379px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-8259\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig1-1.png\" alt=\"\u683c\u5b50\u72b6\u306b\u4f5c\u3089\u308c\u305f\u9053\u8def\u7db2\" width=\"369\" height=\"266\" class=\"size-full wp-image-8259\" srcset=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig1-1.png 369w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig1-1-300x216.png 300w\" sizes=\"auto, (max-width: 369px) 100vw, 369px\" \/><p id=\"caption-attachment-8259\" class=\"wp-caption-text\">\u56f32 \u683c\u5b50\u72b6\u9053\u8def\u7db2<br \/><small><a href=\"https:\/\/doi.org\/10.1007\/s11128-020-02815-1\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.1007\/s11128-020-02815-1<\/a><\/small><\/p><\/div>\n<p>\u305d\u308c\u305e\u308c\u306e\u4ea4\u5dee\u70b9\u306b\u3042\u308b\u4fe1\u53f7\u306f \u56f33 \u306b\u793a\u30596\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u3067\u52d5\u4f5c\u3057\u307e\u3059\u3002 \u3053\u306e6\u3064\u306e\u30d1\u30bf\u30fc\u30f3\u3092\u8ad6\u6587\u3067\u306f\u300c\u30e2\u30fc\u30c9\u300d\u3068\u8868\u73fe\u3057\u3066\u3044\u307e\u3059\u3002 \u306a\u304a\u4eca\u56de\u306f\u4fe1\u53f7\u306e\u72b6\u614b\u306b\u304b\u304b\u308f\u3089\u305a\u3001\u5e38\u306b\u5de6\u6298\u3067\u304d\u308b\u3082\u306e\u3068\u3057\u307e\u3059\u3002<\/p>\n<div id=\"attachment_8263\" style=\"width: 516px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-8263\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig2-1.png\" alt=\"6\u7a2e\u985e\u306e\u30e2\u30fc\u30c9\u304c\u5b58\u5728\u3059\u308b.\" width=\"506\" height=\"321\" class=\"size-full wp-image-8263\" srcset=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig2-1.png 506w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig2-1-300x190.png 300w\" sizes=\"auto, (max-width: 506px) 100vw, 506px\" \/><p id=\"caption-attachment-8263\" class=\"wp-caption-text\">\u56f33 6\u7a2e\u985e\u306e\u30e2\u30fc\u30c9<br \/><small><a href=\"https:\/\/doi.org\/10.1007\/s11128-020-02815-1\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.1007\/s11128-020-02815-1<\/a><\/small><\/p><\/div>\n<h3><span class=\"ez-toc-section\" id=\"%E6%96%B9%E9%87%9D\"><\/span>\u65b9\u91dd<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u4eca\u56de\u306f\u4fe1\u53f7\u306b\u6b21\u306e\u3088\u3046\u306a\u52d5\u4f5c\u3092\u3055\u305b\u308b\u3053\u3068\u3067\u4ea4\u901a\u4fe1\u53f7\u6700\u9069\u5316\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n<ol>\n<li>\u505c\u8eca\u4e2d\u306e\u8eca\u3092\u3067\u304d\u308b\u9650\u308a\u6e1b\u3089\u3059<br \/>\n\u305d\u308c\u305e\u308c\u306e\u4ea4\u5dee\u70b9\u3067\u505c\u8eca\u3059\u308b\u8eca\u304c\u3067\u304d\u308b\u9650\u308a\u6e1b\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/li>\n<li>\u4fe1\u53f7\u304c\u9023\u7d9a\u3059\u308b\u4ea4\u5dee\u70b9\u3067\u9023\u7d9a\u7684\u306b\u8eca\u304c\u901a\u308c\u308b\u3088\u3046\u306b\u3059\u308b<br \/>\n\u524d\u306e\u4ea4\u5dee\u70b9\u304b\u3089\u6765\u305f\u8eca\u304c\u73fe\u5728\u306e\u4ea4\u5dee\u70b9\u3067\u6975\u529b\u6b62\u307e\u3089\u305a\u306b\u9032\u3081\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"%E5%AE%9A%E5%BC%8F%E5%8C%96\"><\/span>\u5b9a\u5f0f\u5316<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5148\u307b\u3069\u793a\u3057\u305f\u65b9\u91dd\u3092\u3082\u3068\u306b\u3001\u4ea4\u901a\u4fe1\u53f7\u6700\u9069\u5316\u554f\u984c\u3092QUBO\u5f62\u5f0f\u3067\u5b9a\u5f0f\u5316\u3057\u307e\u3059\u3002<\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E7%9B%AE%E7%9A%84%E9%96%A2%E6%95%B0\"><\/span>\u76ee\u7684\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u307e\u305a\u6c42\u3081\u308b\u5bfe\u8c61\u306e\u4e8c\u5024\u5909\u6570$x_{i j}$\u306f\u4fe1\u53f7$i$\u306e\u30e2\u30fc\u30c9\u304c$j$\u3067\u3042\u308b\u3068\u304d1\u3001\u305d\u308c\u4ee5\u5916\u306e\u66420\u3068\u3057\u307e\u3059\u3002 \u305f\u3068\u3048\u3070\u3001\u901a\u3057\u756a\u53f73\u306e\u4ea4\u5dee\u70b9\u306e\u30e2\u30fc\u30c9\u304c4\u3067\u3042\u308b\u3053\u3068\u306f\u3001<br \/>\n$$<br \/>\n\\tag{2}<br \/>\n\\begin{aligned}<br \/>\nx_{31}=0, x_{32}=0, x_{33}=0, x_{34}=1, x_{35}=0, x_{36}=0<br \/>\n\\end{aligned}<br \/>\n$$<br \/>\n\u3068\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u305d\u3057\u3066\u76ee\u7684\u95a2\u6570\u306e\u5168\u4f53\u3092\u3001\u65b9\u91dd1\u3092\u9054\u6210\u3055\u305b\u308b\u9805$Q_1$\u3001\u65b9\u91dd2\u3092\u9054\u6210\u3055\u305b\u308b\u9805$Q_2$\u3001\u305d\u3057\u3066\u5909\u6570\u306e\u5236\u7d04\u3092\u6e80\u305f\u3055\u305b\u308b\u305f\u3081\u306e\u5236\u7d04\u9805$Q_3$\u306e\u548c\u3067\u3042\u308b\u3001<br \/>\n$$<br \/>\n\\tag{3}<br \/>\n\\begin{aligned}<br \/>\nE(x)=Q_1 + Q_2 + Q_3<br \/>\n\\end{aligned}<br \/>\n$$<br \/>\n\u3068\u3057\u307e\u3059\u3002 \u3053\u306e$E(x)$\u3092\u6700\u5c0f\u5316\u3059\u308b$x$\u304c\u6700\u9069\u306a\u4fe1\u53f7\u306e\u7d44\u307f\u5408\u308f\u305b\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306b\u5404\u9805\u306e\u8a73\u3057\u3044\u8aac\u660e\u3092\u3057\u307e\u3059\u3002<\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E6%96%B9%E9%87%9D1%E3%81%AE%E9%A0%85\"><\/span>\u65b9\u91dd1\u306e\u9805<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u307e\u305a\u306f\u3001\u65b9\u91dd1\u3092\u5b9a\u5f0f\u5316\u3057\u307e\u3059\u3002 \u65b9\u91dd1\u306f\u3001\u300c\u4fe1\u53f7\u304c\u505c\u8eca\u4e2d\u306e\u8eca\u3092\u3067\u304d\u308b\u9650\u308a\u6e1b\u3089\u3059\u3088\u3046\u306b\u6a5f\u80fd\u3059\u308b\u300d\u3067\u3059\u3002 \u3053\u306e\u65b9\u91dd\u3092\u9054\u6210\u3055\u305b\u308b\u305f\u3081\u306e\u9805\u306f\u5f0f4\u306e\u3088\u3046\u306b\u793a\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\tag{4}<br \/>\n\\begin{aligned}<br \/>\nQ_1 = -\\lambda_1 \\sum_i \\sum_{j=1}^6 C_{ij} x_{ij}<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u3053\u3053\u3067\u3001$C_{ij}$\u306f$x_{ij}=1$\u306e\u6642(\u4ea4\u5dee\u70b9$i$\u306e\u30e2\u30fc\u30c9\u304c$j$\u306e\u6642)\u306b\u3069\u308c\u304f\u3089\u3044\u306e\u8eca\u3092\u52d5\u304b\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u304b(\u5f85\u6a5f\u8eca\u3092\u6e1b\u3089\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u304b)\u3092\u793a\u3059\u5024\u3067\u3059\u3002<\/p>\n<p>\u5177\u4f53\u7684\u306b$C_{ij}$\u304c\u3069\u306e\u3088\u3046\u306b\u3042\u3089\u308f\u3055\u308c\u308b\u304b\u3092\u8aac\u660e\u3057\u307e\u3059\u3002 \u4ea4\u5dee\u70b9\u56db\u65b9\u306e\u5f85\u6a5f\u5834\u6240\u306b\u6dfb\u3048\u5b57$k$\u3092\u56f34\u306e\u3088\u3046\u306b\u5272\u308a\u632f\u308a\u307e\u3059(\u3053\u308c\u3092\u30dd\u30b8\u30b7\u30e7\u30f3\u3068\u547c\u3073\u307e\u3059)<\/p>\n<div id=\"attachment_8265\" style=\"width: 522px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-8265\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig_kexp-1-1024x1020.png\" alt=\"\u4ea4\u5dee\u70b9\u306e4\u65b9\u4f4d\u306b\u30dd\u30b8\u30b7\u30e7\u30f3\u304c\u4e0e\u3048\u3089\u308c\u3066\u3044\u308b. \u5317, \u5357, \u6771, \u897f\u306e\u5f85\u6a5f\u5834\u6240\u306bk=1, 2, 3, 4\u306e\u30dd\u30b8\u30b7\u30e7\u30f3\u3092\u793a\u3059\u6570\u5b57\u304c\u5272\u308a\u632f\u3089\u308c\u3066\u3044\u308b\" width=\"512\" height=\"510\" class=\"size-large wp-image-8265\" srcset=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig_kexp-1-1024x1020.png 1024w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig_kexp-1-300x300.png 300w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig_kexp-1-150x150.png 150w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig_kexp-1-768x765.png 768w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig_kexp-1-1536x1529.png 1536w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig_kexp-1-2048x2039.png 2048w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><p id=\"caption-attachment-8265\" class=\"wp-caption-text\">\u56f34 \u30dd\u30b8\u30b7\u30e7\u30f3\u56f3<br \/><small><a href=\"https:\/\/doi.org\/10.1007\/s11128-020-02815-1\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.1007\/s11128-020-02815-1<\/a>\u3092\u3082\u3068\u306b\u518d\u4f5c\u6210<\/small><\/p><\/div>\n<p>\u305d\u3057\u3066\u3001\u4ea4\u5dee\u70b9\u306e\u305d\u308c\u305e\u308c\u306e\u5834\u6240\u306b\u5f85\u6a5f\u3057\u3066\u3044\u308b\u8eca\u306e\u6570\u3092$a_i^k$\u3001\u305d\u306e\u4e2d\u3067\u76f4\u9032(\u53f3\u6298\u3067\u306f\u306a\u304f)\u3057\u305f\u3044\u8eca\u306e\u5272\u5408\u3092$f_i^k$\u3068\u8868\u73fe\u3057\u307e\u3059\u3002<\/p>\n<p>\u305f\u3068\u3048\u3070\u3001\u4ea4\u5dee\u70b9$i$\u306e\u5317\u5074($k=1$)\u306b\u5f85\u6a5f\u3057\u3066\u3044\u308b\u8eca\u306e\u6570\u304c16\u3001\u53f3\u6298\u304b\u76f4\u9032\u3092\u3059\u308b\u8eca\u306e\u3046\u306175%\u304c\u76f4\u9032\u3092\u5e0c\u671b\u3057\u3066\u3044\u308b\u3068\u3059\u308b\u306a\u3089\u3070\u3001$a_3^1=16, f_3^1=0.75$\u3068\u8868\u73fe\u3067\u304d\u307e\u3059\u3002 \u3053\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3057\u305f\u3068\u304d\u3001$C_{ij}$\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u73fe\u3067\u304d\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\tag{5}<br \/>\n\\begin{aligned}<br \/>\nC_{i1}=f_i^1 a_i^1 + f_i^2 a_i^2<br \/>\n\\end{aligned}<br \/>\n$$<br \/>\n$$<br \/>\n\\tag{6}<br \/>\n\\begin{aligned}<br \/>\nC_{i2}=a_i^2<br \/>\n\\end{aligned}<br \/>\n$$<br \/>\n$$<br \/>\n\\tag{7}<br \/>\n\\begin{aligned}<br \/>\nC_{i3}=a_i^1<br \/>\n\\end{aligned}<br \/>\n$$<br \/>\n$$<br \/>\n\\tag{8}<br \/>\n\\begin{aligned}<br \/>\nC_{i4}=f_i^3 a_i^3 + f_i^4 a_i^4<br \/>\n\\end{aligned}<br \/>\n$$<br \/>\n$$<br \/>\n\\tag{9}<br \/>\n\\begin{aligned}<br \/>\nC_{i5}=a_i^4<br \/>\n\\end{aligned}<br \/>\n$$<br \/>\n$$<br \/>\n\\tag{10}<br \/>\n\\begin{aligned}<br \/>\nC_{i6}=a_i^3<br \/>\n\\end{aligned}<br \/>\n$$<\/p>\n<p>\u4f8b\u3048\u3070\u4fe1\u53f7\u30e2\u30fc\u30c91\u3067\u306f\u3001\u5317\u304b\u3089\u5357\u3068\u5357\u304b\u3089\u5317\u306e\u76f4\u9032\u884c\u52d5\u304c\u8a31\u3055\u308c\u308b\u306e\u3067\u3001$C_{i1}$\u306f\u5317\u304b\u3089\u5357\u306b\u76f4\u9032\u3059\u308b$f_i^1 a_i^1$\u53f0\u3068\u5357\u304b\u3089\u5317\u306b\u76f4\u9032\u3059\u308b$f_i^2 a_i^2$\u53f0\u306e\u548c\u3060\u3068\u3044\u3048\u307e\u3059\u3002 \u307e\u305f\u4fe1\u53f7\u30e2\u30fc\u30c92\u3067\u306f\u3001\u5357\u304b\u3089\u53f3\u6298\u3068\u76f4\u9032\u306e\u4e21\u65b9\u306e\u884c\u52d5\u304c\u8a31\u3055\u308c\u308b\u306e\u3067\u3001\u5357\u306b\u5f85\u6a5f\u3059\u308b\u3059\u3079\u3066\u306e\u8eca\u3092\u52d5\u304b\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 $C_{i2}=a_i^2$\u3060\u3068\u8868\u73fe\u3067\u304d\u307e\u3059\u3002<\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E6%96%B9%E9%87%9D2%E3%81%AE%E9%A0%85\"><\/span>\u65b9\u91dd2\u306e\u9805<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u65b9\u91dd2\u306e\u300c\u4fe1\u53f7\u304c\u9023\u7d9a\u3059\u308b\u4ea4\u5dee\u70b9\u3067\u3001\u9023\u7d9a\u7684\u306b\u8eca\u304c\u901a\u308c\u308b\u3088\u3046\u306b\u6a5f\u80fd\u3059\u308b\u3002\u300d\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3057\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\tag{11}<br \/>\n\\begin{aligned}<br \/>\nQ_2 = -\\lambda_2 \\sum_{i=1}^n \\sum_{j=1}^6 C_{ij} x_{ij} \\left[\\tau_{i,a&#8217;} \\lambda_3 C_{a&#8217; a} x_{a&#8217; a} + \\tau_{i,b&#8217;} \\lambda&#8217;_3 C_{b&#8217;b}x_{b&#8217;, b}+ \\tau_{i, c&#8217;} \\lambda_3 C_{c&#8217; c}x_{c&#8217;,c} + \\tau_{i, d&#8217;} \\lambda&#8217;_3 C_{d&#8217;d} x_{d&#8217;,d}\\right]<br \/>\n\\end{aligned}<br \/>\n$$<br \/>\n\u3053\u3053\u3067, $\\{a&#8217;, b&#8217;, c&#8217;, d&#8217;\\}$\u306f\u7740\u76ee\u3057\u3066\u3044\u308b\u4ea4\u5dee\u70b9\u306b\u96a3\u63a5\u3057\u3066\u3044\u308b\u4ea4\u5dee\u70b9\u306e\u756a\u53f7\u3092\u3001$\\{a,b,c,d\\}$\u306f\u305d\u306e\u96a3\u63a5\u4ea4\u5dee\u70b9\u306e\u30e2\u30fc\u30c9\u3092\u8868\u3057\u307e\u3059\u3002 \u307e\u305f\u3001$C_{ij}$\u306f$Q_1$\u3068\u540c\u69d8\u306b\u4ea4\u5dee\u70b9$i$\u304c\u30e2\u30fc\u30c9$j$\u306e\u6642\u306b\u79fb\u52d5\u3067\u304d\u308b\u8eca\u306e\u53f0\u6570\u3092\u8868\u3057\u307e\u3059. \u96a3\u63a5\u4ea4\u5dee\u70b9\u306e\u756a\u53f7 $\\{a&#8217;, b&#8217;, c&#8217;, d&#8217;\\}$ \u3084\u3001$\\{a,b,c,d\\}$ \u304c\u3068\u308b\u5024\u306f\u6ce8\u76ee\u3059\u308b\u4ea4\u5dee\u70b9$i$\u306e\u30e2\u30fc\u30c9$j$\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059\u3002 \u56f35\u306f\u305d\u306e\u5bfe\u5fdc\u8868\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<div id=\"attachment_8268\" style=\"width: 937px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-8268\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig6-1.png\" alt=\"\" width=\"927\" height=\"512\" class=\"size-full wp-image-8268\" srcset=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig6-1.png 927w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig6-1-300x166.png 300w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig6-1-768x424.png 768w\" sizes=\"auto, (max-width: 927px) 100vw, 927px\" \/><p id=\"caption-attachment-8268\" class=\"wp-caption-text\">\u56f35 $\\{a, b, c, d\\}$\u3068$\\{a&#8217;, b&#8217;, c&#8217;, d&#8217;\\}$\u306e\u5bfe\u5fdc\u8868<br \/><small><a href=\"https:\/\/doi.org\/10.1007\/s11128-020-02815-1\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.1007\/s11128-020-02815-1<\/a><\/small><\/p><\/div>\n<p>\u56f35\u3092\u3082\u3068\u306b\u5177\u4f53\u7684\u306b\u3069\u306e\u3088\u3046\u306a\u5024\u3092\u3068\u308b\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002 \u56f36\u306e\u3088\u3046\u306a\u30b0\u30ea\u30c3\u30c9\u72b6\u30de\u30c3\u30d7\u306b\u304a\u3044\u3066\u3001\u7740\u76ee\u3057\u3066\u3044\u308b\u4ea4\u5dee\u70b9$i=5$\u3001\u30e2\u30fc\u30c9$j=1$\u306e\u5834\u5408\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n<div id=\"attachment_8270\" style=\"width: 310px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-8270\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig_9inter-1-300x300.png\" alt=\"\" width=\"300\" height=\"300\" class=\"size-medium wp-image-8270\" srcset=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig_9inter-1-300x300.png 300w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig_9inter-1-1024x1024.png 1024w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig_9inter-1-150x150.png 150w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig_9inter-1-768x768.png 768w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig_9inter-1-1536x1536.png 1536w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig_9inter-1-2048x2048.png 2048w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><p id=\"caption-attachment-8270\" class=\"wp-caption-text\">\u56f36 \u4ea4\u5dee\u70b9<\/p><\/div>\n<p>\u307e\u305a\u96a3\u63a5\u4ea4\u5dee\u70b9$\\{a&#8217;, b&#8217;, c&#8217;, d&#8217;\\}$\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002 \u30e2\u30fc\u30c9$j=1$\u306e\u5834\u5408\u306f\u5357\u304b\u3089\u5317\u3001\u5317\u304b\u3089\u5357\u306b\u9032\u884c\u304c\u53ef\u80fd\u306a\u306e\u3067\u3001\u96a3\u63a5\u4ea4\u5dee\u70b9$\\{a&#8217;, b&#8217;, c&#8217;, d&#8217;\\}$\u306f\u3001\u5317\u304b\u5357\u3092\u8003\u3048\u308c\u3070\u3088\u3044\u306f\u305a\u3067\u3059\u3002 \u5b9f\u969b\u56f34\u3067\u306f\u3001\u30e2\u30fc\u30c9$j=1$\u306e\u3068\u304d\u306f\u3001\u305d\u308c\u305e\u308c\u5317\u3001\u5317\u3001\u5357\u3001\u5357\u306b\u96a3\u63a5\u3059\u308b\u4ea4\u5dee\u70b9\u3092\u6307\u3057\u3066\u3044\u307e\u3059\u306e\u3067\u3001\u56f35 \u3067$i=5$\u306a\u3089\u3070\u3001(a&#8217;,b&#8217;,c&#8217;,d&#8217;)=(2,2,8,8)$\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306b$\\{a,b,c,d\\}$\u306e\u5177\u4f53\u5024\u306b\u3064\u3044\u3066\u3067\u3059\u3002 \u56f35 \u306b\u5f93\u3048\u3070$j=1$\u306e\u3068\u304d\u3001$\\{a, b, c, d\\}$\u306f\u305d\u308c\u305e\u308c\u3001$\\{1,2,1,3\\}$\u304c\u4ee3\u5165\u3055\u308c\u307e\u3059. \u5b9f\u969b\u306b\u3001\u4ea4\u5dee\u70b9$\\{2,2,8,8\\}$\u306e\u30e2\u30fc\u30c9\u304c$\\{1,2,1,3\\}$\u306e\u6642\u306e\u901a\u884c\u53ef\u80fd\u65b9\u5411\u3092\u793a\u3059\u77e2\u5370\u3092\u56f3\u793a\u3057\u3066\u307f\u308b\u3068\u3001\u305d\u308c\u305e\u308c\u56f37a\u3001\u56f37b\u3001\u56f37c\u3001\u56f37d \u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 \u3055\u3089\u306b\u56f35\u3067\u306f$a&#8217;, c&#8217;$\u3088\u308a, $b&#8217;, d&#8217;$\u306e\u65b9\u304c\u8eca\u304c\u6d41\u308c\u3084\u3059\u304f\u306a\u308b\u3088\u3046\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002 \u5b9f\u969b\u306b\u56f37a-7d\u306e4\u30d1\u30bf\u30fc\u30f3\u3092\u3088\u304f\u898b\u308b\u3068\u3001\u56f37b\u30017d\u306e\u5834\u5408\u306e\u65b9\u304c\u56f37a\u30017c\u306e\u5834\u5408\u3088\u308a\u3082\u591a\u304f\u306e\u8eca\u304c\u6d41\u305b\u305d\u3046\u306a\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002 \u3057\u305f\u304c\u3063\u3066\u3001$b&#8217;. d&#8217;$\u306e\u307b\u3046\u304c, $a&#8217;, c&#8217;$\u3088\u308a\u3082\u9078\u3070\u308c\u3084\u3059\u304f\u306a\u308b\u3088\u3046\u306b\u3001$a&#8217;, c&#8217;$\u306e\u4fc2\u6570$\\lambda_3$\u3088\u308a\u3082\u3001$b&#8217;, d&#8217;$\u306e\u4fc2\u6570$\\lambda&#8217;_3$\u306e\u307b\u3046\u304c\u3001\u5024\u304c\u5927\u304d\u304f\u306a\u308b\u3088\u3046\u306b\u8a2d\u5b9a\u3057\u307e\u3059\u3002<\/p>\n<style>\n.image-grid {    display: grid;    grid-template-columns: repeat(auto-fit, minmax(300px, 1fr));    gap: 20px;    justify-content: center;    max-width: 640px;    margin: 0 auto;  }  .image-grid figure {    text-align: center;    margin: 0;  }  .image-grid figcaption {    margin-top: 8px;    font-size: 14px;    color: #333;  }<br \/><\/style>\n<div class=\"image-grid\">\n<figure><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/figcona-1-300x300.png\" alt=\"\u56f37a\" width=\"300\" height=\"300\" \/><figcaption>\u56f37a<\/figcaption><\/figure>\n<figure><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/figconb-1-300x300.png\" alt=\"\u56f37b\" width=\"300\" height=\"300\" \/><figcaption>\u56f37b<\/figcaption><\/figure>\n<figure><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/figconc-1-300x300.png\" alt=\"\u56f37c\" width=\"300\" height=\"300\" \/><figcaption>\u56f37c<\/figcaption><\/figure>\n<figure><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/figcond-1-300x300.png\" alt=\"\u56f37d\" width=\"300\" height=\"300\" \/><figcaption>\u56f37d<\/figcaption><\/figure>\n<\/div>\n<p>\u4ea4\u5dee\u70b9\u9593\u3092\u8eca\u304c\u79fb\u52d5\u3059\u308b\u6642\u9593\u3082\u8003\u3048\u306a\u304f\u3066\u306f\u3044\u3051\u307e\u305b\u3093\u3002 \u305d\u306e\u305f\u3081, \u4ea4\u5dee\u70b9\u304b\u3089\u4ea4\u5dee\u70b9\u3078\u306e\u79fb\u52d5\u6642\u9593\u3092\u8003\u616e\u3057\u3066\u3001$\\tau_{i i&#8217;}$\u3068\u3044\u30460\u304b1\u306e\u5024\u3092\u6301\u3064\u5909\u6570\u3092\u4f7f\u3044\u307e\u3059\u3002<br \/>\n\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u958b\u59cb\u304b\u3089\u306e\u7d4c\u904e\u6642\u9593\u3092$t$\u3068\u3057\u3001\u4ea4\u5dee\u70b9$i&#8217;$\u304b\u3089$i$\u306b\u79fb\u52d5\u3059\u308b\u306e\u306b\u304b\u304b\u308b\u6642\u9593\u3092$T$\u3068\u3057\u3001$ t \\bmod T \\approx 0 $\u306e\u3068\u304d\u306b$\\tau_{i i&#8217;}=1$\u3068\u3057\u3066\u4ea4\u5dee\u70b9\u9593\u306e\u4fe1\u53f7\u540c\u671f\u3092\u306f\u304b\u308a\u3001\u305d\u308c\u4ee5\u5916\u306e\u6642\u306f$\\tau_{i i&#8217;}=0$\u3068\u3057\u307e\u3059\u3002<\/p>\n<p>\u3082\u3063\u3068\u5177\u4f53\u7684\u306b\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<br \/>\n\u4f8b\u3048\u3070\u4ea4\u5dee\u70b91\u304b\u3089\u4ea4\u5dee\u70b92\u3078\u306e\u9053\u8def\u9577300m\u3001\u901f\u5ea6\u5236\u9650\u306f10m\/s\u3068\u3057\u307e\u3057\u3087\u3046\u3002 \u3059\u308b\u3068\u3001\u4ea4\u5dee\u70b91\u3092\u51fa\u767a\u3057\u305f\u8eca\u306f30s\u5f8c\u306b\u4ea4\u5dee\u70b92\u306b\u9054\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>$t=0$\u3067\u306f\u8eca\u4e21\u306f\u307e\u3060\u4ea4\u5dee\u70b92\u306b\u9054\u3055\u306a\u3044\u306e\u3067$\\tau_{12}=0.