{"id":17509,"date":"2022-02-07T01:45:24","date_gmt":"2022-02-06T17:45:24","guid":{"rendered":"http:\/\/www.jdcui.com\/?p=17509"},"modified":"2026-02-16T18:11:38","modified_gmt":"2026-02-16T10:11:38","slug":"%e7%ac%94%e8%ae%b0%e6%99%ba%e8%83%bd%e7%ae%97%e6%b3%95%e5%87%a0%e4%b8%aa%e7%bb%8f%e5%85%b8%e7%9a%84pso-bechmark%e5%87%bd%e6%95%b0-bechmark-function-for-pso","status":"publish","type":"post","link":"http:\/\/www.jdcui.com\/?p=17509","title":{"rendered":"[\u667a\u80fd\u7b97\u6cd5]\u51e0\u4e2a\u7ecf\u5178\u7684PSO\u7c92\u5b50\u7fa4\u4f18\u5316\u7b97\u6cd5\u6d4b\u8bd5\u51fd\u6570 (Benchmark function for PSO)"},"content":{"rendered":"<p><span style=\"color: #ff00ff; background-color: #ccffcc;\"><strong>\u5b9e\u5e72\u3001\u5b9e\u8df5\u3001\u79ef\u7d2f\u3001\u601d\u8003\uff0c\u521b\u65b0\u3002<\/strong><\/span><\/p>\n<hr \/>\n<p>\u6700\u8fd1\u7814\u7a76\u4e86\u4e00\u4e0b\u7c92\u5b50\u7fa4\u7b97\u6cd5\uff0c\u4e0a\u4e00\u7bc7\u535a\u6587\u300a\u00a0<strong><a title=\"[\u7f16\u7a0b\u8bad\u7ec3][\u8f6f\u4ef6] \u7c92\u5b50\u7fa4\u4f18\u5316\u7b97\u6cd5\u6c42\u89e3\u65e0\u7ea6\u675f\u6700\u4f18\u5316\u95ee\u9898 [Particle Swarm Optimization Algorithm for Solving Unconstrained Optimization Problems]\" href=\"http:\/\/www.jdcui.com\/?p=17499\" target=\"_blank\" rel=\"noopener\">[\u7f16\u7a0b\u8bad\u7ec3][\u8f6f\u4ef6] \u7c92\u5b50\u7fa4\u4f18\u5316\u7b97\u6cd5\u6c42\u89e3\u65e0\u7ea6\u675f\u6700\u4f18\u5316\u95ee\u9898 [Particle Swarm Optimization Algorithm for Solving Unconstrained Optimization Problems]<\/a> <\/strong>\u300b\u8fdb\u884c\u4e86\u7f16\u7a0b\u5b9e\u73b0\u3002\u518d\u6d4b\u8bd5\u8fc7\u7a0b\u4e2d\u7528\u4e86\u51e0\u4e2aBenchmark\u51fd\u6570\uff0c\u90fd\u662f\u4e00\u4e9b\u590d\u6742\u7684\u9ad8\u7eac\u51fd\u6570\uff0c\u901a\u5e38\u6709\u975e\u5e38\u591a\u7684\u5c40\u90e8\u6ce2\u5cf0\uff0c\u7528\u6765\u6d4b\u8bd5\u7b97\u6cd5\u7684\u5168\u5c40\u6700\u4f18\u641c\u7d22\u80fd\u529b\u3002\u8fd9\u4e9b\u51fd\u6570\u90fd\u6bd4\u8f83\u6f02\u4eae\uff0c\u622a\u51e0\u4e2a\u56fe\u6b23\u8d4f\u4e00\u4e0b\u3002<\/p>\n<p><span style=\"background-color: #00ffff;\"><strong>0: Sphere<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17530\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Shpere_3D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Shpere_3D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Shpere_3D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17529\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Shpere_2D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Shpere_2D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Shpere_2D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/p>\n<p><span style=\"background-color: #00ffff;\"><strong>1: Eggcrate<\/strong><\/span><\/p>\n<p><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\"><strong><span style=\"color: #333333;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17518\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Eggcrate_3D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Eggcrate_3D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Eggcrate_3D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/span><\/strong><\/a><\/p>\n<p><strong><span style=\"color: #333333;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17517\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Eggcrate_2D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Eggcrate_2D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Eggcrate_2D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/span><\/strong><\/p>\n<p><span style=\"background-color: #00ffff;\"><strong>2: Rosenbrock<\/strong><\/span><\/p>\n<p><strong><span style=\"color: #333333;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17524\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Rosenbrock_3D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Rosenbrock_3D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Rosenbrock_3D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/span><\/strong><strong><span style=\"color: #333333;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17523\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Rosenbrock_2D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Rosenbrock_2D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Rosenbrock_2D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/span><\/strong><\/p>\n<p><span