{"id":4149,"date":"2025-09-30T13:44:02","date_gmt":"2025-09-30T04:44:02","guid":{"rendered":"https:\/\/www.altech-ads.com\/blog\/?p=4149"},"modified":"2025-09-30T13:44:51","modified_gmt":"2025-09-30T04:44:51","slug":"stanford-business-software%e3%81%aesnopt%e3%81%a8%e3%81%af%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/www.altech-ads.com\/blog\/2025\/09\/30\/post-4149\/","title":{"rendered":"Stanford Business Software\u306eSNOPT\u3068\u306f\uff1f"},"content":{"rendered":"\n<div class=\"container\">\n        <h1>SNOPT: \u5305\u62ec\u7684\u6982\u8981<\/h1>\n\n        <h2>SNOPT\u3068\u306f\u4f55\u3067\u3059\u304b\uff1f<\/h2>\n        <p>SNOPT\uff08Sparse Nonlinear OPTimizer\uff1a\u758e\u975e\u7dda\u5f62\u6700\u9069\u5316\u30bd\u30eb\u30d0\u30fc\uff09\u306f\u3001\u5927\u898f\u6a21\u6700\u9069\u5316\u554f\u984c\uff08\u7dda\u5f62\u304a\u3088\u3073\u975e\u7dda\u5f62\u30d7\u30ed\u30b0\u30e9\u30e0\uff09\u3092\u89e3\u304f\u305f\u3081\u306e\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u30d1\u30c3\u30b1\u30fc\u30b8\u3067\u3059\u3002SNOPT\uff08Philip Gill\u3001Walter Murray\u3001Michael Saunders\u306b\u3088\u3063\u3066\u958b\u767a\uff09\u306f\u3001\u7279\u306b\u95a2\u6570\u3068\u52fe\u914d\u306e\u8a55\u4fa1\u304c\u8a08\u7b97\u30b3\u30b9\u30c8\u306e\u9ad8\u3044\u975e\u7dda\u5f62\u554f\u984c\u306b\u5bfe\u3057\u3066\u52b9\u679c\u7684\u3067\u3059\u3002<\/p>\n        \n        <p>SNOPT\u306f\u3001\u591a\u304f\u306e\u5909\u6570\u3068\u5236\u7d04\u3092\u542b\u3080\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304f\u305f\u3081\u306e\u6c4e\u7528\u30b7\u30b9\u30c6\u30e0\u3067\u3059\u3002\u5909\u6570\u306e\u5883\u754c\u6761\u4ef6\u3068\u758e\u306a\u7dda\u5f62\u307e\u305f\u306f\u975e\u7dda\u5f62\u5236\u7d04\u306e\u4e0b\u3067\u3001\u7dda\u5f62\u307e\u305f\u306f\u975e\u7dda\u5f62\u95a2\u6570\u3092\u6700\u5c0f\u5316\u3057\u307e\u3059\u3002\u5927\u898f\u6a21\u7dda\u5f62\u304a\u3088\u3073\u4e8c\u6b21\u8a08\u753b\u554f\u984c\u306b\u9069\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n        <h2>\u4e2d\u6838\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3068\u6280\u8853\u57fa\u76e4<\/h2>\n        <p>SNOPT\u306f\u3001\u30e9\u30b0\u30e9\u30f3\u30b8\u30a2\u30f3\u306e\u30d8\u30c3\u30bb\u884c\u5217\u306b\u5bfe\u3059\u308b\u8a18\u61b6\u5236\u9650\u6e96\u30cb\u30e5\u30fc\u30c8\u30f3\u8fd1\u4f3c\u3092\u7528\u3044\u305f\u758eSQP\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u63a1\u7528\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u76ee\u7684\u95a2\u6570\u3068\u5236\u7d04\u306b\u304a\u3051\u308b\u6ed1\u3089\u304b\u306a\u975e\u7dda\u5f62\u95a2\u6570\u3092\u6301\u3064\u5236\u7d04\u4ed8\u304d\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304f\u305f\u3081\u306e\u9010\u6b21\u4e8c\u6b21\u8a08\u753b\u6cd5\uff08SQP\uff09\u3092\u5b9f\u88c5\u3057\u305f\u975e\u7dda\u5f62\u6700\u9069\u5316\u30bd\u30eb\u30d0\u30fc\u3067\u3059\u3002<\/p>\n        \n        <p>SNOPT\u306e\u6280\u8853\u7684\u6d17\u7df4\u5ea6\u306f\u3001\u3044\u304f\u3064\u304b\u306e\u4e3b\u8981\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u69cb\u6210\u8981\u7d20\u306b\u3042\u308a\u307e\u3059\u3002<\/p>\n\n        <h3>\u9010\u6b21\u4e8c\u6b21\u8a08\u753b\u6cd5\uff08SQP\uff09<\/h3>\n        <p>SQP\u306f\u3001\u975e\u7dda\u5f62\u5236\u7d04\u4ed8\u304d\u6700\u9069\u5316\u306b\u5bfe\u3059\u308b\u6700\u3082\u5f37\u529b\u306a\u30a2\u30d7\u30ed\u30fc\u30c1\u306e\u4e00\u3064\u3067\u3059\u3002\u3053\u306e\u624b\u6cd5\u306f\u3001\u5143\u306e\u975e\u7dda\u5f62\u6700\u9069\u5316\u554f\u984c\u3092\u8fd1\u4f3c\u3059\u308b\u4e8c\u6b21\u8a08\u753b\u554f\u984c\u306e\u90e8\u5206\u554f\u984c\u3092\u53cd\u5fa9\u7684\u306b\u89e3\u304f\u3053\u3068\u306b\u3088\u3063\u3066\u52d5\u4f5c\u3057\u307e\u3059\u3002\u5404\u53cd\u5fa9\u306b\u304a\u3044\u3066\u3001\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u4ee5\u4e0b\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n        \n        <ol>\n            <li>\u73fe\u5728\u306e\u70b9\u306e\u5468\u308a\u3067\u5236\u7d04\u3092\u7dda\u5f62\u5316<\/li>\n            <li>\u76ee\u7684\u95a2\u6570\u3092\u4e8c\u6b21\u30e2\u30c7\u30eb\u3067\u8fd1\u4f3c<\/li>\n            <li>\u5f97\u3089\u308c\u305f\u4e8c\u6b21\u8a08\u753b\u554f\u984c\u3092\u89e3\u3044\u3066\u63a2\u7d22\u65b9\u5411\u3092\u6c7a\u5b9a<\/li>\n            <li>\u9069\u5207\u306a\u9032\u6b69\u3092\u78ba\u4fdd\u3059\u308b\u305f\u3081\u306b\u76f4\u7dda\u63a2\u7d22\u3092\u5b9f\u884c<\/li>\n        <\/ol>\n        \n        <p>\u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u3001\u4e8c\u6b21\u8a08\u753b\u554f\u984c\u306e\u90e8\u5206\u554f\u984c\u304c\u4fe1\u983c\u6027\u9ad8\u304f\u52b9\u7387\u7684\u306b\u89e3\u3051\u308b\u305f\u3081\u3001\u7279\u306b\u52b9\u679c\u7684\u3067\u3042\u308a\u306a\u304c\u3089\u3001\u5168\u4f53\u7684\u624b\u6cd5\u304c\u9069\u5207\u306b\u5b9a\u5f0f\u5316\u3055\u308c\u305f\u554f\u984c\u306b\u5bfe\u3057\u3066\u8d85\u7dda\u5f62\u53ce\u675f\u7279\u6027\u3092\u7dad\u6301\u3059\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n\n        <h3>\u758e\u884c\u5217\u6280\u8853<\/h3>\n        <p>SNOPT\u306e\u300c\u30b9\u30d1\u30fc\u30b9\uff08Sparse\uff09\u300d\u3068\u3044\u3046\u540d\u79f0\u306f\u3001\u305d\u306e\u30b9\u30b1\u30fc\u30e9\u30d3\u30ea\u30c6\u30a3\u306b\u3068\u3063\u3066\u91cd\u8981\u3067\u3059\u3002\u73fe\u5b9f\u4e16\u754c\u306e\u6700\u9069\u5316\u554f\u984c\u306e\u591a\u304f\u306f\u758e\u6027\u3092\u793a\u3057\u3001\u5236\u7d04\u30e4\u30b3\u30d3\u884c\u5217\u306e\u5927\u90e8\u5206\u306e\u30a8\u30f3\u30c8\u30ea\u304c\u30bc\u30ed\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002SNOPT\u306f\u4ee5\u4e0b\u3092\u901a\u3058\u3066\u3053\u306e\u69cb\u9020\u3092\u6d3b\u7528\u3057\u307e\u3059\u3002<\/p>\n        \n        <ul>\n            <li>\u975e\u30bc\u30ed\u884c\u5217\u8981\u7d20\u306e\u307f\u3092\u683c\u7d0d\u3059\u308b\u7279\u6b8a\u30c7\u30fc\u30bf\u69cb\u9020<\/li>\n            <li>\u7dda\u5f62\u4ee3\u6570\u6f14\u7b97\u4e2d\u306b\u758e\u6027\u3092\u7dad\u6301\u3059\u308b\u758e\u56e0\u6570\u5206\u89e3\u6280\u8853<\/li>\n            <li>\u52b9\u7387\u7684\u306a\u884c\u5217\u9806\u5e8f\u4ed8\u3051\u3068\u8a18\u53f7\u524d\u51e6\u7406\u306e\u305f\u3081\u306e\u30b0\u30e9\u30d5\u7406\u8ad6\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/li>\n            <li>\u8a08\u7b97\u30aa\u30fc\u30d0\u30fc\u30d8\u30c3\u30c9\u3092\u5287\u7684\u306b\u524a\u6e1b\u3059\u308b\u30e1\u30e2\u30ea\u52b9\u7387\u7684\u683c\u7d0d\u30b9\u30ad\u30fc\u30e0<\/li>\n        <\/ul>\n        \n        <p>\u3053\u306e\u758e\u884c\u5217\u30a2\u30d7\u30ed\u30fc\u30c1\u306b\u3088\u308a\u3001SNOPT\u306f\u5bc6\u884c\u5217\u624b\u6cd5\u3067\u306f\u8a08\u7b97\u4e0a\u6271\u3048\u306a\u3044\u6570\u5343\u304b\u3089\u6570\u4e07\u306e\u5909\u6570\u3068\u5236\u7d04\u3092\u6301\u3064\u554f\u984c\u3092\u51e6\u7406\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n        <h3>\u8a18\u61b6\u5236\u9650\u6e96\u30cb\u30e5\u30fc\u30c8\u30f3\u6cd5<\/h3>\n        <p>\u4e8c\u6b21\u5c0e\u95a2\u6570\u306e\u5b8c\u5168\u306a\u30d8\u30c3\u30bb\u884c\u5217\u3092\u8a08\u7b97\u3057\u683c\u7d0d\u3059\u308b\u306e\u3067\u306f\u306a\u304f\u3001SNOPT\u306f\u4ee5\u4e0b\u3092\u884c\u3046\u6e96\u30cb\u30e5\u30fc\u30c8\u30f3\u8fd1\u4f3c\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/p>\n        \n        <ul>\n            <li>\u4e00\u6b21\u5c0e\u95a2\u6570\u60c5\u5831\uff08\u52fe\u914d\uff09\u306e\u307f\u3092\u5fc5\u8981\u3068\u3059\u308b<\/li>\n            <li>\u524d\u56de\u306e\u53cd\u5fa9\u304b\u3089\u66f2\u7387\u60c5\u5831\u3092\u53cd\u5fa9\u7684\u306b\u69cb\u7bc9<\/li>\n            <li>\u30e1\u30e2\u30ea\u4f7f\u7528\u91cf\u3092\u5236\u5fa1\u3059\u308b\u305f\u3081\u3001\u6700\u8fd1\u306e\u53cd\u5fa9\u306e\u5c65\u6b74\u3092\u9650\u5b9a\u7684\u306b\u683c\u7d0d<\/li>\n            <li>\u4fe1\u983c\u3067\u304d\u308b\u63a2\u7d22\u65b9\u5411\u3092\u4fdd\u8a3c\u3059\u308b\u305f\u3081\u6b63\u5b9a\u6027\u3092\u7dad\u6301<\/li>\n        <\/ul>\n        \n        <p>\u3053\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\u306f\u3001\u5b8c\u5168\u306a\u30d8\u30c3\u30bb\u884c\u5217\u306e\u8a08\u7b97\u3084\u683c\u7d0d\u304c\u6cd5\u5916\u306b\u9ad8\u4fa1\u306a\u5927\u898f\u6a21\u554f\u984c\u306b\u7279\u306b\u4fa1\u5024\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n        <h2>\u554f\u984c\u5b9a\u5f0f\u5316\u3068\u6a5f\u80fd<\/h2>\n        <p>SNOPT\u306f\u5236\u7d04\u4ed8\u304d\u6700\u9069\u5316\u306e\u305f\u3081\u306e\u6c4e\u7528\u30b7\u30b9\u30c6\u30e0\u3067\u3059\u3002\u3059\u3079\u3066\u306e\u5909\u6570\u3068\u5236\u7d04\u306b\u4e0a\u9650\u3068\u4e0b\u9650\u304c\u6307\u5b9a\u3055\u308c\u307e\u3059\u3002\u3053\u306e\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u306f\u4ee5\u4e0b\u306e\u4e00\u822c\u5f62\u306e\u6700\u9069\u5316\u554f\u984c\u3092\u6271\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n        \n        <div class=\"highlight\">\n            <p><strong>\u6700\u5c0f\u5316\uff08\u307e\u305f\u306f\u6700\u5927\u5316\uff09:<\/strong> f(x)<\/p>\n            <p><strong>\u5236\u7d04\u6761\u4ef6\uff1a<\/strong><\/p>\n            <ul>\n                <li>\u975e\u7dda\u5f62\u7b49\u5f0f\u5236\u7d04\uff1ac_E(x) = 0<\/li>\n                <li>\u975e\u7dda\u5f62\u4e0d\u7b49\u5f0f\u5236\u7d04\uff1ac_I(x) \u2265 0<\/li>\n                <li>\u7dda\u5f62\u5236\u7d04\uff1aAx = b\u3001Gx \u2265 h<\/li>\n                <li>\u7bc4\u56f2\u5236\u7d04\uff1al \u2264 x \u2264 u<\/li>\n            <\/ul>\n        <\/div>\n        \n        <p>j\u756a\u76ee\u306e\u5236\u7d04\u306f\u3001lj = uj\u3068\u8a2d\u5b9a\u3059\u308b\u3053\u3068\u3067\u7b49\u5f0f\u3068\u3057\u3066\u5b9a\u7fa9\u3067\u304d\u307e\u3059\u3002\u7279\u5b9a\u306e\u7bc4\u56f2\u304c\u5b58\u5728\u3057\u306a\u3044\u5834\u5408\u3001l\u307e\u305f\u306fu\u306e\u95a2\u9023\u8981\u7d20\u3092\u5927\u304d\u306a\u5024\u306b\u8a2d\u5b9a\u3059\u308b\u3053\u3068\u3067\u3001\u4e8b\u5b9f\u4e0a\u305d\u306e\u5236\u7d04\u3092\u9664\u53bb\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n        \n        <p>\u3053\u306e\u5236\u7d04\u51e6\u7406\u306e\u67d4\u8edf\u6027\u306b\u3088\u308a\u3001SNOPT\u306f\u4e8b\u5b9f\u4e0a\u3042\u3089\u3086\u308b\u6ed1\u3089\u304b\u306a\u5236\u7d04\u4ed8\u304d\u6700\u9069\u5316\u554f\u984c\u306b\u9069\u7528\u3067\u304d\u307e\u3059\u3002\u540c\u4e00\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u7684\u67a0\u7d44\u307f\u306b\u304a\u3044\u3066\u7bc4\u56f2\u5236\u7d04\u3001\u7dda\u5f62\u5236\u7d04\u3001\u975e\u7dda\u5f62\u5236\u7d04\u306e\u7d71\u4e00\u7684\u306b\u6271\u3046\u3053\u3068\u3067\u3001\u8a08\u7b97\u52b9\u7387\u3068\u30e6\u30fc\u30b6\u30fc\u306e\u5229\u4fbf\u6027\u306e\u4e21\u65b9\u304c\u63d0\u4f9b\u3055\u308c\u307e\u3059\u3002<\/p>\n\n        <h2>\u5fdc\u7528\u3068\u4f7f\u7528\u4e8b\u4f8b<\/h2>\n        <p>\u8ecc\u9053\u6700\u9069\u5316\u3001\u6700\u9069\u5236\u5fa1\u3001\u30ed\u30dc\u30c3\u30c8\u5de5\u5b66\u3001\u5de5\u5b66\u8a2d\u8a08\u3001\u975e\u7dda\u5f62\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3001\u8cbf\u6613\u30e2\u30c7\u30eb\u3001\u30dd\u30fc\u30c8\u30d5\u30a9\u30ea\u30aa\u5206\u6790\u3001\u7a7a\u9593\u5747\u8861\u304cSNOPT\u306e\u4e3b\u8981\u5fdc\u7528\u5206\u91ce\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n        <h3>\u5de5\u5b66\u5fdc\u7528<\/h3>\n        <p>\u5de5\u5b66\u5206\u91ce\u306b\u304a\u3044\u3066\u3001SNOPT\u306f\u4ee5\u4e0b\u306e\u554f\u984c\u3067\u512a\u308c\u305f\u6027\u80fd\u3092\u767a\u63ee\u3057\u307e\u3059\u3002<\/p>\n        \n        <ul>\n            <li>\u69cb\u9020\u6700\u9069\u5316\uff1a\u5fdc\u529b\u3001\u5909\u4f4d\u3001\u88fd\u9020\u5236\u7d04\u306e\u4e0b\u3067\u6700\u9069\u8a2d\u8a08\u3092\u898b\u3064\u3051\u308b\u3053\u3068<\/li>\n            <li>\u8ecc\u9053\u6700\u9069\u5316\uff1a\u5b87\u5b99\u8239\u3001\u822a\u7a7a\u6a5f\u3001\u30ed\u30dc\u30c3\u30c8\u30b7\u30b9\u30c6\u30e0\u306e\u8907\u96d1\u306a\u30c0\u30a4\u30ca\u30df\u30af\u30b9\u3068\u7d4c\u8def\u5236\u7d04<\/li>\n            <li>\u5236\u5fa1\u30b7\u30b9\u30c6\u30e0\u8a2d\u8a08\uff1a\u5b89\u5b9a\u6027\u3068\u6027\u80fd\u4ed5\u69d8\u3092\u6e80\u305f\u3057\u306a\u304c\u3089\u5236\u5fa1\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u6700\u9069\u5316<\/li>\n            <li>\u5316\u5b66\u5de5\u5b66\u306b\u304a\u3051\u308b\u30d7\u30ed\u30bb\u30b9\u6700\u9069\u5316\uff1a\u5b89\u5168\u6027\u3068\u904b\u7528\u5236\u7d04\u3092\u4f34\u3046\u975e\u7dda\u5f62\u30d7\u30ed\u30bb\u30b9\u30e2\u30c7\u30eb<\/li>\n        <\/ul>\n\n        <h3>\u91d1\u878d\u30fb\u7d4c\u6e08\u30e2\u30c7\u30ea\u30f3\u30b0<\/h3>\n        <p>\u5de5\u5b66\u3001\u7d4c\u6e08\u5b66\u3001\u91d1\u878d\u3001\u8fb2\u696d\u7d4c\u6e08\u5b66\u304c\u4e3b\u8981\u5fdc\u7528\u5206\u91ce\u3068\u3057\u3066\u5f37\u8abf\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u5206\u91ce\u3067\u306f\uff1a<\/p>\n        \n        <ul>\n            <li>\u30dd\u30fc\u30c8\u30d5\u30a9\u30ea\u30aa\u6700\u9069\u5316\uff1a\u975e\u7dda\u5f62\u30ea\u30b9\u30af\u6307\u6a19\u3092\u901a\u3058\u3066\u30ea\u30b9\u30af\u3092\u5236\u5fa1\u3057\u306a\u304c\u3089\u30ea\u30bf\u30fc\u30f3\u3092\u6700\u5927\u5316<\/li>\n            <li>\u7d4c\u6e08\u5747\u8861\u30e2\u30c7\u30eb\uff1a\u5e02\u5834\u6e05\u7b97\u6761\u4ef6\u3092\u8868\u3059\u975e\u7dda\u5f62\u65b9\u7a0b\u5f0f\u30b7\u30b9\u30c6\u30e0\u306e\u89e3\u6cd5<\/li>\n            <li>\u8fb2\u696d\u7d4c\u6e08\u5b66\u5fdc\u7528\uff1a\u4e0d\u78ba\u5b9f\u6027\u4e0b\u3067\u306e\u4f5c\u7269\u8a08\u753b\u3068\u8cc7\u6e90\u914d\u5206<\/li>\n            <li>\u91d1\u878d\u30c7\u30ea\u30d0\u30c6\u30a3\u30d6\u4fa1\u683c\u8a2d\u5b9a\uff1a\u8907\u96d1\u306a\u504f\u5fae\u5206\u65b9\u7a0b\u5f0f\u307e\u305f\u306f\u6700\u9069\u5316\u554f\u984c\u306e\u89e3\u6cd5<\/li>\n        <\/ul>\n\n        <h3>\u79d1\u5b66\u30fb\u7814\u7a76\u5fdc\u7528<\/h3>\n        <p>\u9ad8\u4fa1\u306a\u95a2\u6570\u8a55\u4fa1\u306b\u5bfe\u3059\u308b\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u306e\u52b9\u679c\u6027\u306b\u3088\u308a\u3001\u4ee5\u4e0b\u306b\u7279\u306b\u4fa1\u5024\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n        \n        <ul>\n            <li>\u8907\u96d1\u306a\u79d1\u5b66\u30e2\u30c7\u30eb\u306b\u304a\u3051\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u63a8\u5b9a\uff08\u5404\u95a2\u6570\u8a55\u4fa1\u306b\u9ad8\u4fa1\u306a\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u304c\u5fc5\u8981\uff09<\/li>\n            <li>\u5730\u7403\u7269\u7406\u5b66\u3001\u533b\u7528\u753b\u50cf\u51e6\u7406\u7b49\u306e\u9006\u554f\u984c<\/li>\n            <li>\u8a2d\u8a08\u8a55\u4fa1\u306b\u8a08\u7b97\u6d41\u4f53\u529b\u5b66\u3084\u6709\u9650\u8981\u7d20\u89e3\u6790\u304c\u5fc5\u8981\u306a\u8a2d\u8a08\u6700\u9069\u5316<\/li>\n            <li>\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u8a13\u7df4\u3084\u30cf\u30a4\u30d1\u30fc\u30d1\u30e9\u30e1\u30fc\u30bf\u6700\u9069\u5316\u3092\u542b\u3080\u6a5f\u68b0\u5b66\u7fd2\u5fdc\u7528<\/li>\n        <\/ul>\n\n        <h2>\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u7d71\u5408\u3068\u30a4\u30f3\u30bf\u30fc\u30d5\u30a7\u30fc\u30b9<\/h2>\n        <p>SNOPT\u306f\u4ee3\u6570\u30e2\u30c7\u30ea\u30f3\u30b0\u30b7\u30b9\u30c6\u30e0GAMS\u3068AMPL\u306e\u65b0\u3057\u3044\u975e\u7dda\u5f62\u30bd\u30eb\u30d0\u30fc\u3067\u3059\u3002TOMLab\u306fMATLAB\u306e\u6700\u9069\u5316\u74b0\u5883\u3067\u3042\u308a\u3001MINOS\u3001LSSOL\u3001NPSOL\u3001SQOPT\u3001SNOPT\u304a\u3088\u3073\u591a\u304f\u306e\u7570\u306a\u308b\u554f\u984c\u30bf\u30a4\u30d7\u306b\u5bfe\u5fdc\u3059\u308b\u591a\u6570\u306e\u4ed6\u306e\u30bd\u30eb\u30d0\u30fc\u3078\u306e\u30a4\u30f3\u30bf\u30fc\u30d5\u30a7\u30fc\u30b9\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/p>\n\n        <h3>\u30e2\u30c7\u30ea\u30f3\u30b0\u8a00\u8a9e<\/h3>\n        <p>GAMS\uff08General Algebraic Modeling System\uff09\u304a\u3088\u3073AMPL\uff08A Mathematical Programming Language\uff09\u3068\u306e\u7d71\u5408\u306b\u3088\u308a\u3001\u30e6\u30fc\u30b6\u30fc\u306f\u4ee5\u4e0b\u3092\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n        \n        <ul>\n            <li>\u81ea\u7136\u306a\u6570\u5b66\u8a18\u6cd5\u3092\u7528\u3044\u305f\u9ad8\u30ec\u30d9\u30eb\u554f\u984c\u4ed5\u69d8<\/li>\n            <li>\u52fe\u914d\u3068\u30e4\u30b3\u30d3\u884c\u5217\u8a08\u7b97\u306e\u305f\u3081\u306e\u81ea\u52d5\u5fae\u5206<\/li>\n            <li>\u30c7\u30fc\u30bf\u3001\u30b7\u30ca\u30ea\u30aa\u3001\u7d50\u679c\u3092\u6271\u3046\u30e2\u30c7\u30eb\u7ba1\u7406\u6a5f\u80fd<\/li>\n            <li>\u30c7\u30d0\u30c3\u30b0\u3068\u89e3\u6790\u30c4\u30fc\u30eb\u3092\u5099\u3048\u305f\u5c02\u9580\u7684\u30e2\u30c7\u30ea\u30f3\u30b0\u74b0\u5883<\/li>\n        <\/ul>\n\n        <h3>MATLAB\u7d71\u5408<\/h3>\n        <p>TOMLab\u3092\u901a\u3058\u3066\u3001SNOPT\u306fMATLAB\u30a8\u30b3\u30b7\u30b9\u30c6\u30e0\u5185\u3067\u30a2\u30af\u30bb\u30b9\u53ef\u80fd\u306b\u306a\u308a\u3001\u4ee5\u4e0b\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n        \n        <ul>\n            <li>MATLAB\u5909\u6570\u3068\u6700\u9069\u5316\u554f\u984c\u9593\u306e\u30b7\u30fc\u30e0\u30ec\u30b9\u306a\u30c7\u30fc\u30bf\u4ea4\u63db<\/li>\n            <li>\u6700\u9069\u5316\u7d50\u679c\u3092\u5206\u6790\u3059\u308b\u305f\u3081\u306e\u53ef\u8996\u5316\u6a5f\u80fd<\/li>\n            <li>\u4fe1\u53f7\u51e6\u7406\u3001\u5236\u5fa1\u30b7\u30b9\u30c6\u30e0\u3001\u7d71\u8a08\u306e\u4ed6\u306eMATLAB\u30c4\u30fc\u30eb\u30dc\u30c3\u30af\u30b9\u3068\u306e\u7d71\u5408<\/li>\n            <li>\u6700\u9069\u5316\u30d9\u30fc\u30b9\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3068\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u8fc5\u901f\u30d7\u30ed\u30c8\u30bf\u30a4\u30d4\u30f3\u30b0<\/li>\n        <\/ul>\n\n        <h3>\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u30a4\u30f3\u30bf\u30fc\u30d5\u30a7\u30fc\u30b9<\/h3>\n        <p>\u30b9\u30ec\u30c3\u30c9\u30bb\u30fc\u30d5\uff08\u518d\u5165\u53ef\u80fd\uff09\u30dd\u30fc\u30bf\u30d6\u30eb\u30b3\u30fc\u30c9\uff08Fortran 77\uff09\u306b\u3088\u308a\u3001SNOPT\u306f\u4ee5\u4e0b\u304c\u4fdd\u8a3c\u3055\u308c\u307e\u3059\u3002<\/p>\n        \n        <ul>\n            <li>C\u3001C++\u3001Python\u306a\u3069\u306e\u8907\u6570\u306e\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u304b\u3089\u306e\u547c\u3073\u51fa\u3057<\/li>\n            <li>\u4e26\u5217\u547c\u3073\u51fa\u3057\u9593\u306e\u5e72\u6e09\u306a\u3057\u3067\u30de\u30eb\u30c1\u30b9\u30ec\u30c3\u30c9\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3067\u306e\u4f7f\u7528<\/li>\n            <li>\u30dd\u30fc\u30bf\u30d6\u30eb\u5b9f\u88c5\u306b\u3088\u308b\u69d8\u3005\u306a\u30b3\u30f3\u30d4\u30e5\u30fc\u30c6\u30a3\u30f3\u30b0\u30d7\u30e9\u30c3\u30c8\u30d5\u30a9\u30fc\u30e0\u3067\u306e\u5c55\u958b<\/li>\n            <li>\u4fe1\u983c\u6027\u3078\u306e\u4fe1\u983c\u3092\u6301\u3063\u305f\u5927\u898f\u6a21\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u30b7\u30b9\u30c6\u30e0\u3078\u306e\u7d71\u5408<\/li>\n        <\/ul>\n\n        <h2>\u7d44\u7e54\u69cb\u9020\u3068\u958b\u767a<\/h2>\n        <p>UC San Diego\u306e\u8a08\u7b97\u6570\u5b66\u30bb\u30f3\u30bf\u30fc\u30b0\u30eb\u30fc\u30d7\u3068Stanford\u5927\u5b66\u306e\u30b7\u30b9\u30c6\u30e0\u6700\u9069\u5316\u7814\u7a76\u6240\u306e\u7814\u7a76\u8005\u304c\u3001\u5b66\u8853\u3001\u7814\u7a76\u3001\u5546\u7528\u5229\u7528\u306e\u305f\u3081\u306e\u6570\u5024\u6700\u9069\u5316\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u306e\u7814\u7a76\u958b\u767a\u3092\u884c\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n        <h3>\u5b66\u8853\u7684\u57fa\u76e4<\/h3>\n        <p>SNOPT\u306e\u958b\u767a\u306f\u3001\u4e8c\u3064\u306e\u4e3b\u8981\u306a\u6700\u9069\u5316\u7814\u7a76\u30b0\u30eb\u30fc\u30d7\u9593\u306e\u5354\u529b\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n        \n        <p><strong>Stanford\u306eSystems Optimization Laboratory\uff08SOL\uff09<\/strong>\u306f\u6570\u5341\u5e74\u306b\u308f\u305f\u3063\u3066\u6700\u9069\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u958b\u767a\u306e\u6700\u524d\u7dda\u306b\u3042\u308a\u307e\u3059\u3002\u540c\u7814\u7a76\u5ba4\u306e\u7814\u7a76\u306f\u4ee5\u4e0b\u306b\u7126\u70b9\u3092\u5f53\u3066\u3066\u3044\u307e\u3059\u3002<\/p>\n        \n        <ul>\n            <li>\u5927\u898f\u6a21\u6700\u9069\u5316\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/li>\n            <li>\u758e\u884c\u5217\u6280\u8853<\/li>\n            <li>\u9010\u6b21\u4e8c\u6b21\u8a08\u753b\u6cd5<\/li>\n            <li>\u7dda\u5f62\u30fb\u975e\u7dda\u5f62\u8a08\u753b\u306e\u305f\u3081\u306e\u5185\u70b9\u6cd5<\/li>\n        <\/ul>\n        \n        <p>UC San Diego\u306e\u8a08\u7b97\u6570\u5b66\u30bb\u30f3\u30bf\u30fc\u306f\u4ee5\u4e0b\u306e\u5c02\u9580\u77e5\u8b58\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/p>\n        \n        <ul>\n            <li>\u6570\u5024\u7dda\u5f62\u4ee3\u6570<\/li>\n            <li>\u79d1\u5b66\u8a08\u7b97<\/li>\n            <li>\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u5b9f\u88c5\u3068\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u5de5\u5b66<\/li>\n            <li>\u8a08\u7b97\u8907\u96d1\u6027\u89e3\u6790<\/li>\n        <\/ul>\n\n        <h3>\u7814\u7a76\u304b\u3089\u5b9f\u8df5\u3078\u306e\u30d1\u30a4\u30d7\u30e9\u30a4\u30f3<\/h3>\n        <p>\u3053\u306e\u5b66\u8853\u7684\u57fa\u76e4\u306b\u3088\u308a\u3001SNOPT\u306f\u4ee5\u4e0b\u3092\u53d6\u308a\u5165\u308c\u308b\u3053\u3068\u304c\u4fdd\u8a3c\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n        \n        <ul>\n            <li>\u6700\u65b0\u306e\u7406\u8ad6\u767a\u5c55\u306b\u57fa\u3065\u304f\u6700\u5148\u7aef\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/li>\n            <li>\u4fe1\u983c\u6027\u3068\u5805\u7262\u6027\u3092\u4fdd\u8a3c\u3059\u308b\u53b3\u5bc6\u306a\u6570\u5024\u89e3\u6790<\/li>\n            <li>\u591a\u69d8\u306a\u554f\u984c\u96c6\u5408\u3067\u306e\u5e83\u7bc4\u56f2\u306a\u30c6\u30b9\u30c8<\/li>\n            <li>\u7d99\u7d9a\u7684\u7814\u7a76\u3068\u30e6\u30fc\u30b6\u30fc\u30d5\u30a3\u30fc\u30c9\u30d0\u30c3\u30af\u3092\u901a\u3058\u305f\u7d99\u7d9a\u7684\u6539\u5584<\/li>\n        <\/ul>\n\n        <h2>\u6280\u8853\u7684\u5229\u70b9\u3068\u7279\u5fb4\u7684\u6a5f\u80fd<\/h2>\n        <p>\u3044\u304f\u3064\u304b\u306e\u6280\u8853\u7684\u7279\u6027\u306b\u3088\u308a\u3001SNOPT\u306f\u7279\u306b\u52b9\u679c\u7684\u3067\u3059\u3002<\/p>\n\n        <h3>\u5805\u7262\u6027<\/h3>\n        <p>SNOPT\u306f\u56f0\u96e3\u306a\u6700\u9069\u5316\u554f\u984c\u3092\u51e6\u7406\u3059\u308b\u305f\u3081\u306e\u591a\u6570\u306e\u6280\u8853\u3092\u7d44\u307f\u8fbc\u3093\u3067\u3044\u307e\u3059\u3002<\/p>\n        \n        <ul>\n            <li>\u968e\u6570\u4e0d\u8db3\u307e\u305f\u306f\u307b\u307c\u7279\u7570\u306a\u30b7\u30b9\u30c6\u30e0\u3092\u51e6\u7406\u3059\u308b\u6b63\u5247\u5316\u624b\u6cd5<\/li>\n            <li>\u6570\u5024\u6761\u4ef6\u3092\u6539\u5584\u3059\u308b\u30b9\u30b1\u30fc\u30ea\u30f3\u30b0\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/li>\n            <li>\u8907\u6570\u306e\u505c\u6b62\u57fa\u6e96\u3092\u6301\u3064\u53ce\u675f\u76e3\u8996<\/li>\n            <li>\u554f\u984c\u306e\u3042\u308b\u53cd\u5fa9\u306b\u5bfe\u3059\u308b\u5931\u6557\u56de\u5fa9\u30e1\u30ab\u30cb\u30ba\u30e0<\/li>\n        <\/ul>\n\n        <h3>\u52b9\u7387\u6027<\/h3>\n        <p>\u9ad8\u4fa1\u306a\u95a2\u6570\u8a55\u4fa1\u3092\u4f34\u3046\u554f\u984c\u306b\u5bfe\u3057\u3066\u3001SNOPT\u306e\u52b9\u7387\u6027\u306e\u5229\u70b9\u306b\u306f\u4ee5\u4e0b\u304c\u542b\u307e\u308c\u307e\u3059\u3002<\/p>\n        \n        <ul>\n            <li>\u9069\u5207\u306b\u5b9a\u5f0f\u5316\u3055\u308c\u305f\u554f\u984c\u306b\u5bfe\u3059\u308b\u8d85\u7dda\u5f62\u53ce\u675f\u306b\u3088\u308a\u3001\u3088\u308a\u5c11\u306a\u3044\u53cd\u5fa9\u56de\u6570<\/li>\n            <li>\u8a08\u7b97\u30aa\u30fc\u30d0\u30fc\u30d8\u30c3\u30c9\u3092\u6700\u5c0f\u5316\u3059\u308b\u6ce8\u610f\u6df1\u3044\u95a2\u6570\u8a55\u4fa1\u7ba1\u7406<\/li>\n            <li>\u95a2\u9023\u554f\u984c\u306e\u5217\u3092\u89e3\u304f\u305f\u3081\u306e\u30a6\u30a9\u30fc\u30e0\u30b9\u30bf\u30fc\u30c8\u6a5f\u80fd<\/li>\n            <li>\u8a08\u7b97\u8907\u96d1\u6027\u3092\u524a\u6e1b\u3059\u308b\u758e\u884c\u5217\u6d3b\u7528<\/li>\n        <\/ul>\n\n        <h3>\u67d4\u8edf\u6027<\/h3>\n        <p>\u4e00\u822c\u7684\u306a\u5236\u7d04\u51e6\u7406\u6a5f\u80fd\u306b\u3088\u308a\u3001\u30e6\u30fc\u30b6\u30fc\u306f\u4ee5\u4e0b\u306e\u5229\u76ca\u3092\u5f97\u3089\u308c\u307e\u3059\u3002<\/p>\n        \n        <ul>\n            <li>\u554f\u984c\u56fa\u6709\u306e\u518d\u5b9a\u5f0f\u5316\u306e\u5fc5\u8981\u306a\u3057\u3067\u306e\u7d71\u4e00\u554f\u984c\u5b9a\u5f0f\u5316<\/li>\n            <li>\u81ea\u52d5\u5236\u7d04\u5206\u985e\u3068\u7279\u6b8a\u51e6\u7406<\/li>\n            <li>\u52a0\u91cd\u548c\u307e\u305f\u306f\u5236\u7d04\u624b\u6cd5\u306b\u3088\u308b\u591a\u76ee\u7684\u6700\u9069\u5316\u6a5f\u80fd<\/li>\n        <\/ul>\n\n        <h2>\u30d0\u30fc\u30b8\u30e7\u30f3\u9032\u5316\u3068\u73fe\u5728\u306e\u72b6\u6cc1<\/h2>\n        <p>SNOPT 7.7\u304c\u73fe\u5728\u306e\u30d0\u30fc\u30b8\u30e7\u30f3\u3092\u8868\u3057\u3001\u7d99\u7d9a\u7684\u306a\u958b\u767a\u3068\u4fdd\u5b88\u3092\u793a\u3057\u3066\u304a\u308a\u307e\u3059\u3002\u8907\u6570\u30d0\u30fc\u30b8\u30e7\u30f3\u3092\u901a\u3058\u305f\u9032\u5316\u306f\u4ee5\u4e0b\u3092\u5b9f\u8a3c\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n        <h3>\u7d99\u7d9a\u7684\u6539\u5584<\/h3>\n        <ul>\n            <li>\u7406\u8ad6\u7684\u9032\u6b69\u3068\u30e6\u30fc\u30b6\u30fc\u30d5\u30a3\u30fc\u30c9\u30d0\u30c3\u30af\u306b\u57fa\u3065\u304f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u5f37\u5316<\/li>\n            <li>\u5e83\u7bc4\u56f2\u306a\u30c6\u30b9\u30c8\u3068\u89e3\u6790\u306b\u3088\u308b\u6570\u5024\u5b89\u5b9a\u6027\u6539\u5584<\/li>\n            <li>\u3088\u308a\u52b9\u7387\u7684\u306a\u5b9f\u88c5\u306b\u3088\u308b\u6027\u80fd\u6700\u9069\u5316<\/li>\n            <li>\u73fe\u4ee3\u306e\u30b3\u30f3\u30d4\u30e5\u30fc\u30c6\u30a3\u30f3\u30b0\u74b0\u5883\u3092\u30b5\u30dd\u30fc\u30c8\u3059\u308b\u30a4\u30f3\u30bf\u30fc\u30d5\u30a7\u30fc\u30b9\u66f4\u65b0<\/li>\n        <\/ul>\n\n        <h3>\u5f8c\u65b9\u4e92\u63db\u6027<\/h3>\n        <p>\u30d0\u30fc\u30b8\u30e7\u30f3\u9593\u3067\u306e\u4e92\u63db\u6027\u7dad\u6301\u306b\u3088\u308a\u4ee5\u4e0b\u304c\u4fdd\u8a3c\u3055\u308c\u307e\u3059\u3002<\/p>\n        \n        <ul>\n            <li>\u65e2\u5b58\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3092\u6301\u3064\u30e6\u30fc\u30b6\u30fc\u306e\u6295\u8cc7\u4fdd\u8b77<\/li>\n            <li>\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u30d0\u30fc\u30b8\u30e7\u30f3\u30a2\u30c3\u30d7\u30b0\u30ec\u30fc\u30c9\u6642\u306e\u30b9\u30e0\u30fc\u30ba\u306a\u79fb\u884c\u7d4c\u8def<\/li>\n            <li>\u7570\u306a\u308b\u5c55\u958b\u74b0\u5883\u3067\u306e\u4e00\u8cab\u3057\u305f\u52d5\u4f5c<\/li>\n            <li>\u30df\u30c3\u30b7\u30e7\u30f3\u30af\u30ea\u30c6\u30a3\u30ab\u30eb\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u306e\u305f\u3081\u306e\u9577\u671f\u4fe1\u983c\u6027<\/li>\n        <\/ul>\n\n        <h2>\u7d50\u8ad6<\/h2>\n        <p>SNOPT\u306f\u3001\u5b66\u8853\u7814\u7a76\u3068\u5b9f\u7528\u7684\u5fdc\u7528\u3092\u6210\u529f\u88cf\u306b\u6a4b\u6e21\u3057\u3059\u308b\u6210\u719f\u3057\u305f\u6d17\u7df4\u3055\u308c\u305f\u6700\u9069\u5316\u30bd\u30eb\u30d0\u30fc\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002\u7406\u8ad6\u7684\u5065\u5168\u6027\u3001\u8a08\u7b97\u52b9\u7387\u6027\u3001\u5b9f\u7528\u7684\u5805\u7262\u6027\u306e\u7d44\u307f\u5408\u308f\u305b\u306b\u3088\u308a\u3001\u5927\u898f\u6a21\u975e\u7dda\u5f62\u6700\u9069\u5316\u554f\u984c\u306e\u89e3\u6cd5\u3092\u5fc5\u8981\u3068\u3059\u308b\u591a\u69d8\u306a\u5206\u91ce\u306b\u304a\u3051\u308b\u6a19\u6e96\u30c4\u30fc\u30eb\u3068\u3057\u3066\u306e\u5730\u4f4d\u3092\u78ba\u7acb\u3057\u307e\u3057\u305f\u3002<\/p>\n        \n        <p>\u3053\u306e\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u306e\u6210\u529f\u306f\u3001\u9010\u6b21\u4e8c\u6b21\u8a08\u753b\u6cd5\u306b\u304a\u3051\u308b\u5805\u56fa\u306a\u6570\u5b66\u7684\u57fa\u76e4\u3001\u554f\u984c\u306e\u758e\u6027\u306e\u52b9\u679c\u7684\u6d3b\u7528\u3001\u6570\u5024\u5b9f\u88c5\u8a73\u7d30\u3078\u306e\u6ce8\u610f\u6df1\u3044\u914d\u616e\u306b\u7531\u6765\u3057\u3066\u3044\u307e\u3059\u3002\u5b66\u8853\u7814\u7a76\u8005\u3068\u5546\u7528\u914d\u5e03\u8005\u9593\u306e\u7d99\u7d9a\u7684\u5354\u529b\u306b\u3088\u308a\u3001SNOPT\u306f\u7523\u696d\u5fdc\u7528\u306b\u5fc5\u8981\u306a\u4fe1\u983c\u6027\u3068\u30b5\u30dd\u30fc\u30c8\u3092\u7dad\u6301\u3057\u306a\u304c\u3089\u3001\u6700\u65b0\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u9032\u6b69\u3092\u7d99\u7d9a\u7684\u306b\u53d6\u308a\u5165\u308c\u308b\u3053\u3068\u304c\u4fdd\u8a3c\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n        \n        <p>\u79d1\u5b66\u3001\u5de5\u5b66\u3001\u30d3\u30b8\u30cd\u30b9\u5fdc\u7528\u306b\u304a\u3044\u3066\u6700\u9069\u5316\u554f\u984c\u304c\u898f\u6a21\u3068\u8907\u96d1\u6027\u306b\u304a\u3044\u3066\u7d99\u7d9a\u7684\u306b\u6210\u9577\u3059\u308b\u4e2d\u3001\u758e\u6027\u6d3b\u7528\u3001\u5805\u7262\u306a\u6570\u5024\u8a08\u7b97\u3001\u6c4e\u7528\u6a5f\u80fd\u3068\u3044\u3046SNOPT\u306e\u8a2d\u8a08\u539f\u5247\u306f\u3001\u9032\u5316\u3059\u308b\u6700\u9069\u5316\u74b0\u5883\u306b\u304a\u3051\u308b\u7d99\u7d9a\u7684\u95a2\u9023\u6027\u306b\u9069\u3057\u305f\u30dd\u30b8\u30b7\u30e7\u30f3\u3092\u5360\u3081\u3066\u3044\u307e\u3059\u3002<\/p>\n    <\/div>\n\n\n\n<p class=\"is-style-st-paragraph-pen has-st-icon has-st-icon-hand-right has-background has-st-regular-font-size wp-block-paragraph\" style=\"background-color:#f5f6f7\"><strong>\u5546\u54c1\u306e\u8a73\u7d30\u3068\u304a\u554f\u3044\u5408\u308f\u305b\u306f\u3053\u3061\u3089\u304b\u3089\u2193\u2193<\/strong><br><a href=\"https:\/\/www.altech-ads.com\/products\/Stanford-Business-Software\/\" target=\"_blank\" rel=\"nofollow\"><strong>Stanford Business Software\u88fd\u54c1\u30da\u30fc\u30b8<\/strong><\/a><\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"wp-block-st-blocks-my-button st-mybtn st-reflection st-btn-default st-mybtn-noborder\" style=\"border-width:0px;border-radius:60px;font-weight:bold;box-shadow:none;background:#096da7\"><a href=\"\/wsTop\/support.html\" rel=\"noopener noreferrer nofollow\" style=\"font-weight:bold\" target=\"_blank\"><i class=\"st-fa st-svg-question-circle st-css-no\" aria-hidden=\"\"><\/i>worldsoft\u3078\u306e\u304a\u554f\u3044\u5408\u308f\u305b\u306f\u3053\u3061\u3089\u304b\u3089<i class=\"st-fa st-svg-after st-svg-chevron-right st-css-no\" aria-hidden=\"\"><\/i><\/a><\/p>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>SNOPT: \u5305\u62ec\u7684\u6982\u8981 SNOPT\u3068\u306f\u4f55\u3067\u3059\u304b\uff1f SNOPT\uff08Sparse Nonlinear OPTimizer\uff1a\u758e\u975e\u7dda\u5f62\u6700\u9069\u5316\u30bd\u30eb\u30d0\u30fc\uff09\u306f\u3001\u5927\u898f\u6a21\u6700\u9069\u5316\u554f\u984c\uff08\u7dda\u5f62\u304a\u3088\u3073\u975e\u7dda\u5f62\u30d7\u30ed\u30b0\u30e9\u30e0\uff09\u3092\u89e3\u304f\u305f &#8230; <\/p>\n","protected":false},"author":3,"featured_media":4156,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","footnotes":""},"categories":[665],"tags":[687,682,686,685,683,54,684],"class_list":["post-4149","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-stanford-business-software","tag-sqp","tag-stanford-business-software","tag-686","tag-685","tag-683","tag-54","tag-684"],"_links":{"self":[{"href":"https:\/\/www.altech-ads.com\/blog\/wp-json\/wp\/v2\/posts\/4149","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.altech-ads.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.altech-ads.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.altech-ads.com\/blog\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.altech-ads.com\/blog\/wp-json\/wp\/v2\/comments?post=4149"}],"version-history":[{"count":5,"href":"https:\/\/www.altech-ads.com\/blog\/wp-json\/wp\/v2\/posts\/4149\/revisions"}],"predecessor-version":[{"id":4160,"href":"https:\/\/www.altech-ads.com\/blog\/wp-json\/wp\/v2\/posts\/4149\/revisions\/4160"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.altech-ads.com\/blog\/wp-json\/wp\/v2\/media\/4156"}],"wp:attachment":[{"href":"https:\/\/www.altech-ads.com\/blog\/wp-json\/wp\/v2\/media?parent=4149"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.altech-ads.com\/blog\/wp-json\/wp\/v2\/categories?post=4149"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.altech-ads.com\/blog\/wp-json\/wp\/v2\/tags?post=4149"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}