{"id":5622,"date":"2026-01-15T22:16:31","date_gmt":"2026-01-15T22:16:31","guid":{"rendered":"https:\/\/izvestiyakbncran.ru\/?page_id=5622"},"modified":"2026-01-21T10:47:57","modified_gmt":"2026-01-21T10:47:57","slug":"27-6-9","status":"publish","type":"page","link":"https:\/\/izvestiyakbncran.ru\/index.php\/27-6-9\/","title":{"rendered":"27.6.9"},"content":{"rendered":"\n

\u0420\u043e\u0431\u0430\u0441\u0442\u043d\u0430\u044f \u043c\u043e\u0434\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u044f PSO \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 M-\u0441\u0440\u0435\u0434\u043d\u0438\u0445 \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u0447 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438<\/strong><\/h1>\n\n\n\n

\u0415. \u041c. \u041a\u0430\u0437\u0430\u043a\u043e\u0432\u0430<\/strong><\/p>\n\n\n\n

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\u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f<\/em><\/strong>. \u041b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043e\u0441\u0442\u0430\u0435\u0442\u0441\u044f \u043e\u0434\u043d\u0438\u043c \u0438\u0437 \u0431\u0430\u0437\u043e\u0432\u044b\u0445 \u0438\u043d\u0441\u0442\u0440\u0443\u043c\u0435\u043d\u0442\u043e\u0432 \u0430\u043d\u0430\u043b\u0438\u0437\u0430 \u0434\u0430\u043d\u043d\u044b\u0445, \u043e\u0434\u043d\u0430\u043a\u043e \u0435\u0435 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u044c \u0440\u0435\u0437\u043a\u043e \u0441\u043d\u0438\u0436\u0430\u0435\u0442\u0441\u044f \u0432 \u043f\u0440\u0438\u0441\u0443\u0442\u0441\u0442\u0432\u0438\u0438 \u0432\u044b\u0431\u0440\u043e\u0441\u043e\u0432 \u0438 \u0448\u0443\u043c\u043e\u0432, \u0447\u0442\u043e \u043f\u0440\u0438\u0432\u043e\u0434\u0438\u0442 \u043a \u0438\u0441\u043a\u0430\u0436\u0435\u043d\u0438\u044e \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u0438 \u0441\u043d\u0438\u0436\u0435\u043d\u0438\u044e \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0430 \u043f\u0440\u043e\u0433\u043d\u043e\u0437\u0430. \u041a\u043b\u0430\u0441\u0441\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u044d\u0432\u0440\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438, \u0442\u0430\u043a\u0438\u0435 \u043a\u0430\u043a Particle Swarm Optimization (PSO) \u0438 Jaya, \u043f\u043e\u043a\u0430\u0437\u044b\u0432\u0430\u044e\u0442 \u0445\u043e\u0440\u043e\u0448\u0438\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u043d\u0430 \u0433\u043b\u0430\u0434\u043a\u0438\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u044f\u0445 \u043f\u043e\u0442\u0435\u0440\u044c, \u043d\u043e \u043e\u043a\u0430\u0437\u044b\u0432\u0430\u044e\u0442\u0441\u044f \u0447\u0443\u0432\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043a \u0432\u044b\u0431\u0440\u043e\u0441\u0430\u043c \u043f\u0440\u0438 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u0438 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u0439 \u0441\u0440\u0435\u0434\u043d\u0435\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u043e\u0448\u0438\u0431\u043a\u0438 (MSE). \u042d\u0442\u043e \u0441\u043e\u0437\u0434\u0430\u0435\u0442 \u043f\u043e\u0442\u0440\u0435\u0431\u043d\u043e\u0441\u0442\u044c \u0432 \u0440\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u043a\u0435 \u043f\u0440\u043e\u0441\u0442\u044b\u0445, \u043d\u043e \u0440\u043e\u0431\u0430\u0441\u0442\u043d\u044b\u0445 \u043c\u043e\u0434\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u0439, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0441\u043e\u0445\u0440\u0430\u043d\u044f\u043b\u0438 \u0431\u044b \u0433\u043b\u043e\u0431\u0430\u043b\u044c\u043d\u044b\u0435 \u043f\u043e\u0438\u0441\u043a\u043e\u0432\u044b\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430, \u043d\u0435 \u0443\u0441\u043b\u043e\u0436\u043d\u044f\u044f \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u0443 \u0431\u0430\u0437\u043e\u0432\u043e\u0433\u043e \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430.<\/p>\n\n\n\n

