{"id":48065,"date":"2025-04-27T17:38:00","date_gmt":"2025-04-27T14:08:00","guid":{"rendered":"https:\/\/quera.org\/blog\/?p=48065"},"modified":"2025-04-27T18:53:03","modified_gmt":"2025-04-27T15:23:03","slug":"genetic-algorithm-in-python","status":"publish","type":"post","link":"https:\/\/quera.org\/blog\/genetic-algorithm-in-python\/","title":{"rendered":"\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0686\u06cc\u0633\u062a \u0648 \u0686\u0637\u0648\u0631 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f\u061f"},"content":{"rendered":"\n<p>\u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc (Optimization Models) \u06cc\u06a9\u06cc \u0627\u0632 \u0628\u0647\u062a\u0631\u06cc\u0646 \u0627\u0628\u0632\u0627\u0631\u0647\u0627\u06cc \u062f\u0631 \u062f\u0633\u062a\u0631\u0633 \u0645\u062d\u0642\u0642\u0627\u0646 \u062f\u0627\u062f\u0647 \u06cc\u0627 \u062f\u06cc\u062a\u0627 \u0633\u0627\u06cc\u0646\u062a\u06cc\u0633\u062a\u200c\u0647\u0627 \u0627\u0633\u062a \u06a9\u0647 \u0627\u0632 \u0622\u0646\u200c\u0647\u0627 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u06af\u0648\u0646\u0627\u06af\u0648\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u0627\u0632 \u0645\u0633\u0627\u0626\u0644 \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0628\u0647\u0631\u0647\u200c\u0648\u0631\u06cc \u06af\u0631\u0641\u062a\u0647 \u062a\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u0628\u0647\u06cc\u0646\u0647\u200c\u062a\u0631\u06cc\u0646 \u0647\u0627\u06cc\u067e\u0631 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u062f\u0631 \u06cc\u06a9 \u0645\u062f\u0644. \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0642\u0635\u062f \u062f\u0627\u0631\u06cc\u0645 \u0628\u0647 \u0633\u0631\u0627\u063a \u06cc\u06a9\u06cc \u0627\u0632 \u0634\u0646\u0627\u062e\u062a\u0647\u200c\u0634\u062f\u0647\u200c\u062a\u0631\u06cc\u0646 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0628\u0631\u0648\u06cc\u0645: <strong>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0698\u0646\u062a\u06cc\u06a9<\/strong>. <\/p>\n\n\n\n<p>\u0627\u0632 \u0627\u0633\u0645 \u00ab<strong>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9<\/strong>\u00bb \u0627\u062d\u062a\u0645\u0627\u0644\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u062d\u062f\u0633 \u0628\u0632\u0646\u06cc\u062f \u06a9\u0647 \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0686\u0637\u0648\u0631 \u06a9\u0627\u0631 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0628\u0644\u0647\u060c \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0698\u0646\u062a\u06cc\u06a9 \u0628\u0631 \u067e\u0627\u06cc\u0647\u200c\u06cc \u0627\u06cc\u062f\u0647\u200c\u0647\u0627\u06cc \u0627\u0646\u062a\u062e\u0627\u0628 \u0637\u0628\u06cc\u0639\u06cc \u0648 \u0698\u0646\u062a\u06cc\u06a9 \u0633\u0627\u062e\u062a\u0647 \u0634\u062f\u0647\u200c\u0627\u0646\u062f. \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0645\u0639\u0645\u0648\u0644\u0627 \u0628\u0631\u0627\u06cc \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627\u06cc \u0628\u0627\u06a9\u06cc\u0641\u06cc\u062a \u062f\u0631 \u0645\u0633\u0627\u0626\u0644 \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0648 \u062c\u0633\u062a\u062c\u0648 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/p>\n\n\n\n<p>\u0628\u0627 \u06a9\u0648\u0626\u0631\u0627 \u0628\u0644\u0627\u06af \u0647\u0645\u0631\u0627\u0647 \u0628\u0627\u0634\u06cc\u062f \u062a\u0627 \u0628\u06af\u0648\u06cc\u06cc\u0645 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u0686\u06cc\u0633\u062a \u0648 \u0633\u067e\u0633 \u0646\u062d\u0648\u0647 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0631\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u0642\u062f\u0645\u200c\u0628\u0647\u200c\u0642\u062f\u0645 \u06cc\u0627\u062f \u0628\u06af\u06cc\u0631\u06cc\u0645. <\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u0627\u06af\u0631 \u0646\u06cc\u0627\u0632 \u0628\u0647 \u0622\u0634\u0646\u0627\u06cc\u06cc \u0627\u0648\u0644\u06cc\u0647 \u0628\u0627 \u0632\u0628\u0627\u0646 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0648 \u06a9\u0633\u0628 \u0645\u0647\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u062f\u0631\u0622\u0645\u062f\u0632\u0627 \u062f\u0627\u0631\u06cc\u062f\u060c \u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645 \u0628\u0627 \u0634\u0631\u06a9\u062a \u062f\u0631 <strong>\u062f\u0648\u0631\u0647 <a href=\"https:\/\/quera.org\/college\/landpage\/python\">\u0622\u0645\u0648\u0632\u0634 \u067e\u0627\u06cc\u062a\u0648\u0646<\/a> \u06a9\u0648\u0626\u0631\u0627 \u06a9\u0627\u0644\u062c<\/strong>\u060c \u062a\u0633\u0644\u0637\u06cc \u06a9\u0627\u0645\u0644 \u0628\u0631 \u0627\u06cc\u0646 \u0632\u0628\u0627\u0646 \u0645\u062d\u0628\u0648\u0628 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f.<\/p>\n<\/blockquote>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter-rtl ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">\u0641\u0647\u0631\u0633\u062a \u0645\u0637\u0627\u0644\u0628<\/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:\/\/quera.org\/blog\/genetic-algorithm-in-python\/#%D8%A7%D9%84%DA%AF%D9%88%D8%B1%DB%8C%D8%AA%D9%85%E2%80%8C%D9%87%D8%A7%DB%8C_%DA%98%D9%86%D8%AA%DB%8C%DA%A9_%D9%88_%D9%85%D8%AF%D9%84%E2%80%8C%D9%87%D8%A7%DB%8C_%D8%A8%D9%87%DB%8C%D9%86%D9%87%E2%80%8C%D8%B3%D8%A7%D8%B2%DB%8C\" >\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0698\u0646\u062a\u06cc\u06a9 \u0648 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/quera.org\/blog\/genetic-algorithm-in-python\/#%DA%A9%D8%A7%D8%B1%DA%A9%D8%B1%D8%AF_%D8%A7%D9%84%DA%AF%D9%88%D8%B1%DB%8C%D8%AA%D9%85_%DA%98%D9%86%D8%AA%DB%8C%DA%A9\" >\u06a9\u0627\u0631\u06a9\u0631\u062f \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/quera.org\/blog\/genetic-algorithm-in-python\/#%DA%A9%D8%A7%D8%B1_%D8%A8%D8%A7_%D8%A7%D9%84%DA%AF%D9%88%D8%B1%DB%8C%D8%AA%D9%85_%DA%98%D9%86%D8%AA%DB%8C%DA%A9_%D8%AF%D8%B1_%D9%BE%D8%A7%DB%8C%D8%AA%D9%88%D9%86\" >\u06a9\u0627\u0631 \u0628\u0627 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/quera.org\/blog\/genetic-algorithm-in-python\/#%D9%85%D8%B3%D8%A7%D8%A6%D9%84_%D8%A8%D9%87%DB%8C%D9%86%D9%87%E2%80%8C%D8%B3%D8%A7%D8%B2%DB%8C_%D8%A8%D8%A7_%D8%A7%D9%84%DA%AF%D9%88%D8%B1%DB%8C%D8%AA%D9%85_%DA%98%D9%86%D8%AA%DB%8C%DA%A9_%D8%AF%D8%B1_%D9%BE%D8%A7%DB%8C%D8%AA%D9%88%D9%86\" >\u0645\u0633\u0627\u0626\u0644 \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0628\u0627 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/quera.org\/blog\/genetic-algorithm-in-python\/#%D8%A8%D8%B1%D9%86%D8%A7%D9%85%D9%87%E2%80%8C%D9%86%D9%88%DB%8C%D8%B3%DB%8C_%D8%A7%D9%84%DA%AF%D9%88%D8%B1%DB%8C%D8%AA%D9%85_%DA%98%D9%86%D8%AA%DB%8C%DA%A9_%D8%AF%D8%B1_%D9%BE%D8%A7%DB%8C%D8%AA%D9%88%D9%86\" >\u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0646\u0648\u06cc\u0633\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/quera.org\/blog\/genetic-algorithm-in-python\/#%D8%AC%D9%85%D8%B9%E2%80%8C%D8%A8%D9%86%D8%AF%DB%8C_%D8%A7%D9%84%DA%AF%D9%88%D8%B1%DB%8C%D8%AA%D9%85_%DA%98%D9%86%D8%AA%DB%8C%DA%A9_%D8%AF%D8%B1_%D9%BE%D8%A7%DB%8C%D8%AA%D9%88%D9%86\" >\u062c\u0645\u0639\u200c\u0628\u0646\u062f\u06cc  \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" style=\"font-size:20px\"><span class=\"ez-toc-section\" id=\"%D8%A7%D9%84%DA%AF%D9%88%D8%B1%DB%8C%D8%AA%D9%85%E2%80%8C%D9%87%D8%A7%DB%8C_%DA%98%D9%86%D8%AA%DB%8C%DA%A9_%D9%88_%D9%85%D8%AF%D9%84%E2%80%8C%D9%87%D8%A7%DB%8C_%D8%A8%D9%87%DB%8C%D9%86%D9%87%E2%80%8C%D8%B3%D8%A7%D8%B2%DB%8C\"><\/span>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0698\u0646\u062a\u06cc\u06a9 \u0648 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/genetics-2-1-1024x683.png\" alt=\"\" class=\"wp-image-48472\" srcset=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/genetics-2-1-1024x683.png 1024w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/genetics-2-1-300x200.png 300w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/genetics-2-1-768x512.png 768w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/genetics-2-1.png 1536w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u0646\u0648\u0639\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 <strong>\u062c\u0645\u0639\u06cc\u062a\u06cc (Population-Based)<\/strong> \u0648 <strong>\u062a\u0635\u0627\u062f\u0641\u06cc (Stochastic)<\/strong> \u0627\u0633\u062a. \u0627\u0645\u0627 \u0627\u06cc\u0646 \u062f\u0642\u06cc\u0642\u0627 \u06cc\u0639\u0646\u06cc \u0686\u0647\u061f \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0631\u0627\u062c\u0639 \u0628\u0647 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0635\u062d\u0628\u062a \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0622\u0646\u200c\u0647\u0627 \u0631\u0627 \u0627\u0632 \u0644\u062d\u0627\u0638 \u0646\u062d\u0648\u0647 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u062c\u0633\u062a\u062c\u0648 \u062f\u0631 \u062f\u0633\u062a\u0647\u200c\u0628\u0646\u062f\u06cc\u200c\u0647\u0627\u06cc \u0632\u06cc\u0631 \u0642\u0631\u0627\u0631 \u062f\u0647\u06cc\u0645:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u062c\u0633\u062a\u062c\u0648\u06cc \u06a9\u0648\u0631 (Blind Search)<\/strong>: \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0648\u06cc\u0647\u060c \u062a\u0645\u0627\u0645 \u06af\u0632\u06cc\u0646\u0647\u200c\u0647\u0627\u06cc \u0627\u062d\u062a\u0645\u0627\u0644\u06cc \u0628\u0647 \u0634\u06a9\u0644\u06cc \u06af\u0633\u062a\u0631\u062f\u0647 \u062c\u0633\u062a\u062c\u0648 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f \u0648 \u0645\u0647\u0645 \u0646\u06cc\u0633\u062a \u06a9\u0647 \u067e\u06cc\u0634 \u0627\u0632 \u0627\u06cc\u0646 \u0686\u0647 \u0646\u062a\u0627\u06cc\u062c\u06cc \u0628\u0647 \u062f\u0633\u062a \u0622\u0648\u0631\u062f\u0647\u200c\u0627\u06cc\u0645.<\/li>\n\n\n\n<li><strong>\u062c\u0633\u062a\u062c\u0648\u06cc \u0647\u062f\u0627\u06cc\u062a\u200c\u0634\u062f\u0647 (Guided Search)<\/strong>: \u062f\u0631 \u0627\u06cc\u0646 \u062a\u06a9\u0646\u06cc\u06a9\u060c \u0627\u0632 \u0646\u062a\u0627\u06cc\u062c \u0642\u0628\u0644\u06cc \u0628\u0631\u0627\u06cc \u0647\u062f\u0627\u06cc\u062a \u0645\u062f\u0644 \u0628\u0647 \u062c\u0633\u062a\u062c\u0648 \u0646\u062a\u0627\u06cc\u062c \u0645\u0634\u0627\u0628\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u0648 \u0628\u0647 \u0635\u0648\u0631\u062a \u06a9\u0644\u06cc \u062f\u0648 \u0646\u0648\u0639 \u062c\u0633\u062a\u062c\u0648 \u0647\u062f\u0627\u06cc\u062a\u200c\u0634\u062f\u0647 \u062f\u0627\u0631\u06cc\u0645:\n<ul class=\"wp-block-list\">\n<li><strong>\u062c\u0633\u062a\u062c\u0648\u06cc \u062a\u06a9\u200c\u062d\u0627\u0644\u062a (Single State Search)<\/strong>: \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631\u06cc \u0645\u0634\u0627\u0628\u0647 \u0628\u0647 \u0631\u0627\u0647\u06a9\u0627\u0631 \u0646\u062e\u0633\u062a \u0628\u0631\u0627\u06cc \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u0646\u062a\u0627\u06cc\u062c \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u062f\u0631 \u0635\u0648\u0631\u062a\u06cc \u06a9\u0647 \u0627\u0646\u062f\u06a9\u06cc \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062f\u0631 \u06a9\u0627\u0631 \u0628\u0627\u0634\u062f\u060c \u0627\u06cc\u0646 \u062a\u0627\u0628\u0639 \u0634\u06a9\u0644\u06cc \u0647\u0645\u06af\u0631\u0627 \u067e\u06cc\u062f\u0627 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/li>\n\n\n\n<li><strong>\u062c\u0633\u062a\u062c\u0648\u06cc \u062c\u0645\u0639\u06cc\u062a\u06cc (Population-Based Search)<\/strong>: \u062c\u0645\u0639\u06cc\u062a\u06cc \u0627\u0632 \u0631\u0627\u0647\u06a9\u0627\u0631\u0647\u0627 \u06a9\u0647 \u062f\u0627\u0626\u0645\u0627 \u062f\u0631 \u062d\u0627\u0644 \u0628\u0647\u0628\u0648\u062f \u0647\u0633\u062a\u0646\u062f. \u0627\u06af\u0631\u0686\u0647 \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0627\u0646\u062f\u06a9\u06cc \u0628\u06cc\u0634\u062a\u0631 \u0637\u0648\u0644 \u0645\u06cc\u200c\u06a9\u0634\u062f\u060c \u0627\u0645\u0627 \u0645\u0639\u0645\u0648\u0644\u0627 \u062f\u0631 \u0631\u0633\u06cc\u062f\u06af\u06cc \u0628\u0647 \u0645\u0633\u0627\u0626\u0644 \u0631\u0627\u06cc\u062c\u060c \u0646\u062a\u0627\u06cc\u062c \u0628\u0647\u062a\u0631\u06cc \u0646\u0633\u0628\u062a \u0628\u0647 