$(\u4ea4\u5dee\u70b9\u9593\u4fe1\u53f7\u540c\u671f\u306a\u3057)<\/li>\n<li>$t=5$\u3067\u306f\u8eca\u4e21\u306f\u307e\u3060\u4ea4\u5dee\u70b92\u306b\u9054\u3055\u306a\u3044\u306e\u3067$\\tau_{12}=0.$(\u4ea4\u5dee\u70b9\u9593\u4fe1\u53f7\u540c\u671f\u306a\u3057)<\/li>\n<li>$t=30$\u3067\u8eca\u4e21\u306f\u4ea4\u5dee\u70b92\u306b\u9054\u3059\u308b\u306e\u3067$\\tau_{12}=1.$(\u4ea4\u5dee\u70b9\u9593\u4fe1\u53f7\u540c\u671f\u3092\u3059\u308b)<\/li>\n<li>$t=35$\u3067\u306f\u5468\u671f\u3092\u904e\u304e\u305f\u306e\u3067$\\tau_{12}=0.$(\u4ea4\u5dee\u70b9\u9593\u4fe1\u53f7\u540c\u671f\u306a\u3057)<\/li>\n<\/ul>\n<h4><span class=\"ez-toc-section\" id=\"%E5%88%B6%E7%B4%84%E9%A0%85\"><\/span>\u5236\u7d04\u9805<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u6700\u5f8c\u306b\u5909\u6570\u306e\u5236\u7d04\u3092\u6e80\u305f\u3055\u305b\u308b\u305f\u3081\u306b\u7528\u610f\u3059\u308b\u5236\u7d04\u9805\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n<p>\u4ea4\u5dee\u70b9$i$\u3067\u306f\u540c\u6642\u306b1\u3064\u306e\u30e2\u30fc\u30c9\u3057\u304b\u53d6\u308c\u307e\u305b\u3093\u3002 \u3057\u305f\u304c\u3063\u3066$ x_{31}=0, x_{32}=1, x_{33}=0, x_{34}=1, x_{35}=0, x_{36}=0 $\u3068\u3044\u3046\u3088\u3046\u306a\u7d50\u679c\u3092\u9664\u5916\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 \u305d\u306e\u305f\u3081\u6b21\u306e\u3088\u3046\u306a\u9805\u3092\u5c0e\u5165\u3057\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\tag{12}<br \/>\n\\begin{aligned}<br \/>\nQ_3 = \\lambda_4 \\sum_i \\left[1-\\sum_{j=1}^6 x_{i j}\\right]^2<br \/>\n\\end{aligned}<br \/>\n$$<br \/>\n$\\lambda_4$\u3092\u304b\u306a\u308a\u5927\u304d\u306a\u5024\u306b\u8a2d\u5b9a\u3059\u308b\u3053\u3068\u3067\u3001$Q_3=0$\u304c\u6e80\u305f\u3055\u308c\u308b\u3088\u3046\u306b\u3057\u3001\u5236\u7d04\u3092\u6e80\u305f\u3059\u3088\u3046\u306b\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93\"><\/span>\u5b9f\u9a13<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4ee5\u4e0a\u306e\u5b9a\u5f0f\u5316\u3092\u7528\u3044\u3066\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30bf\u30fc\u3092\u7528\u3044\u305f\u6570\u5024\u5b9f\u9a13\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E6%96%B9%E6%B3%95\"><\/span>\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>6&#215;6\u306e\u5408\u8a0836\u4ea4\u5dee\u70b9\u306e\u3042\u308b\u30b0\u30ea\u30c3\u30c9\u72b6\u30de\u30c3\u30d7\u306b\u30e9\u30f3\u30c0\u30e0\u306b\u8eca\u3092\u914d\u7f6e\u3057\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u5185\u3067\u6642\u9593\u7d4c\u904e\u3092\u3055\u305b\u3066\u8eca\u3092\u79fb\u52d5\u3055\u305b\u305f\u308a\u3001\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306e\u8a08\u7b97\u7d50\u679c\u306b\u6cbf\u3063\u3066\u4fe1\u53f7\u3092\u5909\u5316\u3055\u305b\u305f\u308a\u3057\u3066\u3001\u4ea4\u901a\u4fe1\u53f7\u6700\u9069\u5316\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306e\u3088\u3046\u306a\u30d5\u30ed\u30fc\u3067\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n<ol>\n<li>\u8eca\u5bc6\u5ea6\u30c7\u30fc\u30bf\u3068\u3069\u306e\u4fe1\u53f7\u3092\u540c\u671f\u3055\u305b\u308b\u304b\u306b\u95a2\u3059\u308b\u60c5\u5831\u51e6\u7406<\/li>\n<li>\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f35\u53cd\u5fa9\u3054\u3068\u306bQUBO\u5b9a\u5f0f\u5316<\/li>\n<li>2. \u3067\u5b9a\u5f0f\u5316\u3057\u305f\u3082\u306e\u3092\u3082\u3068\u306b\u4ea4\u901a\u306e\u6d41\u308c\u304c\u30b9\u30e0\u30fc\u30ba\u306b\u306a\u308b\u4fe1\u53f7\u306e\u7d44\u307f\u5408\u308f\u305b\u3092\u6c42\u3081\u308b<\/li>\n<li>\u8a08\u7b97\u7d50\u679c\u3092\u3082\u3068\u306b\u4fe1\u53f7\u3092\u66f4\u65b0<\/li>\n<li>\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u30921\u9032\u3081\u308b (\u8eca\u306e\u4f4d\u7f6e\u3092\u66f4\u65b0\u3059\u308b)<\/li>\n<\/ol>\n<p>\u5b9f\u9a13\u6761\u4ef6\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\u3002<\/p>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li>\u4ea4\u5dee\u70b9\u306f6&#215;6\u306e36\u500b<\/li>\n<li>\u9053\u8def\u5236\u9650\u901f\u5ea6[m\/s] = 11, 17, 22, 28(\u30e9\u30f3\u30c0\u30e0)<\/li>\n<li>\u4ea4\u5dee\u70b9\u304b\u3089\u4ea4\u5dee\u70b9\u307e\u30671km<\/li>\n<li>\u3059\u3079\u3066\u306e\u4ea4\u5dee\u70b9\u3067$f_i^k=0.7$(70%\u304c\u76f4\u9032, 30%\u304c\u53f3\u6298); \u305f\u3060\u3057\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u4e0a\u306b\u306f\u5de6\u6298\u8eca\u306f\u300c\u5b58\u5728\u3057\u306a\u3044\u300d<\/li>\n<li>\u30de\u30c3\u30d7\u306e\u7aef\u304b\u3089\u5916\u306b\u51fa\u305f\u8eca\u306f\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u304b\u3089\u9664\u5916\u3059\u308b\u3002 \u3064\u307e\u308a\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u4e0a\u3067\u8eca\u306f\u6e1b\u5c11\u3057\u3066\u3044\u304f<\/li>\n<li>\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306f150\u53cd\u5fa9\u3002 5\u53cd\u5fa9\u3054\u3068\u306bQUBO\u5b9a\u5f0f\u5316\u3068\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u306e\u6700\u9069\u5316\u3002 \u3064\u307e\u308a\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u4e2d30\u56de\u4fe1\u53f7\u66f4\u65b0\u306e\u30bf\u30a4\u30df\u30f3\u30b0\u304c\u3042\u308b\u3002<\/li>\n<li>$\\lambda_1=1, \\lambda_2=60, \\lambda_3=0.3, \\lambda&#8217;_3=0.7, \\lambda_4=60$<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"%E7%B5%90%E6%9E%9C\"><\/span>\u7d50\u679c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u4ea4\u901a\u4fe1\u53f7\u6700\u9069\u5316\u306e\u8a55\u4fa1\u6307\u6a19\u3068\u3057\u3066\u3001&#8221;Time Wasted&#8221;(\u6642\u9593\u640d\u5931)\u3068\u3044\u3046\u6307\u6a19\u3092\u7528\u3044\u307e\u3059\u3002 \u3053\u306e &#8220;Time Wasted&#8221; \u304c\u3088\u308a\u5c0f\u3055\u3044\u307b\u3069\u3001\u4ea4\u901a\u4fe1\u53f7\u6700\u9069\u5316\u304c\u3088\u308a\u826f\u304f\u6a5f\u80fd\u3057\u3066\u3044\u308b\u3068\u3044\u3048\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\tag{12}<br \/>\n\\begin{aligned}<br \/>\n\\text{Time Wasted} = \\frac{\\text{Speed limit of next road segment}}{\\text{maximum speed limit}} \\times N<br \/>\n\\end{aligned}<br \/>\n$$<br \/>\n\u305f\u3060\u3057\u3001<\/p>\n<ul>\n<li>Speed limit of next road segment [m\/sec]: \u4ea4\u5dee\u70b9\u306e\u5148\u306e\u9053\u8def\u306e\u5236\u9650\u901f\u5ea6<\/li>\n<li>Maximum speed limit [m\/sec]: \u30de\u30c3\u30d7\u306b\u5b58\u5728\u3059\u308b\u5236\u9650\u901f\u5ea6\u3067\u6700\u5927\u306e\u3082\u306e<\/li>\n<li>$N$ [sec]: \u5358\u4f4d\u6642\u9593\u3042\u305f\u308a\u306b\u305d\u308c\u305e\u308c\u306e\u4ea4\u5dee\u70b9\u306b\u5f85\u6a5f\u3057\u3066\u3044\u308b\u6b21\u306b\u9032\u307f\u305f\u3044\u8eca\u306e\u6570<\/li>\n<\/ul>\n<p>\u56f38\u306f\u3001\u3053\u308c\u3089\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u69d8\u3005\u306a\u624b\u6cd5\u3067\u884c\u3063\u305f\u6642\u306e Time Wasted \u306e\u6bd4\u8f03\u3067\u3059\u3002<\/p>\n<div id=\"attachment_8282\" style=\"width: 572px\" class=\"wp-caption alignleft\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-8282\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig9.png\" alt=\"\" width=\"562\" height=\"519\" class=\"size-full wp-image-8282\" srcset=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig9.png 562w, https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2025\/10\/fig9-300x277.png 300w\" sizes=\"auto, (max-width: 562px) 100vw, 562px\" \/><p id=\"caption-attachment-8282\" class=\"wp-caption-text\">\u56f38 \u5404\u4fe1\u53f7\u6700\u9069\u5316\u65b9\u6cd5\u3067\u306eTime Wasted\u306e\u6bd4\u8f03<br \/><small><a