\u0426\u0435\u043b\u044c \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f<\/strong>. \u0420\u0430\u0437\u0440\u0430\u0431\u043e\u0442\u0430\u0442\u044c \u0438 \u044d\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442\u0430\u043b\u044c\u043d\u043e \u043e\u0446\u0435\u043d\u0438\u0442\u044c \u0440\u043e\u0431\u0430\u0441\u0442\u043d\u0443\u044e \u043c\u043e\u0434\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u044e PSO (PSO-Robust), \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0438\u0432\u0430\u044e\u0449\u0443\u044e \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u044c \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u043a \u0432\u044b\u0431\u0440\u043e\u0441\u0430\u043c \u0431\u0435\u0437 \u0443\u0441\u043b\u043e\u0436\u043d\u0435\u043d\u0438\u044f \u043e\u0441\u043d\u043e\u0432\u043d\u043e\u0433\u043e \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430 \u0438 \u0431\u0435\u0437 \u0432\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0433\u0438\u043f\u0435\u0440\u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u043e\u0432.<\/p>\n\n\n\n

\u041c\u0435\u0442\u043e\u0434\u044b \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f<\/strong>.\u0410\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0438\u0434\u0435\u044f: \u0441\u043e\u0445\u0440\u0430\u043d\u0438\u0442\u044c \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u044b\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0434\u0432\u0438\u0436\u0435\u043d\u0438\u044f PSO; \u0432\u043c\u0435\u0448\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u043e \u0442\u043e\u043b\u044c\u043a\u043e \u0432 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043f\u0440\u0438\u0433\u043e\u0434\u043d\u043e\u0441\u0442\u0438. \u0412\u043c\u0435\u0441\u0442\u043e \u0441\u0440\u0435\u0434\u043d\u0435\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043f\u043e\u0442\u0435\u0440\u044c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f M-\u0441\u0440\u0435\u0434\u043d\u0438\u0435 \u043d\u0430 \u0431\u0430\u0437\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0425\u044c\u044e\u0431\u0435\u0440\u0430 \u0441 \u0430\u0434\u0430\u043f\u0442\u0438\u0432\u043d\u044b\u043c\u0438 \u0432\u0435\u0441\u0430\u043c\u0438, \u0443\u043c\u0435\u043d\u044c\u0448\u0430\u044e\u0449\u0438\u043c\u0438 \u0432\u043a\u043b\u0430\u0434 \u0432\u044b\u0431\u0440\u043e\u0441\u043e\u0432. \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u044d\u043a\u0441\u043f\u0435\u0440\u0438\u043c\u0435\u043d\u0442\u044b \u043d\u0430 \u0441\u0438\u043d\u0442\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0434\u0430\u043d\u043d\u044b\u0445 (15 % \u0438 25 % \u0432\u044b\u0431\u0440\u043e\u0441\u043e\u0432) \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u044b \u043f\u0440\u0438 \u043e\u0434\u0438\u043d\u0430\u043a\u043e\u0432\u044b\u0445 \u0433\u0438\u043f\u0435\u0440\u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u0445 \u0434\u043b\u044f \u0432\u0441\u0435\u0445 \u0441\u0440\u0430\u0432\u043d\u0438\u0432\u0430\u0435\u043c\u044b\u0445 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u043e\u0432 \u0438 30 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u043f\u0435\u0440\u0435\u0437\u0430\u043f\u0443\u0441\u043a\u0430\u0445. \u041e\u0446\u0435\u043d\u043a\u0430 \u043f\u043e \u0441\u0440\u0435\u0434\u043d\u0438\u043c \u0438 \u043c\u0435\u0434\u0438\u0430\u043d\u043d\u044b\u043c \u0442\u0435\u0441\u0442\u043e\u0432\u044b\u043c \u043e\u0448\u0438\u0431\u043a\u0430\u043c, \u0430 \u0442\u0430\u043a\u0436\u0435 \u043f\u043e \u0440\u0430\u0437\u0431\u0440\u043e\u0441\u0443 (\u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044f, \u043c\u0435\u0436\u043a\u0432\u0430\u0440\u0442\u0438\u043b\u044c\u043d\u044b\u0439 \u0440\u0430\u0437\u043c\u0430\u0445). \u0412\u0438\u0437\u0443\u0430\u043b\u044c\u043d\u044b\u0439 \u0430\u043d\u0430\u043b\u0438\u0437 \u2013 boxplot \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439 \u043e\u0448\u0438\u0431\u043e\u043a \u0438 \u043b\u0438\u043d\u0438\u0438 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438.<\/p>\n\n\n\n