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u062c\u0633\u062a\u062c\u0648 \u0647\u062f\u0627\u06cc\u062a\u200c\u0634\u062f\u0647 \u0628\u0647 \u0646\u0645\u0627\u06cc\u0634 \u0645\u06cc\u200c\u06af\u0630\u0627\u0631\u062f. <\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/\u062c\u0633\u062a\u062c\u0648\u06cc-\u06a9\u0648\u0631-1-1024x683.png\" alt=\"\" class=\"wp-image-48479\" srcset=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/\u062c\u0633\u062a\u062c\u0648\u06cc-\u06a9\u0648\u0631-1-1024x683.png 1024w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/\u062c\u0633\u062a\u062c\u0648\u06cc-\u06a9\u0648\u0631-1-300x200.png 300w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/\u062c\u0633\u062a\u062c\u0648\u06cc-\u06a9\u0648\u0631-1-768x512.png 768w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/\u062c\u0633\u062a\u062c\u0648\u06cc-\u06a9\u0648\u0631-1.png 1536w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>\u062c\u0628\u0631\u06cc \u0628\u0648\u062f\u0646 \u06cc\u0627 \u062a\u0635\u0627\u062f\u0641\u06cc \u0628\u0648\u062f\u0646 \u062c\u0633\u062a\u062c\u0648<\/strong><\/p>\n\n\n\n<p>\u062c\u0633\u062a\u062c\u0648\u0647\u0627\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u06cc\u0627 Stochastic \u0628\u0647 \u0634\u06a9\u0644\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u0648 \u0627\u062a\u0641\u0627\u0642\u06cc \u0628\u0647 \u0627\u062c\u0631\u0627 \u062f\u0631\u0645\u06cc\u200c\u0622\u06cc\u0646\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0627\u06af\u0631 \u0641\u0631\u0627\u06cc\u0646\u062f \u0631\u0627 \u062f\u0648 \u0628\u0627\u0631 \u0631\u0648\u06cc \u062f\u0627\u062f\u0647\u200c\u0627\u06cc \u06cc\u06a9\u0633\u0627\u0646 \u062a\u06a9\u0631\u0627\u0631 \u06a9\u0646\u06cc\u062f \u0628\u0647 \u0646\u062a\u0627\u06cc\u062c \u0645\u062a\u0641\u0627\u0648\u062a \u0645\u06cc\u200c\u0631\u0633\u06cc\u062f. \u0627\u0645\u0627 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u062c\u0628\u0631\u06cc \u06cc\u0627 Deterministic \u0647\u0645\u0648\u0627\u0631\u0647 \u0646\u062a\u0627\u06cc\u062c\u06cc \u06cc\u06a9\u0633\u0627\u0646 \u0628\u0631\u0645\u06cc\u200c\u06af\u0631\u062f\u0627\u0646\u0646\u062f.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/\u067e\u06cc\u0634_\u0628\u06cc\u0646\u06cc.png\" alt=\"\u062c\u0628\u0631\u06cc \u0628\u0648\u062f\u0646 \u06cc\u0627 \u062a\u0635\u0627\u062f\u0641\u06cc \u0628\u0648\u062f\u0646 \u062c\u0633\u062a\u062c\u0648\" class=\"wp-image-48480\" srcset=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/\u067e\u06cc\u0634_\u0628\u06cc\u0646\u06cc.png 1024w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/\u067e\u06cc\u0634_\u0628\u06cc\u0646\u06cc-300x200.png 300w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/\u067e\u06cc\u0634_\u0628\u06cc\u0646\u06cc-768x512.png 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0627\u0632 <strong>\u062c\u0633\u062a\u062c\u0648\u06cc \u062c\u0645\u0639\u06cc\u062a\u06cc <\/strong>\u0648 <strong>\u062a\u0635\u0627\u062f\u0641\u06cc<\/strong> \u06a9\u0645\u06a9 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f. \u0627\u0645\u0627 \u0631\u0648\u0634 \u06a9\u0627\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0686\u06cc\u0633\u062a \u0648 \u0686\u0631\u0627 \u0686\u0646\u06cc\u0646 \u0631\u0648\u06cc\u0647\u200c\u0627\u06cc \u0631\u0627 \u062f\u0646\u0628\u0627\u0644 \u0645\u06cc\u200c\u06a9\u0646\u062f\u061f<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:20px\"><span class=\"ez-toc-section\" id=\"%DA%A9%D8%A7%D8%B1%DA%A9%D8%B1%D8%AF_%D8%A7%D9%84%DA%AF%D9%88%D8%B1%DB%8C%D8%AA%D9%85_%DA%98%D9%86%D8%AA%DB%8C%DA%A9\"><\/span>\u06a9\u0627\u0631\u06a9\u0631\u062f \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u0628\u0647 \u0627\u06cc\u0646 \u062e\u0627\u0637\u0631 \u0686\u0646\u06cc\u0646 \u0646\u0627\u0645\u06cc \u06af\u0631\u0641\u062a\u0647 \u06a9\u0647 \u0631\u0641\u062a\u0627\u0631 \u0637\u0628\u06cc\u0639\u062a \u0631\u0627 \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f. \u062f\u0631\u0633\u062a \u0647\u0645\u0627\u0646\u200c\u0637\u0648\u0631 \u06a9\u0647 \u0639\u0644\u062a \u0646\u0627\u0645\u200c\u06af\u0630\u0627\u0631\u06cc \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u0639\u0635\u0628\u06cc (Neural Network)\u060c \u0634\u0628\u0627\u0647\u062a \u0622\u0646\u200c\u0647\u0627 \u0628\u0647 \u0646\u0648\u0631\u0648\u0646\u200c\u0647\u0627 \u06cc\u0627 \u0639\u0635\u0628\u200c\u0647\u0627\u06cc \u0645\u0648\u062c\u0648\u062f\u0627\u062a \u0632\u0646\u062f\u0647 \u0627\u0633\u062a. <\/p>\n\n\n\n<p>\u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u06a9\u0627\u0646\u062f\u06cc\u062f\u0627\u0647\u0627\u06cc \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0698\u0646\u062a\u06cc\u06a9\u060c \u00ab\u0634\u062e\u0635\u00bb (Individual) \u0646\u0627\u0645 \u062f\u0627\u0631\u0646\u062f. \u0639\u0628\u0627\u0631\u0627\u062a \u0698\u0646\u0648\u062a\u06cc\u067e (Genotype)\u060c \u0698\u0646\u0648\u0645 (Genome) \u06cc\u0627 \u06a9\u0631\u0648\u0645\u0648\u0632\u0648\u0645 (Chromosome) \u0647\u0645 \u0646\u0634\u0627\u0646\u200c\u062f\u0647\u0646\u062f\u0647 \u0633\u0627\u062e\u062a\u0645\u0627\u0646 \u062f\u0627\u062f\u0647 \u062f\u0631 \u0647\u0631 \u0634\u062e\u0635 \u0647\u0633\u062a\u0646\u0646\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0645\u06cc\u0627\u0646\u060c \u00ab\u0698\u0646\u00bb (Gene) \u0628\u0647 \u0647\u0631 \u0646\u0642\u0637\u0647\u200c\u0627\u06cc \u0627\u0632 \u0647\u0645\u0627\u0646 \u0633\u0627\u062e\u062a\u0645\u0627\u0646 \u062f\u0627\u062f\u0647 \u06af\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u0648 \u0628\u0644\u0648\u06a9\u200c\u0647\u0627\u06cc \u062f\u0627\u062f\u0647 \u0646\u06cc\u0632 \u00ab\u0622\u0644\u0644\u00bb (Allele) \u0646\u0627\u0645 \u062f\u0627\u0631\u0646\u062f. <\/p>\n\n\n\n<p>\u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0628\u0627 \u0645\u062c\u0645\u0648\u0639\u0647\u200c\u0627\u06cc \u0627\u0632 \u0627\u0634\u062e\u0627\u0635 \u0634\u0631\u0648\u0639 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u0647\u0631\u06a9\u062f\u0627\u0645 \u0645\u0642\u0627\u062f\u06cc\u0631 \u06af\u0648\u0646\u0627\u06af\u0648\u0646\u06cc \u0622\u0644\u0644 \u06cc\u0627 \u062f\u0627\u062f\u0647 \u062f\u0627\u0631\u0646\u062f. \u0627\u0644\u0628\u062a\u0647 \u06a9\u0647 \u062a\u0645\u0627\u0645 \u0627\u0634\u062e\u0627\u0635 \u0639\u0645\u0644\u06a9\u0631\u062f\u06cc \u0628\u0647 \u06cc\u06a9 \u0627\u0646\u062f\u0627\u0632\u0647 \u062e\u0648\u0628 \u062f\u0631 \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0647\u062f\u0641 \u0645\u0627 \u0646\u062f\u0627\u0631\u0646\u062f (\u062f\u0631\u0633\u062a \u0647\u0645\u0627\u0646\u200c\u0637\u0648\u0631 \u06a9\u0647 \u062a\u0645\u0627\u0645 \u0627\u0646\u0633\u0627\u0646\u200c\u0647\u0627 \u0646\u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u0646\u062f \u0628\u0647 \u0634\u06a9\u0644\u06cc \u0628\u0631\u0627\u0628\u0631 \u0628\u0627 \u0645\u062d\u06cc\u0637 \u062e\u0648\u062f \u062a\u0637\u0628\u06cc\u0642 \u06cc\u0627\u0628\u0646\u062f). \u062f\u0631 \u0646\u062a\u06cc\u062c\u0647\u060c \u0647\u0631 \u0634\u062e\u0635 \u06a9\u0647 \u0646\u0645\u0627\u06cc\u0646\u062f\u0647\u200c\u06cc \u06cc\u06a9 \u0646\u0645\u0648\u0646\u0647 \u0627\u0632 \u0641\u0636\u0627\u06cc \u0645\u0633\u0626\u0644\u0647\u200c\u06cc \u0648\u0627\u0642\u0639\u06cc \u0628\u0647 \u0646\u0627\u0645 \u00ab\u0641\u0646\u0648\u062a\u06cc\u067e\u00bb (Phenotype) \u0627\u0633\u062a \u062a\u0648\u0633\u0637 \u062a\u0627\u0628\u0639 \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u06cc\u0627 \u0647\u062f\u0641 \u06cc\u0627 \u00ab\u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc\u00bb (Fitness) \u0645\u0648\u0631\u062f \u0633\u0646\u062c\u0634 \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f. <\/p>\n\n\n\n<p>\u0628\u0631\u0627\u06cc \u062a\u0648\u0636\u06cc\u062d \u0628\u0627\u06cc\u062f \u06af\u0641\u062a \u0641\u0646\u0648\u062a\u06cc\u067e \u0628\u0647 \u0645\u0639\u0646\u06cc \u0641\u0636\u0627 \u0648\u0627\u0642\u0639\u06cc \u0645\u0633\u0627\u0644\u0647 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0647 \u0622\u0646 \u00ab\u0633\u0646\u062e\u200c\u06af\u0648\u0646\u0647\u00bb \u0647\u0645 \u0645\u06cc\u200c\u06af\u0648\u06cc\u0646\u062f. \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644 \u0641\u0631\u0636 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0628\u0647 \u062f\u0646\u0628\u0627\u0644 \u0637\u0631\u0627\u062d\u06cc \u06cc\u06a9 \u0645\u06cc\u0632 \u0647\u0633\u062a\u06cc\u0645. \u0627\u06af\u0631 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0645\u06cc\u0632 \u0631\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u0698\u0646 \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u0645\u060c \u062a\u0645\u0627\u0645 \u06a9\u0631\u0648\u0645\u0648\u0632\u0645\u200c\u0647\u0627\u06cc \u0628\u0627\u0644\u0642\u0648\u0647\u060c \u0641\u0636\u0627\u06cc Genotype \u0628\u0647 \u062d\u0633\u0627\u0628 \u0645\u06cc\u200c\u0622\u06cc\u0646\u062f \u0648 \u062a\u0645\u0627\u0645 \u0641\u0636\u0627\u06cc \u0635\u0646\u062f\u0644\u06cc\u200c\u0647\u0627\u06cc \u0628\u0627\u0644\u0642\u0648\u0647 \u0647\u0645 Phenotype \u062a\u0644\u0642\u06cc \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. \u062a\u0627\u0628\u0639 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u06cc\u0627 Fitness \u0646\u06cc\u0632 \u0627\u0631\u0632\u0634\u06cc \u0645\u0634\u062e\u0635 \u0628\u0647 \u0647\u0631 \u0646\u0642\u0637\u0647 \u0627\u0632 \u0641\u0636\u0627 \u0641\u0646\u0648\u062a\u06cc\u067e \u062a\u062e\u0635\u06cc\u0635 \u0645\u06cc\u200c\u062f\u0647\u062f.<\/p>\n\n\n\n<p>\u0641\u0646\u0648\u062a\u0627\u06cc\u067e \u062f\u0631 \u062d\u0642\u06cc\u0642\u062a \u0641\u0636\u0627\u06cc \u0648\u0627\u0642\u0639\u06cc \u0645\u0633\u0626\u0644\u0647 \u0647\u0633\u062a. \u0645\u062b\u0644\u0627 \u0641\u0631\u0636 \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0645\u06cc\u200c\u062e\u0648\u0627\u0647\u06cc\u0645 \u06cc\u06a9 \u0645\u06cc\u0632 \u0637\u0631\u0627\u062d\u06cc \u06a9\u0646\u06cc\u0645\u060c \u0627\u06af\u0631 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u0698\u0646 \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u0645\u060c \u062a\u0645\u0627\u0645 \u06a9\u0631\u0648\u0645\u0648\u0632\u0645\u200c\u0647\u0627\u06cc \u0645\u0645\u06a9\u0646  \u0641\u0636\u0627\u06cc genotype \u0645\u06cc\u200c\u0634\u0648\u0646\u062f \u0648 \u0627\u0632 \u0637\u0631\u0641\u06cc \u06a9\u0644 \u0641\u0636\u0627\u06cc \u0635\u0646\u062f\u0644\u06cc\u200c\u0647\u0627\u06cc \u0645\u0645\u06a9\u0646 \u0631\u0627 phenotype \u0645\u06cc\u200c\u06af\u0648\u06cc\u06cc\u0645. \u062a\u0627\u0628\u0639 fitness \u0628\u0647 \u0647\u0631 \u0646\u0642\u0637\u0647 \u0627\u0632 \u0641\u0635\u0627\u06cc phenotype \u0627\u0631\u0632\u0634 \u0645\u062a\u0641\u0627\u0648\u062a\u06cc \u0645\u06cc\u200c\u062f\u0647\u062f.<\/p>\n\n\n\n<p>\u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0647\u0631 \u0634\u062e\u0635 \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u060c \u0641\u0631\u0627\u06cc\u0646\u062f \u0627\u0646\u062a\u062e\u0627\u0628 \u0634\u062e\u0635 \u0622\u063a\u0627\u0632 \u0645\u06cc\u200c\u0634\u0648\u062f (\u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0628\u06cc\u0634\u062a\u0631 \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0648\u0631\u062f \u0645\u06cc\u200c\u067e\u0631\u062f\u0627\u0632\u06cc\u0645). \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0627\u06cc\u062f\u0647 \u067e\u0634\u062a \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u0648\u0627\u0642\u0639\u0627 \u0633\u0627\u062f\u0647 \u0627\u0633\u062a: \u0645\u0627 \u0628\u0647 \u062f\u0646\u0628\u0627\u0644 \u0627\u0634\u062e\u0627\u0635\u06cc \u0645\u06cc\u200c\u06af\u0631\u062f\u06cc\u0645 \u06a9\u0647 \u0628\u0647\u062a\u0631\u06cc\u0646 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0631\u0627 \u0628\u0647 \u0646\u0645\u0627\u06cc\u0634 \u0645\u06cc\u200c\u06af\u0630\u0627\u0631\u0646\u062f.