{"id":5032,"date":"2024-06-04T17:12:12","date_gmt":"2024-06-04T08:12:12","guid":{"rendered":"https:\/\/blog.since2020.jp\/?p=5032"},"modified":"2024-06-11T14:07:24","modified_gmt":"2024-06-11T05:07:24","slug":"multiagentsystem_1","status":"publish","type":"post","link":"https:\/\/since2020.jp\/media\/multiagentsystem_1\/","title":{"rendered":"\u3010\u30de\u30eb\u30c1\u30a8\u30fc\u30b8\u30a7\u30f3\u30c8\u30b7\u30b9\u30c6\u30e0\u3011part1 \u30de\u30eb\u30b3\u30d5\u6c7a\u5b9a\u904e\u7a0b\u3068\u306f"},"content":{"rendered":"\n<p>\u4eca\u56de\u306e\u30d6\u30ed\u30b0\u3067\u306f\u30de\u30eb\u30c1\u30a8\u30fc\u30b8\u30a7\u30f3\u30c8\u30b7\u30b9\u30c6\u30e0\u306e\u57fa\u790e\u3067\u3042\u308b\u30de\u30eb\u30b3\u30d5\u6c7a\u5b9a\u904e\u7a0b\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u3053\u3046\u3068\u601d\u3044\u307e\u3059\u3002\u6a5f\u68b0\u5b66\u7fd2\u306f\u4e3b\u306b\u6559\u5e2b\u3042\u308a\u5b66\u7fd2\u3001\u6559\u5e2b\u306a\u3057\u5b66\u7fd2\u3001\u5f37\u5316\u5b66\u7fd2\u306e\u4e09\u7a2e\u985e\u306b\u5206\u985e\u3055\u308c\u307e\u3059\u304c\u3001\u30de\u30eb\u30b3\u30d5\u6c7a\u5b9a\u904e\u7a0b\u306f\u4e09\u3064\u76ee\u306e\u5f37\u5316\u5b66\u7fd2\u306b\u304a\u3051\u308b\u57fa\u672c\u7684\u306a\u8003\u3048\u65b9\u3067\u3059\u3002\u6982\u8981\u3001\u5b9a\u7fa9\u3001\u5177\u4f53\u4f8b\u3001\u4ee3\u8868\u7684\u306a\u5b66\u7fd2\u65b9\u6cd5\u306a\u3069\u306b\u3064\u3044\u3066\u8ff0\u3079\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n<h2>\u306f\u3058\u3081\u306b<\/h2>\n<p>\u4eca\u56de\u306e\u30d6\u30ed\u30b0\u3067\u306f\u30de\u30eb\u30c1\u30a8\u30fc\u30b8\u30a7\u30f3\u30c8\u30b7\u30b9\u30c6\u30e0\u306e\u57fa\u790e\u3067\u3042\u308b\u30de\u30eb\u30b3\u30d5\u6c7a\u5b9a\u904e\u7a0b\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u3053\u3046\u3068\u601d\u3044\u307e\u3059\u3002\u6a5f\u68b0\u5b66\u7fd2\u306f\u4e3b\u306b\u6559\u5e2b\u3042\u308a\u5b66\u7fd2\u3001\u6559\u5e2b\u306a\u3057\u5b66\u7fd2\u3001\u5f37\u5316\u5b66\u7fd2\u306e\u4e09\u7a2e\u985e\u306b\u5206\u985e\u3055\u308c\u307e\u3059\u304c\u3001\u30de\u30eb\u30b3\u30d5\u6c7a\u5b9a\u904e\u7a0b\u306f\u4e09\u3064\u76ee\u306e\u5f37\u5316\u5b66\u7fd2\u306b\u304a\u3051\u308b\u57fa\u672c\u7684\u306a\u8003\u3048\u65b9\u3067\u3059\u3002\u6982\u8981\u3001\u5b9a\u7fa9\u3001\u5177\u4f53\u4f8b\u3001\u4ee3\u8868\u7684\u306a\u5b66\u7fd2\u65b9\u6cd5\u306a\u3069\u306b\u3064\u3044\u3066\u8ff0\u3079\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n<h2>\u6982\u8981<\/h2>\n<p>\u30de\u30eb\u30b3\u30d5\u6c7a\u5b9a\u904e\u7a0b\u306f\u72b6\u614b\u9077\u79fb\u304c\u78ba\u7387\u7684\u306b\u5909\u52d5\u3057\u3066\u3044\u304f\u78ba\u7387\u904e\u7a0b\u306e\u4e00\u7a2e\u3067\u3059\u3002<\/p>\r\n<p>\u3053\u3053\u