\u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b<\/strong>. PSO-Robust \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e \u043f\u0440\u0435\u0432\u043e\u0441\u0445\u043e\u0434\u0438\u0442 \u043a\u043b\u0430\u0441\u0441\u0438\u0447\u0435\u0441\u043a\u0438\u0439 PSO \u0438 Jaya \u043f\u043e \u0441\u0440\u0435\u0434\u043d\u0438\u043c \u0438 \u043c\u0435\u0434\u0438\u0430\u043d\u043d\u044b\u043c \u0442\u0435\u0441\u0442\u043e\u0432\u044b\u043c \u043e\u0448\u0438\u0431\u043a\u0430\u043c. \u041d\u0430\u0431\u043b\u044e\u0434\u0430\u0435\u0442\u0441\u044f \u043c\u0435\u043d\u044c\u0448\u0438\u0439 \u0440\u0430\u0437\u0431\u0440\u043e\u0441 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u0432 (\u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044f). \u0412\u0438\u0437\u0443\u0430\u043b\u044c\u043d\u044b\u0439 \u0430\u043d\u0430\u043b\u0438\u0437 \u043f\u043e\u0434\u0442\u0432\u0435\u0440\u0436\u0434\u0430\u0435\u0442 \u0441\u043d\u0438\u0436\u0435\u043d\u043d\u0443\u044e \u0447\u0443\u0432\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u044c \u043a \u0432\u044b\u0431\u0440\u043e\u0441\u0430\u043c (\u0431\u043e\u043b\u0435\u0435 \u043a\u043e\u043c\u043f\u0430\u043a\u0442\u043d\u044b\u0435 boxplot, \u0431\u043e\u043b\u0435\u0435 \u0430\u0434\u0435\u043a\u0432\u0430\u0442\u043d\u044b\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438).<\/p>\n\n\n\n

\u0417\u0430\u043a\u043b\u044e\u0447\u0435\u043d\u0438\u0435<\/strong>. \u041c\u043e\u0434\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u044f PSO-Robust \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0438\u0440\u0443\u0435\u0442 \u0441\u0442\u0430\u0431\u0438\u043b\u044c\u043d\u043e\u0435 \u043f\u0440\u0435\u0432\u043e\u0441\u0445\u043e\u0434\u0441\u0442\u0432\u043e \u043d\u0430\u0434 \u0438\u0441\u0445\u043e\u0434\u043d\u044b\u043c\u0438 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u0430\u043c\u0438 \u043f\u043e \u0442\u043e\u0447\u043d\u043e\u0441\u0442\u0438 \u0438 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u0438, \u043e\u0431\u0435\u0441\u043f\u0435\u0447\u0438\u0432\u0430\u044f \u0431\u043e\u043b\u0435\u0435 \u043a\u043e\u043c\u043f\u0430\u043a\u0442\u043d\u044b\u0435 boxplot \u0438 \u043c\u0435\u043d\u0435\u0435 \u0438\u0441\u043a\u0430\u0436\u0435\u043d\u043d\u044b\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438. \u041f\u0440\u0435\u0434\u043b\u043e\u0436\u0435\u043d\u043d\u044b\u0439 \u043f\u043e\u0434\u0445\u043e\u0434 \u0441\u043e\u0447\u0435\u0442\u0430\u0435\u0442 \u043f\u0440\u043e\u0441\u0442\u043e\u0442\u0443 \u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438 \u0441 \u0440\u043e\u0431\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u044c\u044e, \u043f\u043e\u0432\u044b\u0448\u0430\u044f \u043d\u0430\u0434\u0435\u0436\u043d\u043e\u0441\u0442\u044c \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u043e\u043d\u043d\u044b\u0445 \u043c\u043e\u0434\u0435\u043b\u0435\u0439 \u0432 \u0443\u0441\u043b\u043e\u0432\u0438\u044f\u0445 \u043d\u0435\u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b\u0445 \u0434\u0430\u043d\u043d\u044b\u0445. \u041f\u0435\u0440\u0441\u043f\u0435\u043a\u0442\u0438\u0432\u044b \u0440\u0430\u0437\u0432\u0438\u0442\u0438\u044f \u0432\u043a\u043b\u044e\u0447\u0430\u044e\u0442 \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043d\u0438\u0435 \u043c\u0435\u0442\u043e\u0434\u0430 \u043d\u0430 \u043c\u043d\u043e\u0433\u043e\u043c\u0435\u0440\u043d\u044b\u0435 \u0438 \u043d\u0435\u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0435 \u043c\u043e\u0434\u0435\u043b\u0438, \u0430 \u0442\u0430\u043a\u0436\u0435 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u0435 \u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u044b\u0445 \u0440\u043e\u0431\u0430\u0441\u0442\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u043f\u043e\u0442\u0435\u0440\u044c.<\/p>\n\n\n\n