<\/p>\n\n\n\n<p>\u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0627\u0646\u062a\u062e\u0627\u0628 \u0628\u0647 \u067e\u0627\u06cc\u0627\u0646 \u0645\u06cc\u200c\u0631\u0633\u062f\u060c \u0622\u0645\u06cc\u0632\u0634 \u0627\u0634\u062e\u0627\u0635 \u0645\u0646\u062a\u062e\u0628 \u0628\u0647 \u062a\u0648\u0644\u06cc\u062f \u00ab\u0641\u0631\u0632\u0646\u062f\u00bb (Offspring) &#8211; \u06cc\u0627 \u0628\u0647 \u0639\u0628\u0627\u0631\u062a \u062f\u06cc\u06af\u0631\u060c \u062a\u0648\u0644\u06cc\u062f \u0627\u0634\u062e\u0627\u0635 \u0647\u0631\u0686\u0647 \u0628\u06cc\u0634\u062a\u0631 &#8211; \u0645\u0646\u062a\u0647\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0647 \u0627\u06cc\u0646 \u0641\u0631\u0627\u06cc\u0646\u062f \u00ab\u062a\u0648\u0644\u06cc\u062f \u0645\u062b\u0644\u00bb (Breeding) \u0645\u06cc\u200c\u06af\u0648\u06cc\u0646\u062f \u0648 \u062a\u0648\u0644\u06cc\u062f \u0627\u0634\u062e\u0627\u0635 \u062c\u062f\u06cc\u062f \u0646\u06cc\u0632 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u0698\u0646\u062a\u06cc\u06a9\u06cc \u06af\u0648\u0646\u0627\u06af\u0648\u0646 \u0645\u0627\u0646\u0646\u062f \u00ab\u062c\u0647\u0634\u00bb (Mutation) \u0648 \u00ab\u062a\u0642\u0627\u0637\u0639\u00bb (Crossover) \u06cc\u0627 \u00ab\u0628\u0627\u0632\u062a\u0631\u06a9\u06cc\u0628\u00bb (Recombination) \u0627\u0645\u06a9\u0627\u0646\u200c\u067e\u0630\u06cc\u0631 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/p>\n\n\n\n<p>\u0628\u0627\u0632\u062a\u0631\u06a9\u06cc\u0628 \u0628\u0647 \u0645\u0639\u0646\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0641\u0631\u0632\u0646\u062f\u0627\u0646\u06cc \u0627\u0632 \u0631\u0648\u06cc \u0686\u0646\u062f \u0648\u0627\u0644\u062f \u0627\u0633\u062a \u0648 \u062c\u0647\u0634 \u0628\u0647 \u0645\u0639\u0646\u06cc \u067e\u062f\u06cc\u062f \u0622\u0648\u0631\u062f\u0646 \u062a\u063a\u06cc\u06cc\u0631 \u062f\u0631 \u06cc\u06a9\u06cc \u0627\u0632 \u0627\u0634\u062e\u0627\u0635 \u06a9\u0646\u0648\u0646\u06cc.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u0628\u0631\u0627\u06cc \u0634\u0631\u0648\u0639 \u0628\u0647 \u0633\u0631\u0627\u063a \u0645\u062c\u0645\u0648\u0639\u0647\u200c\u0627\u06cc \u0627\u0632 \u0627\u0634\u062e\u0627\u0635 \u0628\u0627 \u0622\u0644\u0644 (\u0645\u0642\u062f\u0627\u0631) \u06af\u0648\u0646\u0627\u06af\u0648\u0646 \u0645\u06cc\u200c\u0631\u0648\u06cc\u0645. \u0627\u06cc\u0646 \u0627\u0634\u062e\u0627\u0635\u060c \u062c\u0645\u0639\u06cc\u062a \u06cc\u0627 Population \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0645\u0627 \u0628\u0647 \u062d\u0633\u0627\u0628 \u0645\u06cc\u200c\u0622\u06cc\u0646\u062f.<\/li>\n\n\n\n<li>\u0627\u0634\u062e\u0627\u0635 \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0645\u06cc\u200c\u0634\u0648\u0646\u062f \u062a\u0627 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0647\u0631 \u06cc\u06a9 \u0628\u0647 \u062f\u0633\u062a \u0622\u06cc\u062f.<\/li>\n\n\n\n<li>\u0633\u067e\u0633 \u062d\u0648\u0636\u0686\u0647\u200c\u0627\u06cc \u0627\u0632 \u0648\u0627\u0644\u062f\u06cc\u0646 \u0633\u0627\u062e\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u0627\u0632 \u0622\u0646\u200c\u0647\u0627 \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0641\u0631\u0632\u0646\u062f\u0627\u0646 \u06a9\u0645\u06a9 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/li>\n\n\n\n<li>\u0627\u06a9\u0646\u0648\u0646 \u0627\u0632 \u0631\u0648\u06cc \u062d\u0648\u0636\u0686\u0647\u200c \u0648\u0627\u0644\u062f\u06cc\u0646 \u0628\u0627 \u0627\u0639\u0645\u0627\u0644 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u0628\u0627\u0632\u062a\u0631\u06a9\u06cc\u0628 \u0648 \u062c\u0647\u0634 \u0641\u0631\u0632\u0646\u062f\u0627\u0646\u06cc \u062a\u0648\u0644\u06cc\u062f \u0645\u06cc\u200c\u0634\u0648\u062f \u0648 \u0645\u0648\u0631\u062f \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u0646\u062f.<\/li>\n\n\n\n<li>\u062f\u0631 \u06af\u0627\u0645 \u0628\u0639\u062f\u06cc \u0627\u06cc\u0646 \u0641\u0631\u0632\u0646\u062f\u0627\u0646 \u0628\u0627 \u0633\u06cc\u0627\u0633\u062a\u06cc \u062f\u0631 \u062c\u0645\u0639\u06cc\u062a \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/li>\n\n\n\n<li>\u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0628\u0647 \u0645\u0631\u062d\u0644\u0647 \u062f\u0648\u0645 \u0628\u0627\u0632\u0645\u06cc\u200c\u06af\u0631\u062f\u06cc\u0645 \u0648 \u0647\u0645\u06cc\u0646 \u0641\u0631\u0627\u06cc\u0646\u062f \u0631\u0627 \u0628\u0627 \u0641\u0631\u0632\u0646\u062f\u0627\u0646 \u062a\u06a9\u0631\u0627\u0631 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645. <\/li>\n<\/ul>\n\n\n\n<p>\u062d\u0627\u0644\u0627 \u06a9\u0647 \u06a9\u0627\u0631\u06a9\u0631\u062f \u06a9\u0644\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u0631\u0627 \u062f\u0631\u06a9 \u06a9\u0631\u062f\u0647\u200c\u0627\u06cc\u062f\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0628\u0647 \u0633\u0631\u0627\u063a \u0622\u0645\u0648\u0632\u0634 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0631\u0648\u06cc\u0645. \u0627\u0645\u0627 \u067e\u06cc\u0634 \u0627\u0632 \u0622\u0646 \u0641\u0642\u0637 \u0628\u0627\u06cc\u062f \u0628\u0647 \u062f\u0648 \u0633\u0648\u0627\u0644 \u0645\u0647\u0645 \u062f\u06cc\u06af\u0631 \u0646\u06cc\u0632 \u067e\u0627\u0633\u062e \u062f\u0647\u06cc\u0645: \u0627\u0634\u062e\u0627\u0635 \u0686\u0637\u0648\u0631 \u0627\u0646\u062a\u062e\u0627\u0628 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f \u0648 \u062a\u0648\u0644\u06cc\u062f \u0627\u0634\u062e\u0627\u0635 \u062c\u062f\u06cc\u062f \u0686\u0637\u0648\u0631 \u067e\u06cc\u0634 \u0645\u06cc\u200c\u0631\u0648\u062f\u061f<\/p>\n\n\n\n<div style=\"height:18px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" style=\"font-size:18px\">\u0686\u0637\u0648\u0631 \u0627\u0634\u062e\u0627\u0635 \u0631\u0627 \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0641\u0631\u0632\u0646\u062f \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u06cc\u0645\u061f<\/h3>\n\n\n\n<p>\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u06af\u0648\u0646\u0627\u06af\u0648\u0646\u06cc \u0628\u0631\u0627\u06cc \u0627\u0646\u062a\u062e\u0627\u0628 \u0627\u0634\u062e\u0627\u0635 \u062f\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u0631\u0648\u0634 \u0686\u0631\u062e \u06af\u0631\u062f\u0627\u0646 (Roulette Wheel)<\/strong>: \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0627\u0631\u062a\u0628\u0627\u0637\u06cc \u0645\u0633\u062a\u0642\u06cc\u0645 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0648 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u0646\u062a\u062e\u0627\u0628 \u0641\u0631\u062f \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0641\u0631\u0632\u0646\u062f \u0628\u0631\u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0648\u0627\u0642\u0639 \u0647\u0631\u0686\u0647 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0628\u06cc\u0634\u062a\u0631 \u0628\u0627\u0634\u062f\u060c \u0627\u062d\u062a\u0645\u0627\u0644\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u0634\u062f\u0646 \u0647\u0645 \u0628\u0627\u0644\u0627\u062a\u0631 \u0645\u06cc\u200c\u0631\u0648\u062f. \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u0627\u0646\u0633 \u0627\u0634\u062e\u0627\u0635\u060c \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0622\u0646\u200c\u0647\u0627 \u0628\u0631 \u0645\u062c\u0645\u0648\u0639 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0628\u0647 \u062f\u0633\u062a \u0622\u0645\u062f\u0647 \u062a\u0642\u0633\u06cc\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/li>\n\n\n\n<li><strong>\u0631\u062a\u0628\u0647\u200c\u0628\u0646\u062f\u06cc (Ranking)<\/strong>: \u0627\u06af\u0631\u0686\u0647 \u0631\u0648\u0634 \u0631\u0648\u0644\u062a \u0628\u0647 \u0646\u0638\u0631 \u06a9\u0627\u0645\u0644\u0627 \u0645\u0639\u0642\u0648\u0644 \u062c\u0644\u0648\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u0627\u0645\u0627 \u0627\u0648\u0642\u0627\u062a\u06cc \u06a9\u0647 \u0634\u0627\u0646\u0633 \u0627\u0646\u062a\u062e\u0627\u0628 \u0627\u0634\u062e\u0627\u0635 \u062a\u0642\u0631\u06cc\u0628\u0627 \u06cc\u06a9\u0633\u0627\u0646 \u0627\u0633\u062a \u0628\u0647 \u0645\u0634\u06a9\u0644 \u0645\u06cc\u200c\u062e\u0648\u0631\u062f. \u062f\u0631 \u0686\u0646\u06cc\u0646 \u0633\u0646\u0627\u0631\u06cc\u0648\u0647\u0627\u06cc\u06cc\u060c \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0628\u0647\u062a\u0631\u06cc\u0646 \u0634\u062e\u0635 \u0645\u0645\u06a9\u0646 \u0627\u0646\u062a\u062e\u0627\u0628 \u0646\u0634\u0648\u062f. \u062f\u0631 \u0646\u062a\u06cc\u062c\u0647 \u0627\u0632 \u0631\u0648\u0634 \u0631\u062f\u0647\u200c\u0628\u0646\u062f\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0627\u0634\u062e\u0627\u0635 \u0631\u0627 \u0628\u0631\u0627\u0633\u0627\u0633 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0645\u0646\u0638\u0645 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 N \u0634\u062e\u0635 \u06a9\u0647 \u0628\u0627\u0644\u0627\u062a\u0631\u06cc\u0646 \u0631\u062a\u0628\u0647 \u0631\u0627 \u062f\u0631 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u062f\u0627\u0631\u0646\u062f\u060c \u0628\u0631\u06af\u0632\u06cc\u062f\u0647 \u062e\u0648\u0627\u0647\u0646\u062f \u0634\u062f.<\/li>\n\n\n\n<li><strong>\u0627\u0646\u062a\u062e\u0627\u0628 \u062a\u0648\u0631\u0646\u0645\u0646\u062a\u06cc (Tournament-Based Selection)<\/strong>: \u0627\u0634\u062e\u0627\u0635 \u0628\u0647\u200c\u0635\u0648\u0631\u062a \u06af\u0631\u0648\u0647 \u06af\u0631\u0648\u0647 \u062f\u0631 \u0645\u0633\u0627\u0628\u0642\u0627\u062a \u0634\u0631\u06a9\u062a \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f \u0648 \u0647\u0631\u0628\u0627\u0631 \u0628\u0631\u0646\u062f\u0647\u200c \u0645\u0633\u0627\u0628\u0642\u0647 \u0628\u0647 \u062d\u0648\u0636\u0686\u0647 \u0648\u0627\u0644\u062f\u06cc\u0646 \u0627\u0636\u0627\u0641\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" style=\"font-size:18px\"><strong>\u0686\u0637\u0648\u0631 \u0627\u0634\u062e\u0627\u0635 \u0631\u0627 \u062f\u0631 \u062c\u0645\u0639\u06cc\u062a \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u06a9\u0646\u06cc\u0645\u061f<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u0645\u062f\u0644 \u0646\u0633\u0644\u06cc (Generational): <\/strong>\u0647\u0631 \u0628\u0627\u0631 \u06a9\u0644 \u062c\u0645\u0639\u06cc\u062a \u0628\u0627 \u0641\u0631\u0632\u0646\u062f\u0627\u0646 \u062a\u0648\u0644\u06cc\u062f \u0634\u062f\u0647 \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/li>\n\n\n\n<li><strong>\u0645\u062f\u0644 \u062d\u0627\u0644\u062a \u0627\u0633\u062a\u0648\u0627\u0631 (Steady State Selection): <\/strong>\u062f\u0631 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u062a\u0646\u0647\u0627 \u0628\u062e\u0634\u06cc \u0627\u0632 \u062c\u0645\u0639\u06cc\u062a \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644 \u06cc\u06a9 \u0633\u06cc\u0627\u0633\u062a \u0646\u062e\u0628\u0647\u200c\u0633\u0627\u0644\u0627\u0631\u06cc (Elitism) \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0628\u0647\u062a\u0631\u06cc\u0646 \u0627\u0641\u0631\u0627\u062f \u062c\u0645\u0639\u06cc\u062a \u062d\u0641\u0638 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" style=\"font-size:18px\">\u062a\u0648\u0644\u06cc\u062f \u0627\u0634\u062e\u0627\u0635 \u0628\u0627 \u062a\u0642\u0627\u0637\u0639<\/h3>\n\n\n\n<p>\u0628\u0647 \u0635\u0648\u0631\u062a \u06a9\u0644\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0647 \u0633\u0647 \u0631\u0648\u0634 \u0627\u0632 \u062a\u0642\u0627\u0637\u0639 \u06cc\u0627 Crossover \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0645\u062b\u0644 \u06a9\u0645\u06a9 \u06af\u0631\u0641\u062a:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u062a\u0642\u0627\u0637\u0639 \u06cc\u06a9\u200c\u0646\u0642\u0637\u0647\u200c\u0627\u06cc (One-Point Crossing)<\/strong>: \u0622\u0644\u0644\u200c\u0647\u0627\u06cc \u0648\u0627\u0644\u062f\u06cc\u0646 \u0628\u0647 \u062f\u0648 \u0628\u062e\u0634 \u062a\u0642\u0633\u06cc\u0645 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. \u0641\u0631\u0632\u0646\u062f \u0627\u06cc\u0646 \u062f\u0648\u060c \u06cc\u06a9 \u0628\u062e\u0634 \u0622\u0644\u0644 \u0631\u0627 \u0627\u0632 \u0648\u0627\u0644\u062f \u0627\u0648\u0644 \u0648 \u0628\u062e\u0634 \u062f\u0648\u0645 \u0622\u0644\u0644 \u0631\u0627 \u0627\u0632 \u0648\u0627\u0644\u062f \u062f\u0648\u0645 \u062f\u0631\u06cc\u0627\u0641\u062a \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/li>\n\n\n\n<li><strong>\u062a\u0642\u0627\u0637\u0639 \u0686\u0646\u062f \u0646\u0642\u0637\u0647\u200c\u0627\u06cc (Multipoint Crossover)<\/strong>: \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0634\u0627\u0647\u062f \u0627\u06cc\u062f\u0647\u200c\u0627\u06cc \u0645\u0634\u0627\u0628\u0647 \u0628\u0647 \u0645\u0648\u0631\u062f \u0642\u0628\u0644\u06cc \u0647\u0633\u062a\u06cc\u0645\u060c \u0627\u0645\u0627 \u0627\u06cc\u0646 \u0628\u0627\u0631 \u0622\u0644\u0644\u200c\u0647\u0627 \u0628\u0647 \u06f3 \u06af\u0631\u0648\u0647 \u06cc\u0627 \u0628\u06cc\u0634\u062a\u0631 \u062a\u0642\u0633\u06cc\u0645 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f \u0648 \u0641\u0631\u0632\u0646\u062f\u0627\u0646 \u0646\u06cc\u0632 \u062a\u0631\u06a9\u06cc\u0628\u06cc \u0627\u0632 \u0627\u06cc\u0646 \u06af\u0631\u0648\u0647\u200c\u0647\u0627 \u062e\u0648\u0627\u0647\u0646\u062f \u0628\u0648\u062f.