3067\u3001\u3042\u308b\u30a8\u30fc\u30b8\u30a7\u30f3\u30c8\u304c\u884c\u52d5\u3092\u3068\u308a\u3001\u305d\u306e\u7d50\u679c\u5831\u916c\u3092\u53d7\u3051\u53d6\u308b\u72b6\u6cc1\u3092\u8003\u3048\u3066\u3044\u304d\u307e\u3059\u3002\u30a8\u30fc\u30b8\u30a7\u30f3\u30c8\u306f\u3042\u308b\u72b6\u614b\u304b\u3089\u30b9\u30bf\u30fc\u30c8\u3057\u3001\u9078\u3076\u3053\u3068\u306e\u3067\u304d\u308b\u884c\u52d5\u306e\u4e2d\u304b\u3089\u4e00\u3064\u9078\u3073\u884c\u52d5\u3057\u307e\u3059\u3002\u305d\u306e\u7d50\u679c\u5831\u916c\u3092\u53d7\u3051\u53d6\u308a\u3001\u72b6\u614b\u3068\u884c\u52d5\u306b\u4f9d\u5b58\u3057\u3066\u78ba\u7387\u7684\u306b\u6b21\u306e\u72b6\u614b\u3078\u3068\u79fb\u308a\u307e\u3059\u3002\u3053\u306e\u72b6\u614b\u2192\u884c\u52d5\u2192\u72b6\u614b\u30fb\u30fb\u30fb\u3092\u7e70\u308a\u8fd4\u3057\u3066\u3044\u304f\u3053\u3068\u304c\u30de\u30eb\u30b3\u30d5\u6c7a\u5b9a\u904e\u7a0b\u3067\u3059\u3002<\/p>\n\n<h2>\u30de\u30eb\u30b3\u30d5\u6c7a\u5b9a\u904e\u7a0b\u306e\u5b9a\u7fa9<\/h2>\n<p>\u30de\u30eb\u30b3\u30d5\u6c7a\u5b9a\u904e\u7a0b\uff08MDP\uff09\u306f\u4ee5\u4e0b\u306e4\u3064\u306e\u8981\u7d20\\((S, A, P, R)\\) \u3067\u8868\u3055\u308c\u307e\u3059\u3002<span class=\"katex\"><span class=\"katex-mathml\">\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mo><\/mo><\/mrow><annotation encoding=\"application\/x-tex\">S \\times A \\times S \\rightarrow \\mathbb{R}<\/annotation><\/semantics><\/math>\r\n<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\"><\/span><span class=\"mspace\"><\/span><span class=\"mspace\"><\/span><\/span><span class=\"base\"><span class=\"strut\"><\/span><span class=\"mspace\"><\/span><span class=\"mspace\"><\/span><\/span><span class=\"base\"><span class=\"strut\"><\/span><span class=\"mspace\"><\/span><\/span><\/span><\/span><\/p>\r\n<p><strong>S :<\/strong> \u72b6\u614b\u306e\u6709\u9650\u96c6\u5408\uff08\u30a8\u30fc\u30b8\u30a7\u30f3\u30c8\u304c\u53d6\u308a\u3046\u308b\u72b6\u614b\u306e\u96c6\u5408\uff09<\/p>\r\n<p><strong>A :<\/strong> \u884c\u52d5\u306e\u6709\u9650\u96c6\u5408\uff08\u30a8\u30fc\u30b8\u30a7\u30f3\u30c8\u304c\u9078\u629e\u3067\u304d\u308b\u884c\u52d5\u306e\u96c6\u5408\uff09<\/p>\r\n<p><strong>P : \\(S \\times A \\times S \\rightarrow [0,1] \\)<\/strong> \u9077\u79fb\u95a2\u6570\uff08\u3042\u308b\u72b6\u614b \\(s\\) \u306e\u5143\u3067\u884c\u52d5 (a\\) \u3092\u53d6\u3063\u305f\u3068\u304d\u306b\u72b6\u614b \\(s&#8217;\\) \u306b\u9077\u79fb\u3059\u308b\u78ba\u7387\uff09<\/p>\r\n<p><strong>R :\\( S \\times A \\times S \\rightarrow \\mathbb{R}\\)<\/strong> \u5831\u916c\u95a2\u6570\uff08\u3042\u308b\u72b6\u614b \\(s\\) \u304b\u3089\u884c\u52d5 \\(a\\) \u3092\u53d6\u308a\u72b6\u614b \\(s&#8217;\\) \u306b\u9077\u79fb\u3057\u305f\u6642\u3001\u5f97\u3089\u308c\u308b\u5831\u916c\uff09<\/p>\r\n<p>\u3053\u306e4\u3064\u306e\u8981\u7d20\u306b\u3088\u308a\u30de\u30eb\u30b3\u30d5\u6c7a\u5b9a\u904e\u7a0b\u304c\u898f\u5b9a\u3055\u308c\u3001\u305d\u306e\u7a7a\u9593\u5185\u3092\u30a8\u30fc\u30b8\u30a7\u30f3\u30c8\u304c\u52d5\u3044\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\r\n<p>&nbsp;<\/p>\r\n<p>&nbsp;<\/p>\n\n<h2>\u5177\u4f53\u4f8b<\/h2>\n<p>&nbsp;<\/p>\r\n<p><strong>\u554f\u984c\u8a2d\u5b9a<\/strong><\/p>\r\n<p>\u3042\u308b\u5c0f\u58f2\u5e97\u306e\u5728\u5eab\u7ba1\u7406\u3092\u8003\u3048\u3066\u3044\u304d\u307e\u3059\u3002\u6bce\u65e5\u3001\u4e00\u5b9a\u306e\u9700\u8981\u304c\u3042\u308a\u5e97\u8217\u306f\u9700\u8981\u306b\u5fdc\u3048\u308b\u3079\u304f\u5546\u54c1\u3092\u6ce8\u6587\u3057\u307e\u3059\u3002\u3053\u306e\u6642\u3001\u5e97\u8217\u306f\u54c1\u5207\u308c\u3060\u3051\u3067\u306a\u304f\u5728\u5eab\u4fdd\u6301\u30b3\u30b9\u30c8\u3092\u8003\u3048\u306a\u304c\u3089\u610f\u601d\u6c7a\u5b9a\u3092\u884c\u3063\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\r\n<ul>\r\n\t<li><strong>\u72b6\u614b\u306e\u6709\u9650\u96c6\u5408<\/strong><\/li>\r\n<\/ul>\r\n<p>\u3053\u3053\u3067\u3001\u5e97\u8217\u306e\u5728\u5eab\u306f\uff10\u304b\u3089\uff11\uff10\u500b\u307e\u3067\u4fdd\u7ba1\u3067\u304d\u308b\u3068\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u72b6\u614b\u6709\u9650\u96c6\u5408\u306f<\/p>\r\n<p>$$ \\mathbf{S} = (0,1,2,\\dots,10) $$<\/p>\r\n<p>\u3067\u3059\u3002<\/p>\r\n<ul>\r\n\t<li><strong>\u884c\u52d5\u306e\u6709\u9650\u96c6\u5408<\/strong><\/li>\r\n<\/ul>\r\n<p>\u5e97\u8217\u306f\u9700\u8981\u306b\u5408\u308f\u305b\u3066\u6ce8\u6587\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u304c\u30a8\u30fc\u30b8\u30a7\u30f3\u30c8\u306e\u884c\u52d5\u3067\u3059\u3002\u3044\u307e\u3001\u5404\u72b6\u614b\u3067\uff10\u304b\u3089\uff15\u500b\u307e\u3067\u6ce8\u6587\u3067\u304d\u308b\u3068\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u884c\u52d5\u6709\u9650\u96c6\u5408\u306f<\/p>\r\n<p>$$ \\mathbf{A} = (0,1,2,\\dots,5) $$<\/p>\r\n<p>\u3067\u3059\u3002<\/p>\r\n<ul>\r\n\t<li><strong>\u9077\u79fb\u78ba\u7387<\/strong><\/li>\r\n<\/ul>\r\n<p>\u5e97\u8217\u306f\u5728\u5eab\u72b6\u614b\u3092\u307f\u3066\u3001\u6ce8\u6587\u3092\u304b\u3051\u307e\u3059\u304c\u9700\u8981\u91cf\u306b\u5fdc\u3058\u3066\u6642\u671f\u306e\u5728\u5eab\u91cf\u304c\u6c7a\u5b9a\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u9700\u8981\u91cf\u306f\u78ba\u7387\u7684\u306b\u5909\u52d5\u3059\u308b\u306e\u3067\u9077\u79fb\u78ba\u7387\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\r\n<p>\u4f8b<\/p>\r\n<p>$$ P(2,5,3) = 0.3 $$<\/p>\r\n<p>\u3053\u306e\u4f8b\u306f\u5728\u5eab\u304c\uff12\u3067\u3042\u308b\u3068\u304d\u30015\u500b\u767a\u6ce8\u3092\u304b\u3051\u3001\u6642\u671f\u306e\u5728\u5eab\u91cf\u304c\uff13\u306b\u306a\u308b\u3068\u304d\u306e\u78ba\u7387\u304c30%\u3067\u3042\u308b\u3053\u3068\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\r\n<ul>\r\n\t<li><strong>\u5831\u916c\u95a2\u6570<\/strong><\/li>\r\n<\/ul>\r\n<p>\u3053\u3053\u3067\u5e97\u8217\u306f\u5728\u5eab\u4fdd\u6301\u30b3\u30b9\u30c8\u3001\u5728\u5eab\u5207\u308c\u30da\u30ca\u30eb\u30c6\u30a3\u3092\u6291\u3048\u308b\u3053\u3068\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\r\n<ul>\r\n\t<li>\u5728\u5eab\u4fdd\u6301\u30b3\u30b9\u30c8<\/li>\r\n<\/ul>\r\n<p>$$ H(s) = h \\times s $$<\/p>\r\n<p>\uff48\u306f\u5728\u5eab\u4e00\u500b\u5f53\u305f\u308a\u306e\u4fdd\u6301\u30b3\u30b9\u30c8<\/p>\r\n<p>\uff53\u306f\u5404\u72b6\u614b\u306e\u4fdd\u6709\u5728\u5eab\u6570<\/p>\r\n<p>\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\r\n<ul>\r\n\t<li>\u5728\u5eab\u5207\u308c\u30da\u30ca\u30eb\u30c6\u30a3<\/li>\r\n<\/ul>\r\n<p>$$ B(s,D) = b \\times max(0,D-s) $$<\/p>\r\n<p>\uff42\u306f\u4e0d\u8db3\u4e00\u500b\u5f53\u305f\u308a\u306e\u30da\u30ca\u30eb\u30c6\u30a3<\/p>\r\n<p>D\u306f\u9700\u8981\u3092\u8868\u3057\u3001\\(D-s &gt; 0\\)\u306e\u6642\u3001\u4e0d\u8db3\u304c\u767a\u751f\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\r\n<p>\u3068\u3057\u3066\u5b9a\u7fa9\u3059\u308b\u3068\u5831\u916c\u95a2\u6570\u306f\u3053\u308c\u3089\u3092\u7d44\u307f\u5408\u308f\u305b\u3066<\/p>\r\n<p>$$ R(s,D) = -(H(s) + B(s,D)) $$<\/p>\r\n<p>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\r\n<p>\u4f8b<\/p>\r\n<ul>\r\n\t<li>\u5728\u5eab\u4e00\u500b\u5f53\u305f\u308a\u306e\u4fdd\u6709\u30b3\u30b9\u30c8\\(:h=1\\)<\/li>\r\n\t<li>\u4e0d\u8db3\u4e00\u500b\u5f53\u305f\u308a\u306e\u30da\u30ca\u30eb\u30c6\u30a3\\(:b=10\\)<\/li>\r\n<\/ul>\r\n<p>\u4eca\u3001\u5728\u5eab5\u500b\u3067\u3042\u308a\u3001\u6ce8\u6587\uff13\u500b\u884c\u3063\u305f\u3068\u3053\u308d\u6ce8\u6587\u304c5\u500b\u3067\u3042\u3063\u305f\u5834\u5408\u3001\u5831\u916c\u95a2\u6570\u306f<\/p>\r\n<p>$$ R = -((1 \\times 8) + (10\\times0)) = -8 $$<\/p>\r\n<p>\u3068\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/p>\r\n<p>\u4ee5\u4e0a\u306e\u3088\u3046\u306b\u5e97\u8217\u306f\u73fe\u5728\u306e\u5728\u5eab\u6570\u3092\u898b\u3066\u3001\u6ce8\u6587\u3092\u884c\u3044\u3001\u78ba\u7387\u7684\u306b\u9700\u8981\u304c\u6c7a\u5b9a\u3055\u308c\u6b21\u306e\u5728\u5eab\u6570\u306b\u79fb\u3063\u3066\u3044\u304f\u3053\u3068\u3092\u7e70\u308a\u8fd4\u3057\u307e\u3059\u3002<\/p>\r\n<p>&nbsp;<\/p>\r\n<p><!-- notionvc: e0daea65-ecf7-410c-acbc-f4381c259673 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