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\u041a\u043b\u044e\u0447\u0435\u0432\u044b\u0435 \u0441\u043b\u043e\u0432\u0430<\/strong>: <\/em>\u044d\u0432\u0440\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b, Particle Swarm Optimization (PSO), Jaya, \u0432\u044b\u0431\u0440\u043e\u0441\u044b, \u0440\u043e\u0431\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u044c, \u043b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f, \u041c-\u0441\u0440\u0435\u0434\u043d\u0438\u0435, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0425\u044c\u044e\u0431\u0435\u0440\u0430, \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u044f<\/p>\n\n\n\n

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\u0414\u043b\u044f \u0446\u0438\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f.<\/strong> \u041a\u0430\u0437\u0430\u043a\u043e\u0432\u0430 \u0415. \u041c. \u0420\u043e\u0431\u0430\u0441\u0442\u043d\u0430\u044f \u043c\u043e\u0434\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u044f PSO \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 M-\u0441\u0440\u0435\u0434\u043d\u0438\u0445 \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u0447 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \/\/ \u0418\u0437\u0432\u0435\u0441\u0442\u0438\u044f \u041a\u0430\u0431\u0430\u0440\u0434\u0438\u043d\u043e-\u0411\u0430\u043b\u043a\u0430\u0440\u0441\u043a\u043e\u0433\u043e \u043d\u0430\u0443\u0447\u043d\u043e\u0433\u043e \u0446\u0435\u043d\u0442\u0440\u0430 \u0420\u0410\u041d. 2025. \u0422. 27. \u2116 6. \u0421. 109\u2013116. DOI: 10.35330\/1991-6639-2025-27-6-109-116<\/p>\n\n\n\n