<\/li>\n\n\n\n<li><strong>\u062a\u0642\u0627\u0637\u0639 \u06cc\u06a9\u067e\u0627\u0631\u0686\u0647 (Uniform Crossing)<\/strong>: \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u0622\u0644\u0644\u200c\u0647\u0627\u06cc \u0648\u0627\u0644\u062f\u06cc\u0646 \u0628\u0647 \u0635\u0648\u0631\u062a \u0627\u062a\u0641\u0627\u0642\u06cc \u0627\u0646\u062a\u062e\u0627\u0628 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f \u0648 \u0641\u0631\u0632\u0646\u062f \u0622\u0646\u200c\u0647\u0627 \u0646\u06cc\u0632 \u062a\u0631\u06a9\u06cc\u0628\u06cc \u0627\u062a\u0641\u0627\u0642\u06cc \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0648\u0627\u0644\u062f\u06cc\u0646 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f. <\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" style=\"font-size:18px\">\u062a\u0648\u0644\u06cc\u062f \u0627\u0634\u062e\u0627\u0635 \u0628\u0627 \u062c\u0647\u0634<\/h3>\n\n\n\n<p>\u0648\u0642\u062a\u06cc \u0646\u0648\u0628\u062a \u0628\u0647 \u062c\u0647\u0634 \u0645\u06cc\u200c\u0631\u0633\u062f\u060c \u062f\u0648 \u0631\u0648\u0634 \u06a9\u0644\u06cc \u0628\u0631\u0627\u06cc \u062c\u0647\u0634 \u06cc\u0627\u0641\u062a\u0646 \u0698\u0646\u200c\u0647\u0627 \u062f\u0627\u0631\u06cc\u0645:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u062c\u0647\u0634 \u062a\u0635\u0627\u062f\u0641\u06cc (Random Mutation)<\/strong>: \u062c\u0647\u0634 \u0628\u0647 \u0635\u0648\u0631\u062a \u062a\u0635\u0627\u062f\u0641\u06cc \u0631\u062e \u0645\u06cc\u200c\u062f\u0647\u062f \u0648 \u062f\u0631\u0628\u0631\u06af\u06cc\u0631\u0646\u062f\u0647 \u06cc\u06a9 \u0622\u0644\u0644 (\u06cc\u0627 \u06cc\u06a9 \u0645\u0642\u062f\u0627\u0631) \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.<\/li>\n\n\n\n<li><strong>\u0634\u0631\u06cc\u0646\u06a9 (Shrink)<\/strong>: \u0645\u0642\u062f\u0627\u0631\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u0627\u0632 \u062a\u0648\u0632\u06cc\u0639\u06cc \u0639\u0627\u062f\u06cc &#8211; \u06cc\u0627 \u0646\u0648\u0639\u06cc \u062f\u06cc\u06af\u0631 \u0627\u0632 \u062a\u0648\u0632\u06cc\u0639\u200c\u0647\u0627 \u0645\u062b\u0644 \u062a\u0648\u0632\u06cc\u0639 \u06cc\u06a9\u067e\u0627\u0631\u0686\u0647 (Uniform Distribution) &#8211; \u0628\u0631\u062f\u0627\u0634\u062a\u0647 \u0634\u062f\u0647 \u0648 \u0628\u0647 \u0645\u0642\u062f\u0627\u0631 \u06cc\u06a9\u06cc \u0627\u0632 \u0627\u0634\u062e\u0627\u0635 \u0627\u0636\u0627\u0641\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/li>\n<\/ul>\n\n\n\n<p>\u062d\u0627\u0644\u0627 \u06a9\u0647 \u0628\u062e\u0634 \u0645\u0647\u0645\u06cc \u0627\u0632 \u062f\u0627\u0646\u0633\u062a\u0646\u06cc\u200c\u0647\u0627\u06cc \u067e\u06cc\u0631\u0627\u0645\u0648\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u0631\u0627 \u0622\u0645\u0648\u062e\u062a\u0647\u200c\u0627\u06cc\u062f\u060c \u0646\u0648\u0628\u062a \u0628\u0647 \u0646\u062d\u0648\u0647 \u06a9\u0627\u0631 \u0628\u0627 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0645\u06cc\u200c\u0631\u0633\u062f. <\/p>\n\n\n\n<div style=\"height:18px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:20px\"><span class=\"ez-toc-section\" id=\"%DA%A9%D8%A7%D8%B1_%D8%A8%D8%A7_%D8%A7%D9%84%DA%AF%D9%88%D8%B1%DB%8C%D8%AA%D9%85_%DA%98%D9%86%D8%AA%DB%8C%DA%A9_%D8%AF%D8%B1_%D9%BE%D8%A7%DB%8C%D8%AA%D9%88%D9%86\"><\/span>\u06a9\u0627\u0631 \u0628\u0627 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/genetics-3-1024x683.png\" alt=\"\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9\" class=\"wp-image-48474\" srcset=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/genetics-3-1024x683.png 1024w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/genetics-3-300x200.png 300w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/genetics-3-768x512.png 768w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2025\/04\/genetics-3.png 1536w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u0632\u0628\u0627\u0646 <a href=\"https:\/\/quera.org\/blog\/python-explained\/\">\u067e\u0627\u06cc\u062a\u0648\u0646<\/a> \u0628\u0647 \u0633\u0631\u0627\u063a \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647\u200c\u0627\u06cc \u0628\u0647 \u0646\u0627\u0645 <a href=\"https:\/\/pygad.readthedocs.io\/en\/latest\/\" target=\"_blank\" rel=\"noreferrer noopener\">PyGAD<\/a> \u0645\u06cc\u200c\u0631\u0648\u06cc\u0645 \u06a9\u0647 \u0633\u0627\u062e\u062a \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0631\u0627 \u0622\u0633\u0627\u0646 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0627\u06cc\u0646 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 \u0627\u0646\u062a\u062e\u0627\u0628\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0645\u062d\u0628\u0648\u0628 \u0627\u0633\u062a\u060c \u0632\u06cc\u0631\u0627 \u0628\u0627 Keras \u0648 PyTorch &#8211; \u062f\u0648 \u0641\u0631\u06cc\u0645\u200c\u0648\u0631\u06a9 \u0627\u0635\u0644\u06cc \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0631\u0627\u06cc \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0639\u0645\u06cc\u0642 (Deep Learning) &#8211; \u0633\u0627\u0632\u06af\u0627\u0631\u06cc \u062f\u0627\u0631\u062f \u0648 \u0627\u0632 \u0627\u0646\u0648\u0627\u0639 \u062a\u0642\u0637\u06cc\u0639\u200c\u0647\u0627\u060c \u062c\u0647\u0634\u200c\u0647\u0627 \u0648 \u0627\u0646\u062a\u062e\u0627\u0628\u200c\u0647\u0627 \u067e\u0634\u062a\u06cc\u0628\u0627\u0646\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/p>\n\n\n\n<p>\u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0627\u0648\u0644\u06cc\u0646 \u06a9\u0627\u0631\u06cc \u06a9\u0647 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u062f\u0647\u06cc\u0645\u060c \u0646\u0635\u0628 PyGAD \u0627\u0633\u062a. \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0627\u0632 \u0641\u0631\u0645\u0627\u0646 \u0632\u06cc\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">pip&nbsp;install&nbsp;pygad<\/code><\/pre>\n\n\n\n<p>\u067e\u0633 \u0627\u0632 \u0627\u06cc\u0646\u060c \u0645\u06cc\u200c\u062e\u0648\u0627\u0647\u06cc\u0645 \u0645\u0633\u0627\u0644\u0647\u200c\u0627\u06cc \u0646\u0633\u0628\u062a\u0627 \u0633\u0627\u062f\u0647 \u0631\u0627 \u062d\u0644 \u06a9\u0646\u06cc\u0645: \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u0648\u0632\u0646\u200c\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u0628\u0627\u06cc\u062f \u0645\u0642\u0627\u062f\u06cc\u0631 \u06af\u0648\u0646\u0627\u06af\u0648\u0646 \u062f\u0631\u06cc\u0627\u0641\u062a \u06a9\u0646\u0646\u062f \u062a\u0627 \u0628\u0627 \u0636\u0631\u0628 \u0634\u062f\u0646 \u062f\u0631 \u0647\u0645\u0627\u0646 \u0645\u0642\u0627\u062f\u06cc\u0631\u060c \u0627\u0639\u062f\u0627\u062f\u06cc \u0645\u0634\u062e\u0635 \u0628\u0627\u0632\u06af\u0631\u062f\u0627\u0646\u0646\u062f. <\/p>\n\n\n\n<p>\u0628\u0631\u0627\u06cc \u0631\u0633\u06cc\u062f\u06af\u06cc \u0628\u0647 \u0627\u06cc\u0646 \u0648\u0638\u06cc\u0641\u0647 \u0627\u0632 \u062a\u0627\u0628\u0639 GA \u062f\u0631 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 PyGAD \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645. \u0627\u06cc\u0646 \u062a\u0627\u0628\u0639 \u0646\u06cc\u0627\u0632 \u0628\u0647 \u062a\u0639\u06cc\u06cc\u0646 \u0645\u062c\u0645\u0648\u0639\u0647\u200c\u0627\u06cc \u0627\u0632 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627 \u062f\u0627\u0631\u062f\u060c \u0645\u062b\u0644\u0627 \u062f\u0641\u0639\u0627\u062a \u062a\u06a9\u0631\u0627\u0631 \u0641\u0631\u0627\u06cc\u0646\u062f\u060c \u062a\u0639\u062f\u0627\u062f \u0627\u0634\u062e\u0627\u0635\u06cc \u06a9\u0647 \u062c\u0645\u0639\u06cc\u062a \u0631\u0627 \u062a\u0634\u06a9\u06cc\u0644 \u062f\u0627\u062f\u0647\u200c\u0627\u0646\u062f \u0648 \u0647\u0645\u06cc\u0646\u0637\u0648\u0631 \u0646\u0648\u0639 \u062c\u0647\u0634 \u06cc\u0627 \u062a\u0642\u0627\u0637\u0639\u06cc \u06a9\u0647 \u0645\u06cc\u200c\u062e\u0648\u0627\u0647\u06cc\u062f \u0627\u062a\u0641\u0627\u0642 \u0628\u06cc\u0641\u062a\u062f.<\/p>\n\n\n\n<p>\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646 \u0628\u0627\u06cc\u062f \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0631\u0627 \u0647\u0645 \u0628\u0647 \u062a\u0627\u0628\u0639 \u062e\u0627\u0637\u0631 \u0646\u0634\u0627\u0646 \u06a9\u0646\u06cc\u0645. \u0627\u06cc\u0646 \u062a\u0627\u0628\u0639 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0648\u0631\u0648\u062f\u06cc\u060c \u0646\u06cc\u0627\u0632 \u0628\u0647 \u06cc\u06a9 \u0631\u0627\u0647\u06a9\u0627\u0631 (Solution) \u0648 \u06af\u0627\u0647\u06cc \u06cc\u06a9 \u0641\u0647\u0631\u0633\u062a \u0631\u0627\u0647\u06a9\u0627\u0631 (Solution Index) \u062f\u0627\u0631\u062f \u0648 \u0645\u0642\u062f\u0627\u0631 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0631\u0627 \u0628\u0627\u0632\u0645\u06cc\u200c\u06af\u0631\u062f\u0627\u0646\u062f.<\/p>\n\n\n\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0646\u062d\u0648\u0647 \u0631\u0633\u06cc\u062f\u06af\u06cc \u0628\u0647 \u06cc\u06a9 \u0645\u0633\u0627\u0644\u0647 \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0633\u0627\u062f\u0647 \u0631\u0627 \u0628\u0627 PyGAD \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u0645:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">import pygad\nimport numpy\n\ninputs = [0.4,1,0,7,8]\ndesired_output = 32\n\ndef fitness_func(solution, solution_idx):\n    output = numpy.sum(solution*inputs)\n    fitness = 1.0 \/ (numpy.abs(output - desired_output) + 0.000001)\n    \n    return fitness\n\nga_instance = pygad.GA(num_generations=100,\n                       sol_per_pop=10,\n                       num_genes=len(inputs),\n                       num_parents_mating=2,\n                       fitness_func=fitness_func,\n                       mutation_type=\"random\",\n                       mutation_probability=0.6)\n\nga_instance.run()\n\nga_instance.plot_fitness()<\/code><\/pre>\n\n\n\n<p>\u0647\u0645\u0627\u0646\u200c\u0637\u0648\u0631 \u06a9\u0647 \u0645\u06cc\u200c\u0628\u06cc\u0646\u06cc\u0645\u060c \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0628\u0647 \u062f\u0633\u062a \u0622\u0645\u062f\u0647 \u0628\u0627 \u0645\u062f\u0644 \u0645\u0627 \u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u0628\u0633\u06cc\u0627\u0631 \u067e\u0627\u06cc\u06cc\u0646 \u0628\u0648\u062f. \u0627\u0645\u0627 \u0647\u0645\u06cc\u0646\u0637\u0648\u0631 \u06a9\u0647 \u0641\u0631\u0627\u06cc\u0646\u062f \u067e\u06cc\u0634 \u0645\u06cc\u200c\u0631\u0648\u062f\u060c \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0628\u0647\u0628\u0648\u062f \u0645\u06cc\u200c\u06cc\u0627\u0628\u062f \u0648 \u0628\u0627\u0644\u0627\u062e\u0631\u0647 \u062f\u0631 \u0646\u0633\u0644 \u06f9\u06f0 \u0628\u0647 \u062c\u0648\u0627\u0628\u06cc \u0645\u0637\u0644\u0648\u0628 \u0645\u06cc\u200c\u0631\u0633\u062f.<\/p>\n\n\n\n<p>\u062f\u0633\u062a\u06cc\u0627\u0628\u06cc \u0628\u0647 \u0631\u0627\u0647\u06a9\u0627\u0631 \u0645\u0637\u0644\u0648\u0628 \u0646\u0634\u0627\u0646 \u0645\u06cc\u200c\u062f\u0647\u062f \u06a9\u0647 \u0647\u06cc\u0686 \u0631\u0627\u0647\u06a9\u0627\u0631\u06cc \u00ab\u0628\u0647\u062a\u0631\u06cc\u0646\u00bb \u0631\u0627\u0647\u06a9\u0627\u0631 \u0628\u0627\u0644\u0642\u0648\u0647 \u0646\u06cc\u0633\u062a \u0648 \u0628\u0647 \u0647\u0645\u06cc\u0646 \u062e\u0627\u0637\u0631 \u0647\u0645 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u062a\u063a\u06cc\u06cc\u0631\u06cc \u0646\u06a9\u0631\u062f\u0647 \u0627\u0633\u062a.