href=\"https:\/\/doi.org\/10.1007\/s11128-020-02815-1\" target=\"_blank\" rel=\"noopener\">https:\/\/doi.org\/10.1007\/s11128-020-02815-1<\/a><\/small><\/p><\/div>\n<p>\u3053\u3053\u3067\u3001Fixed Cycle \u3068\u3044\u3046\u306e\u306f\u4ea4\u901a\u30c7\u30fc\u30bf\u306b\u4f9d\u5b58\u305b\u305a\u7d14\u7c8b\u306b\u6642\u9593\u7d4c\u904e\u306e\u307f\u3067\u4fe1\u53f7\u3092\u5909\u66f4\u3059\u308b\u30b5\u30a4\u30af\u30eb\u3067\u3042\u308a\u3001\u305d\u306e\u65b9\u6cd5\u3088\u308a\u5f0f$Q_1 + Q_3$\u3092\u7528\u3044\u3066\u6d41\u52d5\u7684\u306a\u4ea4\u901a\u91cf\u3092\u8003\u616e\u3057\u3066\u8a08\u7b97\u3057\u305f\u30d1\u30bf\u30fc\u30f3\u306e\u307b\u3046\u304c Time Wasted \u304c\u5c0f\u3055\u304f\u306a\u3063\u3066\u3044\u307e\u3059\u3002<br \/>\n\u3055\u3089\u306b\u3001$Q_1 + Q_3$\u3092\u7528\u3044\u305f\u30d1\u30bf\u30fc\u30f3\u3088\u308a\u3082\u3001\u96a3\u63a5\u4ea4\u5dee\u70b9\u3068\u306e\u95a2\u9023\u3082\u542b\u3081\u3066\u6700\u9069\u5316\u3092\u884c\u3063\u3066\u3044\u308b$Q_1 + Q_2 + Q_3$\u306e\u30d1\u30bf\u30fc\u30f3\u306e\u307b\u3046\u304c\u591a\u5c11\u3067\u306f\u3042\u308a\u307e\u3059\u304c\u3055\u3089\u306b Time Wasted \u304c\u5c0f\u3055\u304f\u306a\u3063\u3066\u304a\u308a\u3001\u3088\u308a\u52b9\u679c\u7684\u306b\u4ea4\u901a\u4fe1\u53f7\u6700\u9069\u5316\u3067\u304d\u3066\u3044\u308b\u3068\u3044\u3048\u307e\u3059\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E3%81%BE%E3%81%A8%E3%82%81\"><\/span>\u307e\u3068\u3081<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4eca\u56de\u7d39\u4ecb\u3057\u305f\u8ad6\u6587\u3067\u306f\u52b9\u7387\u306e\u826f\u3044\u4fe1\u53f7\u5236\u5fa1\u306e\u305f\u3081\u3001\u300c\u3088\u308a\u591a\u304f\u306e\u8eca\u3092\u6b21\u306e\u4ea4\u5dee\u70b9\u3078\u79fb\u52d5\u3055\u305b\u308b\u300d\u3068\u3001 \u300c\u3088\u308a\u96a3\u63a5\u4ea4\u5dee\u70b9\u304b\u3089\u30b9\u30e0\u30fc\u30ba\u306b\u901a\u904e\u3067\u304d\u308b\u3088\u3046\u306b\u3059\u308b\u300d\u3068\u3044\u30462\u3064\u306e\u89b3\u70b9\u3067\u5b9a\u5f0f\u5316\u3092\u884c\u3044\u307e\u3057\u305f\u3002 \u305d\u306e\u3046\u3048\u3067\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u7528\u3044\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u3088\u308a\u8eca\u79fb\u52d5\u3067\u306e\u6642\u9593\u306e\u7121\u99c4\u304c\u5c0f\u3055\u304f\u306a\u308b\u3088\u3046\u306a\u3001\u52b9\u7387\u306e\u826f\u3044\u4fe1\u53f7\u306e\u7d44\u307f\u5408\u308f\u305b\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\"><\/span>\u3042\u3068\u304c\u304d<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4ea4\u901a\u4fe1\u53f7\u6700\u9069\u5316\u306a\u3069\u306e\u8eab\u8fd1\u306a\u8ab2\u984c\u3092\u7c21\u5358\u306a\u5f62\u306b\u5b9a\u5f0f\u5316\u3057\u3001\u6700\u9069\u5316\u3067\u304d\u308b\u3068\u3044\u3046\u3053\u3068\u306b\u5927\u5909\u9b45\u529b\u3092\u611f\u3058\u307e\u3059\u3002 \u4eca\u56de\u306e\u8ad6\u6587\u3067\u306f\u683c\u5b50\u72b6\u306e\u9053\u8def\u3067\u8003\u3048\u307e\u3057\u305f\u304c\u3001\u8907\u96d1\u306a\u9053\u8def\u3067\u3082\u5b9f\u8df5\u3067\u304d\u305f\u3089\u306a\u3068\u611f\u3058\u307e\u3059\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%8F%82%E8%80%83%E6%96%87%E7%8C%AE\"><\/span>\u53c2\u8003\u6587\u732e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>[1] Kadowaki, T. &amp; Nishimori, H. (1998) &#8220;Quantum annealing in the transverse Ising model.&#8221; https:\/\/doi.org\/10.1103\/PhysRevE.58.5355<br \/>\n[2] \u56fd\u571f\u4ea4\u901a\u7701 \u52b9\u679c\u7684\u306a\u6e0b\u6ede\u5bfe\u7b56\u306e\u63a8\u9032 (2006) https:\/\/www.mlit.go.jp\/road\/ir\/ir-perform\/h18\/07.pdf<br \/>\n[3] LADOT &#8220;ATSAC&#8221; https:\/\/ladot.lacity.gov\/projects\/transportation-technology\/atsac<br \/>\n[4] LADOT &#8220;ATSAC Fact Sheet 2018 Rev 1124&#8221; https:\/\/ladot.lacity.gov\/sites\/default\/files\/documents\/atsac-fact-sheet-2018-rev-1124.pdf<\/p>\n<h2><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 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