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\u0421\u043f\u0438\u0441\u043e\u043a \u043b\u0438\u0442\u0435\u0440\u0430\u0442\u0443\u0440\u044b<\/strong><\/summary>\n
    \n
  1. Kennedy J., Eberhart R. <\/em>Particle swarm optimization. Proc. IEEE Int. Conf. on Neural Networks (ICNN). 1995. Pp. 1942\u20131948. DOI: 10.1109\/ICNN.1995.488968<\/li>\n\n\n\n
  2. Rao R.<\/em> Jaya: A simple and new optimization algorithm for solving constrained and unconstrained optimization problems. Int. J. Indus. Eng. Comput. 2016. Vol. 1. No. 7. Pp. 19\u201334. DOI: 10.5267\/j.ijiec.2015.8.004<\/li>\n\n\n\n
  3. Shibzukhov Z.M.<\/em> On a robust gradient boosting scheme based on aggregation functions insensitive to outliers. Automation and Remote Control. 2022. Vol. 83. No. 10. Pp. 1619\u20131629. DOI: 10.1134\/S00051179220100149<\/li>\n\n\n\n
  4. \u0428\u0438\u0431\u0437\u0443\u0445\u043e\u0432 \u0417. \u041c., \u0414\u0438\u043c\u0438\u0442\u0440\u0438\u0447\u0435\u043d\u043a\u043e \u0414. \u041f., \u041a\u0430\u0437\u0430\u043a\u043e\u0432 \u041c. \u0410.<\/em> \u041f\u0440\u0438\u043d\u0446\u0438\u043f \u043c\u0438\u043d\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438 \u044d\u043c\u043f\u0438\u0440\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0440\u0438\u0441\u043a\u0430 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u0430\u0433\u0440\u0435\u0433\u0438\u0440\u0443\u044e\u0449\u0438\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0441\u0440\u0435\u0434\u043d\u0438\u0445 \u043f\u043e\u0442\u0435\u0440\u044c \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u0447 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \/\/ \u041f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u043d\u044b\u0435 \u043f\u0440\u043e\u0434\u0443\u043a\u0442\u044b \u0438 \u0441\u0438\u0441\u0442\u0435\u043c\u044b. 2017. \u0422. 30. \u2116 2. \u0421. 180\u2013186. DOI: 10.15827\/0236-235X.030.2.180-186<\/li>\n\n\n\n
  5. Zeng J., Yu X., Yang G., Gui H.<\/em> Dynamic robust particle swarm optimization algorithm based on hybrid strategy. International Journal of Swarm Intelligence Research (IJSIR). 2023. Vol. 14. No. 1. Pp. 1\u201314. DOI: 10.4018\/IJSIR.325006<\/li>\n\n\n\n
  6. Garg H.<\/em> A hybrid PSO\u2013GA algorithm for constrained optimization problems. Applied Mathematics and Computation. 2016. Vol. 274. Pp. 292\u2013305. DOI: 10.1016\/j.amc.2015.11.001<\/li>\n\n\n\n
  7. \u015eenel F.A., G\u00f6k\u00e7e F., Y\u00fcksel A.S., Yigit T.<\/em> A novel hybrid PSO\u2013GWO algorithm for optimization problems. Engineering with Computers. 2019. Vol. 35. Pp. 1359\u20131373. DOI: 10.1007\/s00366-018-0668-5<\/li>\n\n\n\n
  8. Kang H., Li X., Shen Yo. et al<\/em>. Particle swarm optimization with historical return decay enhances cooperation in public goods games with investment risks. Chaos, Solitons & Fractals. Vol. 189. P. 115665. DOI: 10.1016\/j.chaos.2024.115665<\/li>\n\n\n\n
  9. \u041a\u0430\u0437\u0430\u043a\u043e\u0432\u0430 \u0415. \u041c.<\/em> \u0413\u0438\u0431\u0440\u0438\u0434\u043d\u044b\u0439 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c PSO\u2013Jaya \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0445 \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u043e\u043d\u043d\u044b\u0445 \u0437\u0430\u0434\u0430\u0447 \/\/ \u041f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u043d\u0430\u044f \u0438\u043d\u0436\u0435\u043d\u0435\u0440\u0438\u044f. 2024. \u0422. 15. \u2116 2. \u0421. 87\u201396. DOI: 10.17587\/prin.15.87-96<\/li>\n\n\n\n
  10. Huber P.J.<\/em> Robust Statistics: monograph. New York: Wiley, 1981. 308 p. ISBN: 0-471-41805-6<\/li>\n<\/ol>\n\n\n\n

    <\/p>\n<\/details>\n\n\n\n

    \u0418\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u044f \u043e\u0431 \u0430\u0432\u0442\u043e\u0440\u0435<\/strong><\/summary>\n