<\/p>\n\n\n\n<p>\u062d\u0627\u0644\u0627 \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0646\u06af\u0627\u0647\u06cc \u0628\u0647 \u0645\u0648\u0627\u0631\u062f \u067e\u06cc\u0686\u06cc\u062f\u0647\u200c\u062a\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u06cc\u0646\u062f\u0627\u0632\u06cc\u0645.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:20px\"><span class=\"ez-toc-section\" id=\"%D9%85%D8%B3%D8%A7%D8%A6%D9%84_%D8%A8%D9%87%DB%8C%D9%86%D9%87%E2%80%8C%D8%B3%D8%A7%D8%B2%DB%8C_%D8%A8%D8%A7_%D8%A7%D9%84%DA%AF%D9%88%D8%B1%DB%8C%D8%AA%D9%85_%DA%98%D9%86%D8%AA%DB%8C%DA%A9_%D8%AF%D8%B1_%D9%BE%D8%A7%DB%8C%D8%AA%D9%88%D9%86\"><\/span>\u0645\u0633\u0627\u0626\u0644 \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0628\u0627 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u0628\u0631\u0627\u06cc \u062f\u0631\u06a9 \u0647\u0631\u0686\u0647 \u0628\u0647\u062a\u0631 \u067e\u062a\u0627\u0646\u0633\u06cc\u0644\u200c\u0647\u0627\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0698\u0646\u062a\u06cc\u06a9 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0628\u0647 \u0633\u0631\u0627\u063a \u06cc\u06a9\u06cc \u0627\u0632 \u0645\u0633\u0627\u0626\u0644 \u06a9\u0644\u0627\u0633\u06cc\u06a9 \u062f\u0631 \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0628\u0631\u0648\u06cc\u0645: \u062a\u0639\u06cc\u06cc\u0646 \u0645\u0642\u062f\u0627\u0631 \u0628\u0647\u06cc\u0646\u0647\u200c \u062a\u0648\u0644\u06cc\u062f \u0628\u0631\u0627\u06cc \u06a9\u0633\u0628 \u0628\u06cc\u0634\u062a\u0631\u06cc\u0646 \u0633\u0648\u062f \u0627\u0632 \u0645\u062d\u0635\u0648\u0644\u0627\u062a \u06cc\u06a9 \u0634\u0631\u06a9\u062a\u060c \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0645\u062c\u0645\u0648\u0639\u0647\u200c\u0627\u06cc \u0627\u0632 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a\u200c\u0647\u0627.<\/p>\n\n\n\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0645\u062b\u0627\u0644\u060c \u0634\u0631\u06a9\u062a \u0645\u0648\u0631\u062f \u0646\u0638\u0631 \u0645\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0686\u0646\u06cc\u0646 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a\u200c\u0647\u0627\u06cc\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u0627\u0632 \u0647\u0631 \u0645\u062d\u0635\u0648\u0644 \u0628\u0627\u06cc\u062f \u062d\u062f\u0627\u0642\u0644 \u06f1\u06f0 \u0648\u0627\u062d\u062f \u062a\u0648\u0644\u06cc\u062f \u0634\u0648\u062f.<\/li>\n\n\n\n<li>\u0645\u0642\u062f\u0627\u0631 \u0645\u0648\u0627\u062f \u0645\u0635\u0631\u0641\u06cc \u062f\u0631 \u0641\u0631\u0627\u06cc\u0646\u062f \u062a\u0648\u0644\u06cc\u062f \u0645\u062d\u062f\u0648\u062f \u0627\u0633\u062a \u0648 \u0646\u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0627\u0632 \u0627\u06cc\u0646 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0641\u0631\u0627\u062a\u0631 \u0631\u0641\u062a.<\/li>\n\n\n\n<li>\u0647\u0631 \u0645\u062d\u0635\u0648\u0644\u060c \u0645\u0632\u06cc\u062a\u06cc \u0645\u062a\u0641\u0627\u0648\u062a \u0628\u0647 \u0647\u0645\u0631\u0627\u0647 \u0645\u06cc\u200c\u0622\u0648\u0631\u062f.<\/li>\n<\/ul>\n\n\n\n<p>\u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0628\u0627 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0627\u0628\u062a\u062f\u0627 \u0628\u0627\u06cc\u062f \u062a\u0627\u0628\u0639 \u0631\u0627 \u0628\u0647\u200c\u06af\u0648\u0646\u0647\u200c\u0627\u06cc \u06a9\u062f\u0646\u0648\u06cc\u0633\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u06cc\u0627 Fitness \u0631\u0627 \u0628\u0633\u0646\u062c\u062f. \u0645\u062d\u062f\u0648\u062f\u06cc\u062a\u200c\u0647\u0627 \u0646\u06cc\u0632 \u062f\u0631\u0648\u0646 \u062a\u0627\u0628\u0639 \u0645\u062d\u0627\u0633\u0628\u0647 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u06a9\u062f\u0646\u0648\u06cc\u0633\u06cc \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0631\u0627 \u0628\u0627 \u0633\u0627\u062e\u062a \u0686\u0646\u06cc\u0646 \u062a\u0627\u0628\u0639\u06cc \u0634\u0631\u0648\u0639 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">margin = np.array([2, 2.5])\nmaterial_consumption = np.array([2,3]) \nmaterial_max = 500\n\ndef fitness_func(solution, solution_idx):\n\n  solution_added = solution + 50\n  calculated_margin = np.sum(solution_added*margin)\n  material_consumed = np.sum(solution_added*material_consumption)\n  \n  if material_consumed&gt; material_max:\n    return 0\n  \n  else:\n    return calculated_margin\n\n# We check a possible solution\nprint(f\"Fitness for correct scenario: {fitness_func(np.array([0, 0]), '')}\") \nprint(f\"Fitness for incorrect scenario: {fitness_func(np.array([0, 1]), '')}\") <\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"bash\" class=\"language-bash\">Fitness for correct scenario: 225.0\nFitness for incorrect scenario: 227.5<\/code><\/pre>\n\n\n\n<p>\u062d\u0627\u0644\u0627 \u06a9\u0647 \u062a\u0627\u0628\u0639 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u062e\u0648\u062f \u0631\u0627 \u06a9\u062f\u0646\u0648\u06cc\u0633\u06cc \u06a9\u0631\u062f\u0647\u200c\u0627\u06cc\u0645\u060c \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u0631\u0627 \u0628\u0647 \u0627\u062c\u0631\u0627 \u062f\u0631\u0622\u0648\u0631\u06cc\u0645:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">ga_instance = pygad.GA(num_generations=1000,\n                       sol_per_pop=10,\n                       num_genes=2,\n                       num_parents_mating=2,\n                       fitness_func=fitness_func,\n                       mutation_type=\"random\",\n                       mutation_probability=0.6\n                       )\n\nga_instance.run()\n\nga_instance.plot_fitness()<\/code><\/pre>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"393\" height=\"283\" src=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2024\/11\/complex-evolution.jpg\" alt=\"\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0686\u06cc\u0633\u062a\" class=\"wp-image-48086\" srcset=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2024\/11\/complex-evolution.jpg 393w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2024\/11\/complex-evolution-300x216.jpg 300w\" sizes=\"auto, (max-width: 393px) 100vw, 393px\" \/><\/figure>\n<\/div>\n\n\n<p>\u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0646\u06cc\u0632 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0631\u0627\u0647\u06a9\u0627\u0631 \u0627\u0631\u0627\u0626\u0647\u200c\u0634\u062f\u0647 \u0627\u0632 \u0633\u0648\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062e\u0648\u062f \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u0645:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"bash\" class=\"language-bash\">ga_instance.best_solution()[0] + 50<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"bash\" class=\"language-bash\">array([136.82320846,  75.43757807])<\/code><\/pre>\n\n\n\n<p>\u062d\u0627\u0644\u0627 \u06a9\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u0631\u0627 \u062f\u0631\u06a9 \u06a9\u0631\u062f\u0647\u200c\u0627\u06cc\u0645\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u062f\u0631 \u0628\u062e\u0634 \u067e\u0627\u06cc\u0627\u0646\u06cc\u060c \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u06a9\u0627\u0645\u0644 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u0631\u0627 \u0628\u0647 \u0632\u0628\u0627\u0646 \u067e\u0627\u06cc\u062a\u0648\u0646 \u06cc\u0627\u062f \u0628\u06af\u06cc\u0631\u06cc\u0645. <\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:20px\"><span class=\"ez-toc-section\" id=\"%D8%A8%D8%B1%D9%86%D8%A7%D9%85%D9%87%E2%80%8C%D9%86%D9%88%DB%8C%D8%B3%DB%8C_%D8%A7%D9%84%DA%AF%D9%88%D8%B1%DB%8C%D8%AA%D9%85_%DA%98%D9%86%D8%AA%DB%8C%DA%A9_%D8%AF%D8%B1_%D9%BE%D8%A7%DB%8C%D8%AA%D9%88%D9%86\"><\/span>\u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0646\u0648\u06cc\u0633\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u0627\u06af\u0631 \u0628\u062e\u0648\u0627\u0647\u06cc\u0645 \u06cc\u06a9 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u0631\u0627 \u0627\u0632 \u0646\u0648 \u0628\u0633\u0627\u0632\u06cc\u0645\u060c \u0644\u0627\u0632\u0645 \u0627\u0633\u062a:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u062c\u0645\u0639\u06cc\u062a\u06cc \u062d\u0627\u0648\u06cc N \u0634\u062e\u0635 \u0628\u0633\u0627\u0632\u06cc\u0645.<\/li>\n\n\n\n<li>\u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u062a\u0648\u0644\u06cc\u062f \u0645\u062b\u0644 \u0631\u0627 \u06a9\u062f\u0646\u0648\u06cc\u0633\u06cc \u06a9\u0646\u06cc\u0645.<\/li>\n<\/ul>\n\n\n\n<p>\u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0631\u0627 \u0628\u0627 \u0645\u0648\u0631\u062f \u0646\u062e\u0633\u062a \u0634\u0631\u0648\u0639 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645: \u062a\u0639\u0631\u06cc\u0641 \u062c\u0645\u0639\u06cc\u062a. <\/p>\n\n\n\n<div style=\"height:18px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\" style=\"font-size:18px\">\u0633\u0627\u062e\u062a \u062c\u0645\u0639\u06cc\u062a \u0628\u0631\u0627\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9<\/h3>\n\n\n\n<p>\u0628\u0631\u0627\u06cc \u0646\u0648\u0634\u062a\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0627\u0632 \u06cc\u06a9\u06cc \u0627\u0632 \u06a9\u0644\u0627\u0633\u200c\u0647\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645 \u0648 \u0633\u0627\u062e\u062a \u062c\u0645\u0639\u06cc\u062a \u0647\u0645 \u062f\u0631 \u0645\u0631\u062d\u0644\u0647 \u0631\u0627\u0647\u200c\u0627\u0646\u062f\u0627\u0632\u06cc (Initialization) \u0647\u0645\u0627\u0646 \u06a9\u0644\u0627\u0633 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644 \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u0647\u0645\u06af\u0631\u0627\u06cc\u06cc \u0628\u0647 \u0634\u06a9\u0644\u06cc \u0633\u0631\u06cc\u0639\u200c\u062a\u0631 \u0648 \u0622\u0633\u0627\u0646\u200c\u062a\u0631 \u0627\u0646\u062c\u0627\u0645 \u0634\u0648\u062f\u060c \u062c\u0645\u0639\u06cc\u062a \u0631\u0627 \u0628\u0647 \u062f\u0648 \u0634\u06a9\u0644 \u0645\u06cc\u200c\u0633\u0627\u0632\u06cc\u0645:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u0631\u0627\u0647\u200c\u0627\u0646\u062f\u0627\u0632\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u0622\u0644\u0644\u200c\u0647\u0627<\/strong>: \u062e\u06cc\u0644\u06cc \u0633\u0627\u062f\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u062a\u0648\u0644\u06cc\u062f \u0645\u06cc\u200c\u0634\u0648\u0646\u062f \u06a9\u0647 \u0646\u06cc\u0627\u0632 \u0628\u0647 \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u062f\u0627\u0631\u0646\u062f. \u0627\u06cc\u0646 \u0646\u0648\u0639 \u0627\u0632 \u0631\u0627\u0647\u200c\u0627\u0646\u062f\u0627\u0632\u06cc \u0632\u0645\u0627\u0646\u06cc \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 gene_limits \u0635\u0641\u0631 \u0628\u0627\u0634\u062f. <\/li>\n\n\n\n<li><strong>\u0631\u0627\u0647\u200c\u0627\u0646\u062f\u0627\u0632\u06cc \u0645\u062d\u062f\u0648\u062f \u0622\u0644\u0644\u200c\u0647\u0627<\/strong>: \u0631\u0648\u06cc \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u0622\u0644\u0644\u200c\u0647\u0627\u06cc \u0645\u0627 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a\u200c\u0647\u0627\u06cc \u06af\u0648\u0646\u0627\u06af\u0648\u0646 \u0627\u0639\u0645\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0647 \u0634\u06a9\u0644\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc\u060c \u0627\u0645\u0627 \u0645\u0637\u0627\u0628\u0642 \u0628\u0627 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a\u200c\u0647\u0627 \u062a\u0648\u0644\u06cc\u062f \u062e\u0648\u0627\u0647\u0646\u062f. \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 gene_limits \u0635\u0641\u0631 \u0646\u0628\u0627\u0634\u062f\u060c \u0627\u06cc\u0646 \u0646\u0648\u0639 \u0631\u0627\u0647\u200c\u0627\u0646\u062f\u0627\u0632\u06cc \u0627\u062a\u0641\u0627\u0642 \u0645\u06cc\u200c\u0627\u0641\u062a\u062f. <\/li>\n<\/ul>\n\n\n\n<p>\u0628\u0627 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0628\u0627\u0644\u0627\u060c \u06a9\u062f \u0631\u0627\u0647\u200c\u0627\u0646\u062f\u0627\u0632\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u062c\u0645\u0639\u06cc\u062a \u0686\u0646\u06cc\u0646 \u0634\u0645\u0627\u06cc\u0644\u06cc \u062f\u0627\u0631\u062f:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">import numpy as np\n\n\nclass GeneticAlgorithm:\n  def __init__(self, n_variables, n_genes, random_state = None, gene_limits = None):\n\n    self.n_variables = n_variables\n    self.n_genes = n_genes\n    self.gene_limits = gene_limits \n    self.random_state = random_state\n    \n    # Create the population\n    if self.gene_limits is not None:\n      \n      # Check that both vectors have the same length\n      assert len(self.gene_limits) == self.n_variables\n\n      limits = [np.random.uniform(limit[0], limit[1], self.n_genes)\n        for limit in self.gene_limits] \n\n    else:\n      limits = [np.random.random(self.n_genes)\n        for limit in range(self.n_variables)]\n      \n    # Convert list of limits to list of solutions\n    self.population = list(zip(*limits))\n        \nga = GeneticAlgorithm(\n    n_variables = 2,\n    n_genes = 10\n)\n\nga.population<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"bash\" class=\"language-bash\">[(0.3248594341550495, 0.7747988337644331),\n (0.9641753689879542, 0.2728028066671938),\n (0.7745274418319132, 0.2833543446404905),\n (0.8258487102100652, 0.9961554551162345),\n (0.034136970844815595, 0.7000431609346188),\n (0.9956365394402079, 0.6007170537947054),\n (0.5622396252894827, 0.6793736336026693),\n (0.16433824493155325, 0.579682515374066),\n (0.15570018999931567, 0.46125127275801037),\n (0.5544543502640932, 0.8094380724657084)]<\/code><\/pre>\n\n\n\n<p>\u062d\u0627\u0644\u0627 \u06a9\u0647 \u062c\u0645\u0639\u06cc\u062a \u062f\u0627\u0631\u06cc\u0645\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0628\u0647 \u0645\u0631\u062d\u0644\u0647 \u0628\u0639\u062f \u0648 \u0628\u0647 \u0633\u0631\u0627\u063a \u0645\u062d\u0627\u0633\u0628\u0647 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0628\u0631\u0648\u06cc\u0645.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" style=\"font-size:18px\">\u0645\u062d\u0627\u0633\u0628\u0647 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u062f\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9<\/h3>\n\n\n\n<p>\u0648\u0642\u062a\u06cc \u06a9\u0627\u0631 \u0628\u0627 \u062c\u0645\u0639\u06cc\u062a \u0634\u0631\u0648\u0639 \u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u0628\u0627\u06cc\u062f \u0628\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062e\u0648\u062f \u0627\u062c\u0627\u0632\u0647 \u062f\u0647\u06cc\u0645 \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u062f\u0631\u06cc\u0627\u0641\u062a \u06a9\u0646\u062f. \u0627\u0632 \u0627\u06cc\u0646 \u062a\u0627\u0628\u0639 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u0631\u0627\u0647\u06a9\u0627\u0631\u0647\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u062f\u0627\u062e\u0644\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645.<\/p>\n\n\n\n<p>\u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u06a9\u062f \u0628\u062e\u0634 \u0642\u0628\u0644\u06cc \u0631\u0627 \u06af\u0633\u062a\u0631\u0634 \u0645\u06cc\u200c\u062f\u0647\u06cc\u0645 \u0648 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u062c\u062f\u06cc\u062f fitness_func \u0631\u0627 \u0627\u0636\u0627\u0641\u0647 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u06cc\u06a9 \u0631\u0627\u0647 \u062d\u0644 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0648\u0631\u0648\u062f\u06cc \u062f\u0631\u06cc\u0627\u0641\u062a \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u0645\u0642\u062f\u0627\u0631 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u06cc\u0627 Fitness Value \u0631\u0627 \u0628\u0627\u0632\u0645\u06cc\u200c\u06af\u0631\u062f\u0627\u0646\u062f.<\/p>\n\n\n\n<p>\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646\u060c \u0645\u062a\u062f\u06cc \u0628\u0647 \u0646\u0627\u0645 get_fitness_scores \u0647\u0645 \u0645\u06cc\u200c\u0633\u0627\u0632\u06cc\u0645 \u06a9\u0647 \u0646\u0645\u0631\u0647 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0631\u0627\u0647\u06a9\u0627\u0631 \u06a9\u0646\u0648\u0646\u06cc \u0631\u0627 \u0628\u0627\u0632\u0645\u06cc\u200c\u06af\u0631\u062f\u0627\u0646\u062f. \u0628\u0647 \u0627\u06cc\u0646 \u062a\u0631\u062a\u06cc\u0628 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u0645\u062a\u06cc\u0627\u0632 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u062f\u0631 \u0633\u0631\u0627\u0633\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0622\u0633\u0627\u0646\u200c\u062a\u0631 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/p>\n\n\n\n<p>\u062d\u0627\u0644\u0627 \u0628\u06cc\u0627\u06cc\u06cc\u062f \u06a9\u062f \u0631\u0627 \u06af\u0633\u062a\u0631\u0634 \u062f\u0647\u06cc\u0645 \u062a\u0627 \u062d\u0627\u0648\u06cc \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0628\u0627\u0634\u062f:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">import numpy as np\nimport inspect\n\nclass GeneticAlgorithm:\n  def __init__(\n      self, n_variables, n_genes, mutation_type = 'random', random_state = None, \n      gene_limits = None, fitness_func = None):\n\n    assert mutation_type in ['random']\n\n    self.n_variables = n_variables\n    self.n_genes = n_genes\n    self.gene_limits = gene_limits \n    self.mutation_type = mutation_type\n    self.random_state = random_state\n    self.fitness_func = fitness_func\n \n    # Create the population\n    if self.gene_limits is not None:\n      \n      # Check that both vectors have the same length\n      assert len(self.gene_limits) == self.n_variables\n\n      limits = [np.random.uniform(limit[0], limit[1], self.n_genes)\n        for limit in self.gene_limits] \n\n    else:\n      limits = [np.random.random(self.n_genes)\n        for limit in range(self.n_variables)]\n      \n    # Convert list of limits to list of solutions\n    self.population = list(zip(*limits))\n  \n  def get_fitness_scores(self):\n    scores = [self.fitness_func(ind) for ind in self.population]\n    return np.array(scores)\n\ndef fitness_func(solution):\n  solution = np.array(solution)\n  solution_added = solution + 50\n  calculated_margin = np.sum(solution_added*margin)\n  material_consumed = np.sum(solution_added*material_consumption)\n  \n  if material_consumed&gt; material_max:\n    return 0\n  \n  else:\n    return calculated_margin\n\nga = GeneticAlgorithm(\n    n_variables = 2,\n    n_genes = 10,\n    fitness_func= fitness_func\n)\n\nfitness_scores = ga.get_fitness_scores()\nfitness_scores<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"bash\" class=\"language-bash\">array([228.53122328, 227.3974419 , 226.11156266, 227.45136065,\n       225.92371642, 226.86141269, 228.93654237, 228.35770696,\n       226.48405291, 227.82272666])<\/code><\/pre>\n\n\n\n<p>\u062d\u0627\u0644\u0627 \u06a9\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u062a\u0645\u0627\u0645 \u0627\u0634\u062e\u0627\u0635 \u062d\u0627\u0636\u0631 \u062f\u0631 \u062c\u0645\u0639\u06cc\u062a \u0631\u0627 \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u06a9\u0646\u06cc\u0645\u060c \u0628\u0647 \u0641\u0627\u0632 \u0628\u0639\u062f\u06cc \u06a9\u0627\u0631 \u0645\u06cc\u200c\u0631\u0648\u06cc\u0645: \u0627\u0646\u062a\u062e\u0627\u0628 \u0627\u0634\u062e\u0627\u0635 \u062a\u0648\u0633\u0637 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646. <\/p>\n\n\n\n<h3 class=\"wp-block-heading\" style=\"font-size:18px\">\u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0646\u0648\u06cc\u0633\u06cc \u0627\u0646\u062a\u062e\u0627\u0628 \u0627\u0634\u062e\u0627\u0635<\/h3>\n\n\n\n<p>\u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0627\u0645\u06a9\u0627\u0646 \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0628\u0627 \u062a\u0627\u0628\u0639 \u0645\u0647\u06cc\u0627 \u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0633\u06cc\u0633\u062a\u0645 \u0627\u0646\u062a\u062e\u0627\u0628 \u0628\u0647\u062a\u0631\u06cc\u0646 \u0646\u0627\u0645\u0632\u062f\u0647\u0627 \u0631\u0627 \u0628\u0633\u0627\u0632\u06cc\u0645. \u0633\u06cc\u0633\u062a\u0645\u06cc \u06a9\u0647 \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0645\u06cc\u200c\u0633\u0627\u0632\u06cc\u0645 \u0627\u062c\u0627\u0632\u0647 \u0645\u06cc\u200c\u062f\u0647\u062f \u0641\u0631\u0627\u06cc\u0646\u062f \u0627\u0646\u062a\u062e\u0627\u0628 \u0631\u0627 \u0628\u0647 \u062f\u0648 \u0634\u06a9\u0644 \u067e\u06cc\u0634 \u0628\u0628\u0631\u06cc\u0645: \u0631\u0648\u0634 \u0631\u062f\u0647\u200c\u0628\u0646\u062f\u06cc \u0648 \u0631\u0648\u0634 \u062a\u0648\u0631\u0646\u0645\u0646\u062a.<\/p>\n\n\n\n<p>\u062f\u0631 \u0631\u0648\u0634 \u0631\u062f\u0647\u200c\u0628\u0646\u062f\u06cc\u060c \u062e\u06cc\u0644\u06cc \u0633\u0627\u062f\u0647 \u0628\u0627\u06cc\u062f \u0628\u0647 \u062f\u0646\u0628\u0627\u0644 \u0634\u0627\u062e\u0635\u200c\u0647\u0627\u06cc\u06cc \u0628\u0627\u0634\u06cc\u0645 \u06a9\u0647 \u0627\u0632 \u0646\u0638\u0631 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc\u060c \u0628\u0647\u062a\u0631\u06cc\u0646 \u0646\u062a\u06cc\u062c\u0647 \u0631\u0627 \u0628\u0647 \u0646\u0645\u0627\u06cc\u0634 \u0645\u06cc\u200c\u06af\u0630\u0627\u0631\u0646\u062f. \u0647\u0645\u0627\u0646\u200c\u0637\u0648\u0631 \u06a9\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u062f\u0631 \u06a9\u062f \u062f\u06cc\u062f\u060c \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u06cc \u062c\u062f\u06cc\u062f \u0628\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u0636\u0627\u0641\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u062a\u0639\u062f\u0627\u062f \u0627\u0634\u062e\u0627\u0635 \u0645\u0646\u062a\u062e\u0628 \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0645\u062b\u0644 \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc\u200c\u062f\u0647\u062f.<\/p>\n\n\n\n<p>\u0628\u0631\u0627\u06cc \u0631\u0648\u0634 \u062a\u0648\u0631\u0646\u0645\u0646\u062a \u0647\u0645 \u0628\u06cc\u0634\u062a\u0631\u06cc\u0646 \u062c\u0641\u062a\u200c\u0647\u0627\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u0645\u0645\u06a9\u0646 \u0631\u0627 \u0627\u0632 \u0698\u0646\u200c\u0647\u0627\u06cc \u0645\u0648\u0631\u062f \u0646\u0638\u0631 \u062e\u0648\u062f \u062f\u0631 \u062c\u0645\u0639\u06cc\u062a \u0645\u06cc\u200c\u0633\u0627\u0632\u06cc\u0645 \u0648 \u0628\u0627\u0644\u0627\u062a\u0631\u06cc\u0646 \u0645\u0642\u062f\u0627\u0631 \u0631\u0627 \u0627\u0632 \u0647\u0631 \u062c\u0641\u062a \u0627\u0646\u062a\u062e\u0627\u0628 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645. <\/p>\n\n\n\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u06a9\u062f\u0647\u0627\u06cc \u0633\u06cc\u0633\u062a\u0645 \u0627\u0646\u062a\u062e\u0627\u0628 \u062e\u0648\u062f \u0631\u0627 \u0628\u0628\u06cc\u0646\u06cc\u0645:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">def ranking_selection(scores, k):\n    if k is None:\n      raise ValueError('K must not be none if type ranking is selected.')