style=\"background-color: #00ffff;\"><strong>3: Ackley<\/strong><\/span><\/p>\n<p><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\"><strong><span style=\"color: #333333;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17514\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Ackley_3D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Ackley_3D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Ackley_3D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/span><\/strong><\/a><\/p>\n<p style=\"text-align: center;\"><strong><span style=\"color: #333333;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17513\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Ackley_2D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Ackley_2D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Ackley_2D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/span><\/strong><\/p>\n<p><span style=\"background-color: #00ffff;\"><strong>4: Schaffer<\/strong><\/span><\/p>\n<p><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\"><strong><span style=\"color: #333333;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17526\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Schaffer_3D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Schaffer_3D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Schaffer_3D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/span><\/strong><\/a><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17525\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Schaffer_2D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Schaffer_2D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Schaffer_2D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/p>\n<p><span style=\"background-color: #00ffff;\"><strong>5: Rastrigrin<\/strong><\/span><\/p>\n<p><strong><span style=\"color: #333333;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17522\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Rastrigrin_3D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Rastrigrin_3D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Rastrigrin_3D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/span><\/strong><\/p>\n<p><strong><span style=\"color: #333333;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17521\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Rastrigrin_2D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Rastrigrin_2D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Rastrigrin_2D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/span><\/strong><\/p>\n<p><strong><span style=\"color: #333333;\"> <span style=\"background-color: #00ffff;\">6: Cigar<\/span><\/span><\/strong><\/p>\n<p><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\"><strong><span style=\"color: #333333;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17516\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Cigar_3D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Cigar_3D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Cigar_3D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/span><\/strong><\/a><\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\"><strong><span style=\"color: #333333;\"> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17515\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Cigar_2D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Cigar_2D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Cigar_2D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/span><\/strong><\/a><\/p>\n<p style=\"text-align: left;\"><strong><span style=\"color: #333333;\"><span style=\"background-color: #00ffff;\">7: Griewangk<\/span><\/span><\/strong><\/p>\n<p style=\"text-align: left;\"><strong><span style=\"color: #333333;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17520\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Griewangk_3D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Griewangk_3D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Griewangk_3D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/span><\/strong><\/p>\n<p style=\"text-align: left;\"><strong><span style=\"color: #333333;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17519\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Griewangk_2D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Griewangk_2D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Griewangk_2D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><br \/>\n<span style=\"background-color: #00ffff;\">8: Schwefel<\/span><\/span><\/strong><\/p>\n<p style=\"text-align: left;\"><strong><span style=\"color: #333333;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17528\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Schwefel_3D.png\" alt=\"\" width=\"955\" height=\"913\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Schwefel_3D.png 955w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Schwefel_3D-768x734.png 768w\" sizes=\"auto, (max-width: 955px) 100vw, 955px\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-17527\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Schwefel_2D.png\" alt=\"\" width=\"965\" height=\"890\" srcset=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Schwefel_2D.png 965w, http:\/\/www.jdcui.com\/wp-content\/uploads\/2022\/02\/Schwefel_2D-768x708.png 768w\" sizes=\"auto, (max-width: 965px) 100vw, 965px\" \/><\/span><\/strong><\/p>\n<hr \/>\n<p style=\"padding-left: 30px; text-align: center;\"><strong><div  class=\"thumbs-rating-container\" id=\"thumbs-rating-17509\" data-content-id=\"17509\"><button class=\"thumbs-rating-up thumbs-rating-voted\" onclick=\"thumbs_rating_vote(17509, 1);\">Vote Up +4<\/button> <button class=\"thumbs-rating-down thumbs-rating-voted\" onclick=\"thumbs_rating_vote(17509, 2);\">Vote Down -1<\/button><span class=\"thumbs-rating-already-voted\">You already voted!<\/span><\/div><\/strong><\/p>\n<ul style=\"list-style-type: square;\">\n<li style=\"text-align: left;\"><strong>\u5fae\u4fe1\u516c\u4f17\u53f7\u00a0(<span style=\"color: #000080;\"> Wechat\u00a0Subscription)<\/span><\/strong><\/li>\n<\/ul>\n<p><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3636\" src=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\" alt=\"WeChat_QRCode\" width=\"250\" height=\"255\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/www.jdcui.com\/wp-content\/uploads\/2017\/01\/QRCODE.jpg\"><strong><span style=\"color: #333333;\">\u6b22\u8fce\u5173\u6ce8 <span style=\"color: #ff00ff;\">\u201c\u7ed3\u6784\u4e4b\u65c5\u201d\u00a0<\/span>\u5fae\u4fe1\u516c\u4f17\u53f7<\/span><\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5b9e\u5e72\u3001\u5b9e\u8df5\u3001\u79ef\u7d2f\u3001\u601d\u8003\uff0c\u521b\u65b0\u3002 \u6700\u8fd1\u7814\u7a76\u4e86\u4e00\u4e0b\u7c92\u5b50\u7fa4\u7b97\u6cd5\uff0c\u4e0a\u4e00\u7bc7\u535a\u6587\u300a\u00a0[\u7f16\u7a0b\u8bad\u7ec3][\u8f6f\u4ef6] \u7c92\u5b50\u7fa4\u4f18\u5316\u7b97\u6cd5\u6c42\u89e3\u65e0\u7ea6\u675f\u6700\u4f18\u5316\u95ee\u9898 [Particle Swarm Optimization Algorithm for Solving Unconstrained Optimization Problems] \u300b\u8fdb\u884c\u4e86\u7f16\u7a0b\u5b9e\u73b0\u3002\u518d\u6d4b\u8bd5\u8fc7\u7a0b\u4e2d\u7528\u4e86\u51e0\u4e2aBenchmark\u51fd\u6570\uff0c\u90fd\u662f\u4e00\u4e9b\u590d\u6742\u7684\u9ad8\u7eac\u51fd\u6570\uff0c\u901a\u5e38\u6709\u975e\u5e38\u591a\u7684\u5c40\u90e8\u6ce2\u5cf0\uff0c\u7528\u6765\u6d4b\u8bd5\u7b97\u6cd5\u7684\u5168\u5c40\u6700\u4f18\u641c\u7d22\u80fd\u529b\u3002\u8fd9\u4e9b\u51fd\u6570\u90fd\u6bd4\u8f83\u6f02\u4eae\uff0c\u622a\u51e0\u4e2a\u56fe\u6b23\u8d4f\u4e00\u4e0b\u3002 0: Sphere 1: Eggcrate 2: Rosenbrock 3: Ackley 4: Schaffer 5: Rastrigrin 6: Cigar 7: Griewangk 8: &#8230;<\/p>\n","protected":false},"author":1,"featured_media":17532,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1476],"tags":[3265,3266,3272,3268,3273,3258,3257,3271,3267,3274,3269,3263,3259,3264],"class_list":["post-17509","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-algorithm-","tag-benchmark","tag-benchmark-function","tag-cigar","tag-eggcrate","tag-griewangk","tag-particle-swarm-optimization","tag-pso","tag-rastrigrin","tag-rosenbrock","tag-schwefel","tag-sphere","tag-3263","tag-3259","tag-3264"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"CJD\"\/>\n\t<meta name=\"keywords\" content=\"benchmark,benchmark function,cigar,eggcrate,griewangk,particle swarm 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