    \u041a\u0430\u0437\u0430\u043a\u043e\u0432\u0430 \u0415\u043b\u0435\u043d\u0430 \u041c\u0443\u0441\u043e\u0432\u043d\u0430<\/strong>, \u043c\u043b. \u043d\u0430\u0443\u0447. \u0441\u043e\u0442\u0440. \u043e\u0442\u0434\u0435\u043b\u0430 \u043d\u0435\u0439\u0440\u043e\u0438\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0438 \u0438 \u043c\u0430\u0448\u0438\u043d\u043d\u043e\u0433\u043e \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u044f, \u0418\u043d\u0441\u0442\u0438\u0442\u0443\u0442 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u043d\u043e\u0439 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 \u0438 \u0430\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0438\u0438 \u2013 \u0444\u0438\u043b\u0438\u0430\u043b \u041a\u0430\u0431\u0430\u0440\u0434\u0438\u043d\u043e-\u0411\u0430\u043b\u043a\u0430\u0440\u0441\u043a\u043e\u0433\u043e \u043d\u0430\u0443\u0447\u043d\u043e\u0433\u043e \u0446\u0435\u043d\u0442\u0440\u0430 \u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u043e\u0439 \u0430\u043a\u0430\u0434\u0435\u043c\u0438\u0438 \u043d\u0430\u0443\u043a;
    360000, \u0420\u043e\u0441\u0441\u0438\u044f, \u0433. \u041d\u0430\u043b\u044c\u0447\u0438\u043a, \u0443\u043b. \u0428\u043e\u0440\u0442\u0430\u043d\u043e\u0432\u0430, 89 \u0410;
    shogenovae@inbox.ru, ORCID: https:\/\/orcid.org\/0000-0002-5819-9396, SPIN-\u043a\u043e\u0434: 4135-3315<\/p>\n\n\n\n

    <\/p>\n\n\n\n

    <\/p>\n<\/details>\n\n\n\n

    <\/p>\n","protected":false},"excerpt":{"rendered":"

    \u0420\u043e\u0431\u0430\u0441\u0442\u043d\u0430\u044f \u043c\u043e\u0434\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u044f PSO \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 M-\u0441\u0440\u0435\u0434\u043d\u0438\u0445 \u0434\u043b\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u0447 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0415. \u041c. \u041a\u0430\u0437\u0430\u043a\u043e\u0432\u0430 \u0417\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044c \u043f\u043e\u043b\u043d\u044b\u0439 \u0442\u0435\u043a\u0441\u0442 \u0410\u043d\u043d\u043e\u0442\u0430\u0446\u0438\u044f. \u041b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u043e\u0441\u0442\u0430\u0435\u0442\u0441\u044f \u043e\u0434\u043d\u0438\u043c \u0438\u0437 \u0431\u0430\u0437\u043e\u0432\u044b\u0445 \u0438\u043d\u0441\u0442\u0440\u0443\u043c\u0435\u043d\u0442\u043e\u0432 \u0430\u043d\u0430\u043b\u0438\u0437\u0430 \u0434\u0430\u043d\u043d\u044b\u0445, \u043e\u0434\u043d\u0430\u043a\u043e \u0435\u0435 \u0443\u0441\u0442\u043e\u0439\u0447\u0438\u0432\u043e\u0441\u0442\u044c \u0440\u0435\u0437\u043a\u043e \u0441\u043d\u0438\u0436\u0430\u0435\u0442\u0441\u044f \u0432 \u043f\u0440\u0438\u0441\u0443\u0442\u0441\u0442\u0432\u0438\u0438 \u0432\u044b\u0431\u0440\u043e\u0441\u043e\u0432 \u0438 \u0448\u0443\u043c\u043e\u0432, \u0447\u0442\u043e \u043f\u0440\u0438\u0432\u043e\u0434\u0438\u0442 \u043a \u0438\u0441\u043a\u0430\u0436\u0435\u043d\u0438\u044e \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442\u043e\u0432 \u0438 \u0441\u043d\u0438\u0436\u0435\u043d\u0438\u044e \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0430 \u043f\u0440\u043e\u0433\u043d\u043e\u0437\u0430. \u041a\u043b\u0430\u0441\u0441\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u044d\u0432\u0440\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b \u043e\u043f\u0442\u0438\u043c\u0438\u0437\u0430\u0446\u0438\u0438, \u0442\u0430\u043a\u0438\u0435 \u043a\u0430\u043a Particle Swarm Optimization […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-5622","page","type-page","status-publish","hentry"],"yoast_head":"\n27.6.9 - 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