\n    \n    ind = np.argpartition(scores, k)[-k:]\n\n    return ind\n\ndef tournament_selection(scores, k, n_candidates):\n  candidates = [np.random.randint(0, len(scores), 3) for i in range(3)]\n  tournament_winner = [np.argmax(scores[tournament]) for i, tournament in enumerate(candidates)]\n  ind = [tournament[tournament_winner[i]] for i, tournament in enumerate(candidates)]\n\n  return np.array(ind)\n\ndef gene_selection(scores, type, k, n_candidates = None):\n\n  if type not in ['ranking','tournament']:\n    raise ValueError('Type should be ranking or tournament')\n  \n  if type == 'ranking':\n    ind = ranking_selection(scores, k)\n  elif type == 'tournament':\n    ind = tournament_selection(scores, k, n_candidates)\n  else:\n    pass\n\n  return ind\n\n\nranking_selection = gene_selection(scores= fitness_scores,\n               type = 'ranking',\n               k = 3\n               )\n\ntournament_selection = gene_selection(scores= fitness_scores,\n               type = 'tournament',\n               k = 3,\n               n_candidates = 11\n               )\n\nprint(f\"\"\"\nRanking selection results: {ranking_selection}\nTournament selection results: {tournament_selection}\n\"\"\")\n<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"bash\" class=\"language-bash\">Ranking selection results: [7 6 0]\nTournament selection results: [7 0 6]<\/code><\/pre>\n\n\n\n<p>\u062d\u0627\u0644\u0627 \u06a9\u0647 \u0633\u06cc\u0633\u062a\u0645 \u0627\u0646\u062a\u062e\u0627\u0628 \u0647\u0645 \u0633\u0627\u062e\u062a\u0647 \u0634\u062f\u0647\u060c \u0633\u06cc\u0633\u062a\u0645 \u00ab\u062a\u0648\u0644\u06cc\u062f\u00bb (Generation) \u0631\u0627 \u0647\u0645 \u0628\u0631\u0627\u06cc \u0646\u0633\u0644\u200c\u0647\u0627\u06cc \u062c\u062f\u06cc\u062f \u0645\u06cc\u200c\u0633\u0627\u0632\u06cc\u0645. <\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u06a9\u062f\u0646\u0648\u06cc\u0633\u06cc \u062a\u0648\u0644\u06cc\u062f \u0645\u062b\u0644<\/h3>\n\n\n\n<p>\u0628\u0631\u0627\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u062a\u0648\u0644\u06cc\u062f \u0646\u0633\u0644\u200c\u0647\u0627\u06cc \u062c\u062f\u06cc\u062f \u0627\u0645\u06a9\u0627\u0646\u200c\u067e\u0630\u06cc\u0631 \u0634\u0648\u062f\u060c \u0628\u0627\u06cc\u062f \u0628\u0647 \u0645\u062f\u0644 \u062e\u0648\u062f \u0627\u062c\u0627\u0632\u0647 \u062f\u0647\u06cc\u0645 \u06a9\u0647 \u0647\u0645 \u0627\u0632 \u062a\u0642\u0627\u0637\u0639 \u0648 \u0647\u0645 \u062c\u0647\u0634 \u06a9\u0645\u06a9 \u0628\u06af\u06cc\u0631\u062f. \u062f\u0631 \u0646\u062a\u06cc\u062c\u0647 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u062f\u06cc\u06af\u0631\u06cc (transformation_type) \u0647\u0645 \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u0627\u0634\u062a \u06a9\u0647 \u0646\u0634\u0627\u0646\u200c\u062f\u0647\u0646\u062f\u0647 \u0646\u0648\u0639 \u062f\u06af\u0631\u06af\u0648\u0646\u06cc \u0627\u0633\u062a. <\/p>\n\n\n\n<p>\u0627\u0632 \u0646\u0638\u0631 \u062a\u0642\u0627\u0637\u0639 \u0647\u0627 \u0646\u06cc\u0632 \u0627\u0645\u06a9\u0627\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062f\u0648 \u0646\u0648\u0639 \u062a\u0642\u0627\u0637\u0639 \u0631\u0627 \u0645\u0647\u06cc\u0627 \u0645\u06cc \u06a9\u0646\u06cc\u0645: \u062a\u0642\u0627\u0637\u0639 \u06cc\u06a9\u067e\u0627\u0631\u0686\u0647 \u0648 \u062a\u0642\u0627\u0637\u0639 \u062a\u06a9\u200c\u0646\u0642\u0637\u0647\u200c\u0627\u06cc.<\/p>\n\n\n\n<p>\u062f\u0631 \u0647\u0631 \u062f\u0648 \u062d\u0627\u0644\u062a \u0644\u0627\u0632\u0645 \u0627\u0633\u062a \u062f\u0631 \u0646\u0638\u0631 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u0645 \u06a9\u0647 \u062f\u0648 \u0641\u0631\u0632\u0646\u062f \u062c\u062f\u06cc\u062f \u0627\u0632 \u062f\u0648 \u0648\u0627\u0644\u062f \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u0646\u062f. \u062f\u0631 \u0646\u062a\u06cc\u062c\u0647\u060c \u062a\u0639\u062f\u0627\u062f \u062c\u0641\u062a\u200c\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u062a\u0648\u0644\u06cc\u062f \u0645\u06cc\u200c\u0634\u0648\u0646\u062f \u0628\u0627\u06cc\u062f \u0646\u0635\u0641 \u062a\u0639\u062f\u0627\u062f \u062a\u0645\u0627\u0645 \u0627\u0634\u062e\u0627\u0635 \u062f\u0631 \u062c\u0645\u0639\u06cc\u062a \u0628\u0627\u0634\u062f:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">def crossover(parent1, parent2, crossover_type):\n\n  # Check crossover type\n  if crossover_type not in ['uniform', 'one_point']:\n    raise ValueError('crossover_type should be one of uniform, one_point or multi_point')\n  \n  if crossover_type == 'one_point':\n    index = np.random.choice(range(len(parent1)))\n    children = [parent2[:index] + parent1[index:], parent1[:index] + parent2[index:]]\n\n  elif crossover_type == 'uniform':\n    parents = list(zip(*[parent1,parent2]))\n    children1 = tuple([np.random.choice(element) for element in parents])\n    children2 = tuple([np.random.choice(element) for element in parents])\n    children = [children1, children2]\n  else:\n    pass\n\n  return children\n\nchildren_uniform = crossover(\n    ga.population[0],\n    ga.population[1],\n    crossover_type = 'uniform'\n    )\n\nchildren_onepoint = crossover(\n    ga.population[0],\n    ga.population[1],\n    crossover_type = 'one_point'\n    )\n\nprint(f\"\"\"\nChildren Uniform: {children_uniform}\nChildren One Point: {children_onepoint}\n\"\"\")\n<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"bash\" class=\"language-bash\">Children Uniform: [(0.8750958900239486, 0.6664701872724336), (0.8750958900239486, 0.7124125982046803)]\nChildren One Point: [(0.8750958900239486, 0.7124125982046803), (0.36563321798453374, 0.6664701872724336)]<\/code><\/pre>\n\n\n\n<p>\u062d\u0627\u0644\u0627 \u06a9\u0647 \u062a\u0642\u0627\u0637\u0639 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0631\u0627 \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0646\u0648\u06cc\u0633\u06cc \u06a9\u0631\u062f\u0647\u200c\u0627\u06cc\u0645\u060c \u0646\u0648\u0628\u062a \u0628\u0647 \u06a9\u062f\u0646\u0648\u06cc\u0633\u06cc \u062c\u0647\u0634 \u0645\u06cc\u200c\u0631\u0633\u062f. \u0647\u0645\u0627\u0646\u200c\u0637\u0648\u0631 \u06a9\u0647 \u067e\u06cc\u0634\u200c\u062a\u0631 \u0646\u06cc\u0632 \u0627\u0634\u0627\u0631\u0647 \u06a9\u0631\u062f\u06cc\u0645\u060c \u0628\u0647 \u0635\u0648\u0631\u062a \u06a9\u0644\u06cc \u062f\u0648 \u0646\u0648\u0639 \u062c\u0647\u0634 \u062f\u0627\u0631\u06cc\u0645:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u0631\u0634\u062a\u0647 \u0628\u06cc\u062a (Bit String)<\/strong>: \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u062f\u0631 \u06cc\u06a9\u06cc \u0627\u0632 \u0622\u0644\u0644\u200c\u0647\u0627 \u0628\u0647 \u0648\u062c\u0648\u062f \u0645\u06cc\u200c\u0622\u0648\u0631\u062f.<\/li>\n\n\n\n<li><strong>\u0634\u0631\u06cc\u0646\u06a9 (Shrink)<\/strong>: \u06cc\u06a9\u06cc \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u06cc\u06a9 \u062a\u0648\u0632\u06cc\u0639 \u0646\u0631\u0645\u0627\u0644 \u0631\u0627 \u0628\u0647 \u06cc\u06a9\u06cc \u0627\u0632 \u0622\u0644\u0644\u200c\u0647\u0627 \u0627\u0636\u0627\u0641\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. <\/li>\n<\/ul>\n\n\n\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0631\u0648\u06cc\u0647\u060c \u0646\u062a\u0627\u06cc\u062c\u06cc \u0645\u062a\u0641\u0627\u0648\u062a \u0646\u0633\u0628\u062a \u0628\u0647 \u062a\u0642\u0627\u0637\u0639 \u062e\u0648\u0627\u0647\u06cc\u0645 \u062f\u0627\u0634\u062a\u060c \u0632\u06cc\u0631\u0627 \u062f\u0631\u062d\u0627\u0644\u06cc \u06a9\u0647 \u062a\u0642\u0627\u0637\u0639 \u062f\u0648 \u0641\u0631\u0632\u0646\u062f \u0628\u0627 \u062e\u0648\u062f \u0628\u0647 \u0647\u0645\u0631\u0627\u0647 \u0645\u06cc\u200c\u0622\u0648\u0631\u062f\u060c \u062f\u0631 \u062c\u0647\u0634 \u062a\u0646\u0647\u0627 \u0634\u0627\u0647\u062f \u062a\u0648\u0644\u06cc\u062f \u06cc\u06a9 \u0641\u0631\u0632\u0646\u062f \u0647\u0633\u062a\u06cc\u0645.<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">def mutation(individual, mutation_type):\n\n  if mutation_type not in ['bitstring', 'shrink']:\n    raise ValueError('mutation_type should be one of bitstring or shrinkg')\n  \n  # Get index of individual to modify\n  index = np.random.choice(len(individual))\n\n  # Convert individual to list so that can be modified\n  individual_mod = list(individual)\n\n  if mutation_type == 'bitstring':      \n    individual_mod[index] = 1 - individual_mod[index]\n  \n  else:\n    individual_mod[index] = individual_mod[index] + np.random.rand()\n  \n  # Convert indivudal to tuple\n  individual = tuple(individual_mod)\n\n  return individual\n\nmutation_bitstring = mutation(ga.population[0], mutation_type = 'bitstring')\nmutation_shrink = mutation(ga.population[0], mutation_type = 'shrink')\n\n\nprint(f\"\"\"\nMutation bitstring: {mutation_bitstring}\nMutation shrink: {mutation_shrink}\n\"\"\")<\/code><\/pre>\n\n\n\n<p>\u0628\u0627 \u0627\u0636\u0627\u0641\u0647 \u0634\u062f\u0646 \u06a9\u062f \u0628\u0627\u0644\u0627\u060c \u0628\u0647 \u062a\u0645\u0627\u0645 \u0645\u0648\u0627\u062f \u0644\u0627\u0632\u0645 \u0628\u0631\u0627\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062e\u0648\u062f \u062f\u0633\u062a\u0631\u0633\u06cc \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0647\u200c\u0627\u06cc\u0645. \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0646\u0648\u0628\u062a \u0628\u0647 \u0627\u06cc\u0646 \u0645\u06cc\u200c\u0631\u0633\u062f \u06a9\u0647 \u062a\u0645\u0627\u0645 \u0628\u0644\u0648\u06a9\u200c\u0647\u0627\u06cc \u06a9\u062f \u0631\u0627 \u06a9\u0646\u0627\u0631 \u0647\u0645 \u0628\u06af\u0630\u0627\u0631\u06cc\u0645 \u0648 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0631\u0627 \u0628\u0633\u0627\u0632\u06cc\u0645. <\/p>\n\n\n\n<h3 class=\"wp-block-heading\" style=\"font-size:18px\">\u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0646\u0648\u06cc\u0633\u06cc \u062a\u06a9\u0627\u0645\u0644 \u062f\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9<\/h3>\n\n\n\n<p>\u0628\u0631\u0627\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u062a\u06a9\u0627\u0645\u0644 (Evolution) \u0631\u0627 \u062f\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062e\u0648\u062f \u067e\u06cc\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645\u060c \u0644\u0627\u0632\u0645 \u0627\u0633\u062a \u062e\u06cc\u0644\u06cc \u0633\u0627\u062f\u0647 \u0628\u0644\u0648\u06a9\u200c\u0647\u0627\u06cc \u06a9\u062f \u067e\u06cc\u0634\u06cc\u0646 \u0631\u0627 \u06a9\u0646\u0627\u0631 \u0647\u0645 \u0628\u06af\u0630\u0627\u0631\u06cc\u0645 \u0648 \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0627\u0632 \u0645\u062a\u062f Optimize \u06a9\u0645\u06a9 \u0645\u06cc\u200c\u06af\u06cc\u0631\u06cc\u0645.<\/p>\n\n\n\n<p>\u0628\u0631\u0627\u06cc \u0646\u0647\u0627\u06cc\u06cc \u06a9\u0631\u062f\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u062e\u0648\u062f\u060c \u0686\u0646\u062f \u0633\u0648\u0627\u0644 \u0628\u0647\u200c\u062e\u0635\u0648\u0635 &#8211; \u0645\u0627\u0646\u0646\u062f \u0645\u0642\u062f\u0627\u0631 Best_Fitness_Evolution &#8211; \u062a\u0639\u06cc\u06cc\u0646 \u06a9\u0631\u062f\u0647\u200c\u0622\u06cc\u0645 \u06a9\u0647 \u0646\u062a\u0627\u06cc\u062c \u0628\u0647\u062a\u0631\u06cc\u0646 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u062f\u0631 \u0647\u0631 \u0646\u0633\u0644 \u0631\u0627 \u067e\u0627\u06cc\u0634 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f.<\/p>\n\n\n\n<p>\u0628\u0647 \u0635\u0648\u0631\u062a \u0645\u0634\u0627\u0628\u0647\u060c \u0645\u062a\u062f\u06cc \u062f\u06cc\u06af\u0631 \u0628\u0647 \u0646\u0627\u0645 view_fitness_evolution \u0646\u06cc\u0632 \u0633\u0627\u062e\u062a\u0647\u200c\u0627\u06cc\u0645 \u06a9\u0647 \u062a\u06a9\u0627\u0645\u0644 \u0628\u0647\u062a\u0631\u06cc\u0646 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0628\u0647 \u062f\u0633\u062a \u0622\u0645\u062f\u0647 \u0631\u0627 \u0645\u0635\u0648\u0631\u0633\u0627\u0632\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u062f\u0631\u0633\u062a \u0645\u0627\u0646\u0646\u062f \u0622\u0646\u0686\u0647 \u067e\u06cc\u0634\u200c\u062a\u0631 \u0628\u0627 PyGAD \u062f\u06cc\u062f\u06cc\u0645.<\/p>\n\n\n\n<p>\u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u06a9\u062f \u0646\u0647\u0627\u06cc\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u0645\u0627 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0628\u0647 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">import numpy as np\nimport inspect\nfrom tqdm import tqdm\nimport matplotlib.pyplot as plt\n\nclass GeneticAlgorithm:\n  def __init__(\n      self,\n      n_variables,\n      n_genes,\n      n_iterations,\n      transformation_type = None,\n      mutation_type = None,\n      crossover_type = None,\n      gene_selection_type = None,\n      n_selected_individuals = None,\n      n_candidates = None,\n      random_state = None, \n      gene_limits = None,\n      fitness_func = None\n      ):\n\n    # Make validations\n    if transformation_type not in ['mutation', 'transformation']:\n      raise ValueError('transformation_type should be one of mutation or transformation.')\n\n    self.n_variables = n_variables\n    self.n_genes = n_genes\n    self.gene_limits = gene_limits \n    self.transformation_type = transformation_type\n    self.mutation_type = mutation_type\n    self.random_state = random_state\n    self.fitness_func = fitness_func\n    self.n_iterations = n_iterations\n    self.gene_selection_type = gene_selection_type\n    self.n_selected_individuals = n_selected_individuals\n    self.n_candidates = n_candidates\n    self.crossover_type = crossover_type\n    self.best_fitness_evolution = []\n\n    # Asserts \n    # Check that fitness function is a function\n    assert callable(fitness_func)\n \n    # Create the population\n    if self.gene_limits is not None:\n      \n      # Check that both vectors have the same length\n      assert len(self.gene_limits) == self.n_variables\n\n      limits = [np.random.uniform(limit[0], limit[1], self.n_genes)\n        for limit in self.gene_limits] \n\n    else:\n      limits = [np.random.random(self.n_genes)\n        for limit in range(self.n_variables)]\n      \n    # Convert list of limits to list of solutions\n    self.population = np.array(list(zip(*limits)))\n\n  def get_fitness_scores(self):\n    scores = [self.fitness_func(ind) for ind in self.population]\n    scores = np.array(scores)\n    return scores \n\n  def __append_best_score(self, scores):\n    best_score = np.max(scores)\n    self.best_fitness_evolution.append(best_score)\n    return 'Ok'\n\n\n  def __ranking_selection(self, k):\n      if k is None:\n        raise ValueError('K must not be none if type ranking is selected.')\n      \n      ind = np.argpartition(self.get_fitness_scores(), k)[-k:]\n      return ind\n\n  def __tournament_selection(self, k, n_candidates):\n    candidates = [np.random.randint(0, len(self.get_fitness_scores()), 3) for i in range(3)]\n    tournament_winner = [np.argmax(self.get_fitness_scores()[tournament]) for i, tournament in enumerate(candidates)]\n    ind = [tournament[tournament_winner[i]] for i, tournament in enumerate(candidates)]\n\n    return np.array(ind)\n\n  def gene_selection(self, gene_selection_type, k, n_candidates = None):\n\n    if gene_selection_type not in ['ranking','tournament']:\n      raise ValueError('Type should be ranking or tournament')\n    \n    if gene_selection_type == 'ranking':\n      ind = self.__ranking_selection(k)\n    elif gene_selection_type == 'tournament':\n      ind = self.__tournament_selection(k, n_candidates)\n    else:\n      pass\n\n    return ind\n  \n  def __crossover(self, parent1, parent2, crossover_type):\n    \n    # Check crossover type\n    if crossover_type not in ['uniform', 'one_point']:\n      raise ValueError('crossover_type should be one of uniform, one_point or multi_point')\n    \n    if crossover_type == 'one_point':\n      index = np.random.choice(range(len(parent1)))\n      children = parent2[:index] + parent1[index:], parent1[:index] + parent2[index:]\n\n    elif crossover_type == 'uniform':\n      parents = list(zip(*[parent1,parent2]))\n      children1 = tuple([np.random.choice(element) for element in parents])\n      children2 = tuple([np.random.choice(element) for element in parents])\n      children = children1, children2\n    else:\n      pass\n\n    return children\n\n\n  def __mutation(self, individual, mutation_type):\n\n    if mutation_type not in ['bitstring', 'shrink']:\n      raise ValueError('mutation_type should be one of bitstring or shrinkg')\n    \n    # Get index of individual to modify\n    index = np.random.choice(len(individual))\n\n    # Convert individual to list so that can be modified\n    individual_mod = list(individual)\n\n    if mutation_type == 'bitstring':      \n      individual_mod[index] = 1 - individual_mod[index]\n    \n    else:\n      individual_mod[index] = individual_mod[index] + np.random.rand()\n    \n    # Convert indivudal to tuple\n    individual = tuple(individual_mod)\n\n    return individual\n\n  def optimize(self):\n    \n    for i in tqdm(range(self.n_iterations)):\n\n      # Calculate fitness score\n      scores = self.get_fitness_scores()\n\n      # Append best score\n      _ = self.__append_best_score(scores)\n\n      # Make Selection\n      selected_genes = self.gene_selection(\n          gene_selection_type = self.gene_selection_type,\n          k = self.n_selected_individuals,\n          n_candidates = self.n_candidates\n          )\n      \n      # Get selected population\n      selected_population = self.population[selected_genes.tolist()]\n      \n\n      # Make transformations (mutation\/crossover)\n      if self.transformation_type == 'mutation':\n        transformed_genes_index = np.random.choice(\n            range(len(selected_population)),\n            self.n_genes\n            )\n        \n\n        new_population = [self.__mutation(selected_population[i], self.mutation_type)\n          for i in transformed_genes_index]\n      \n      else:\n        # Get pairs of parents\n        parents_pairs = np.random.choice(\n            selected_genes,\n            (int(self.n_genes\/2),2)\n            )\n        \n        # For each pair, make crossover\n        new_population = [self.__crossover(self.population[parents[0]],\n                                           self.population[parents[1]],\n                                           crossover_type=self.crossover_type\n                                           )\n          for parents in parents_pairs]\n        \n        # Unnest population\n        new_population = [child for children in new_population for child in children]\n      \n      # Set new population as population\n      self.population = np.array(new_population)\n    \n    # When n_iterations are finished, fitness score\n    scores = self.get_fitness_scores()\n\n    # Append best score\n    _ = self.__append_best_score(scores)\n\n    # Get the result where the result is the best\n    best_score_ind =np.argpartition(scores, 0)[0]\n    \n    best_solution = self.population[best_score_ind]\n\n    return (best_solution, self.best_fitness_evolution[-1])\n\n  def view_fitness_evolution(self):\n    plt.plot(\n        range(len(self.best_fitness_evolution)),\n        self.best_fitness_evolution\n    )\n<\/code><\/pre>\n\n\n\n<p>\u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0644\u0627\u0632\u0645 \u0627\u0633\u062a \u06a9\u062f \u062e\u0648\u062f \u0631\u0627 \u062a\u0633\u062a \u0648 \u0628\u0627 \u0633\u0646\u062c\u0634 \u062c\u0647\u0634 \u0648 \u062a\u0642\u0627\u0637\u0639\u060c \u0646\u062a\u0627\u06cc\u062c \u0628\u0627\u0632\u06af\u0634\u062a\u06cc \u0647\u0631\u06a9\u062f\u0627\u0645 \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u0645. \u0627\u0648\u0644 \u0628\u0647 \u0633\u0631\u0627\u063a \u062c\u0647\u0634 \u0645\u06cc\u200c\u0631\u0648\u06cc\u0645:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">ga = GeneticAlgorithm(\n  n_variables = 2,\n  n_genes = 10,\n  n_iterations = 50,\n  transformation_type = 'mutation', #transformation\n  mutation_type = 'shrink',\n  #crossover_type = 'uniform',\n  gene_selection_type = 'ranking',\n  n_selected_individuals = 3,\n  #n_candidates = None,\n  #random_state = None, \n  #gene_limits = None,\n  fitness_func = fitness_func\n  )\n\nprint(ga.optimize())\nga.view_fitness_evolution()<\/code><\/pre>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"375\" height=\"248\" src=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2024\/11\/mutation.jpg\" alt=\"\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0686\u06cc\u0633\u062a\" class=\"wp-image-48085\" srcset=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2024\/11\/mutation.jpg 375w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2024\/11\/mutation-300x198.jpg 300w\" sizes=\"auto, (max-width: 375px) 100vw, 375px\" \/><\/figure>\n<\/div>\n\n\n<p>\u0628\u0639\u062f \u0647\u0645 \u062a\u0642\u0627\u0637\u0639 \u0631\u0627 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"python\" class=\"language-python\">ga = GeneticAlgorithm(\n  n_variables = 2,\n  n_genes = 10,\n  n_iterations = 50,\n  transformation_type = 'transformation',\n  crossover_type = 'uniform',\n  gene_selection_type = 'ranking',\n  n_selected_individuals = 3,\n  fitness_func = fitness_func\n  )\n\nprint(ga.optimize())\nga.view_fitness_evolution()<\/code><\/pre>\n\n\n\n<pre class=\"wp-block-code\"><code lang=\"bash\" class=\"language-bash\">100%|\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588| 50\/50 [00:00&lt;00:00, 693.67it\/s]\n(array([0.97573885, 0.93485633]), 229.28861852920954)<\/code><\/pre>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"391\" height=\"249\" src=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2024\/11\/crossover.jpg\" alt=\"\u062a\u0642\u0627\u0637\u0639 \u062f\u0631 Genetic Algorithm\" class=\"wp-image-48084\" srcset=\"https:\/\/quera.org\/blog\/wp-content\/uploads\/2024\/11\/crossover.jpg 391w, https:\/\/quera.org\/blog\/wp-content\/uploads\/2024\/11\/crossover-300x191.jpg 300w\" sizes=\"auto, (max-width: 391px) 100vw, 391px\" \/><\/figure>\n<\/div>\n\n\n<p>\u0647\u0645\u0627\u0646\u200c\u0637\u0648\u0631 \u06a9\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u062f\u06cc\u062f\u060c \u0645\u062f\u0644 \u0645\u0627 \u0647\u0646\u06af\u0627\u0645 \u06a9\u0627\u0631 \u0628\u0627 \u0647\u0631 \u062f\u0648 \u0631\u0648\u0634 \u0628\u0647 \u062e\u0648\u0628\u06cc \u06a9\u0627\u0631 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u0628\u0631\u0627\u0632\u0646\u062f\u06af\u06cc \u0631\u0627 \u0628\u0627 \u0627\u0632 \u0631\u0627\u0647 \u0631\u0633\u06cc\u062f\u0646 \u0647\u0631 \u0646\u0633\u0644 \u062c\u062f\u06cc\u062f\u06cc\u060c \u0628\u0647\u0628\u0648\u062f \u0645\u06cc\u200c\u0628\u062e\u0634\u062f.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:20px\"><span class=\"ez-toc-section\" id=\"%D8%AC%D9%85%D8%B9%E2%80%8C%D8%A8%D9%86%D8%AF%DB%8C_%D8%A7%D9%84%DA%AF%D9%88%D8%B1%DB%8C%D8%AA%D9%85_%DA%98%D9%86%D8%AA%DB%8C%DA%A9_%D8%AF%D8%B1_%D9%BE%D8%A7%DB%8C%D8%AA%D9%88%D9%86\"><\/span>\u062c\u0645\u0639\u200c\u0628\u0646\u062f\u06cc  \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u062c\u0645\u0639\u200c\u0628\u0646\u062f\u06cc \u0628\u0627\u06cc\u062f \u06af\u0641\u062a \u06a9\u0647 \u0628\u062f\u0648\u0646 \u0647\u06cc\u0686 \u062a\u0631\u062f\u06cc\u062f\u060c \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0698\u0646\u062a\u06cc\u06a9 \u06a9\u0627\u0631\u0628\u0631\u062f \u0641\u0631\u0627\u0648\u0627\u0646 \u062f\u0631 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u062f\u0627\u0631\u0646\u062f \u0648 \u062a\u0645\u0627\u0645 \u062f\u06cc\u062a\u0627 \u0633\u0627\u06cc\u0646\u062a\u06cc\u0633\u062a\u200c\u0647\u0627 \u0628\u0627\u06cc\u062f \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0631\u0627 \u0628\u0634\u0646\u0627\u0633\u0646\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0637\u0644\u0628 \u0646\u062d\u0648\u0647 \u06a9\u0627\u0631 \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0648 \u0647\u0645\u06cc\u0646\u0637\u0648\u0631 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0698\u0646\u062a\u06cc\u06a9 \u062f\u0631 \u067e\u0627\u06cc\u062a\u0648\u0646 \u0631\u0627 \u0622\u0645\u0648\u062e\u062a\u06cc\u0645 \u0648 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u0645\u0647\u0627\u0631\u062a \u062c\u062f\u06cc\u062f\u062a\u0627\u0646 \u062f\u0631 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc \u0648 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u0647\u0627\u06cc\u067e\u0631\u067e\u0627\u0631\u0627\u0645\u062a\u0631 (Hyperparameter) \u06a9\u0645\u06a9 \u0628\u06af\u06cc\u0631\u06cc\u062f.<\/p>\n\n\n\n<p>\u0645\u0646\u0628\u0639: <a href=\"https:\/\/anderfernandez.com\/en\/blog\/genetic-algorithm-in-python\/\" target=\"_blank\" rel=\"noreferrer noopener\">Ander Fernandez<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647\u200c\u0633\u0627\u0632\u06cc (Optimization Models) \u06cc\u06a9\u06cc \u0627\u0632 \u0628\u0647\u062a\u0631\u06cc\u0646 \u0627\u0628\u0632\u0627\u0631\u0647\u0627\u06cc \u062f\u0631 \u062f\u0633\u062a\u0631\u0633 \u0645\u062d\u0642\u0642\u0627\u0646 \u062f\u0627\u062f\u0647 \u06cc\u0627 \u062f\u06cc\u062a\u0627 \u0633\u0627\u06cc\u0646\u062a\u06cc\u0633\u062a\u200c\u0647\u0627 \u0627\u0633\u062a \u06a9\u0647 \u0627\u0632 \u0622\u0646\u200c\u0647\u0627 \u0628\u0631\u0627\u06cc&#8230;<\/p>\n","protected":false},"author":49,"featured_media":48471,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[46,64,77],"tags":[199,226],"class_list":["post-48065","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-developer","category-python","category-basics","tag-199","tag-226"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin 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