{"id":26161,"date":"2024-02-24T11:52:02","date_gmt":"2024-02-24T12:52:02","guid":{"rendered":"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d9%85%d8%af%d9%84-%d8%b3%d8%a7%d8%b2%db%8c-%da%af%d8%b1%d9%85%d8%b3%db%8c%d8%b1%db%8c-%d8%a7%db%8c%d8%b3%d8%aa%da%af%d8%a7%d9%87-%d8%aa%d8%b9%d9%88%db%8c%d8%b6-%d8%a8\/"},"modified":"2024-02-24T11:52:04","modified_gmt":"2024-02-24T12:52:04","slug":"%d9%85%d9%82%d8%a7%d9%84%d9%87-%d9%85%d8%af%d9%84-%d8%b3%d8%a7%d8%b2%db%8c-%da%af%d8%b1%d9%85%d8%b3%db%8c%d8%b1%db%8c-%d8%a7%db%8c%d8%b3%d8%aa%da%af%d8%a7%d9%87-%d8%aa%d8%b9%d9%88%db%8c%d8%b6-%d8%a8","status":"publish","type":"product","link":"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%d9%85%d8%af%d9%84-%d8%b3%d8%a7%d8%b2%db%8c-%da%af%d8%b1%d9%85%d8%b3%db%8c%d8%b1%db%8c-%d8%a7%db%8c%d8%b3%d8%aa%da%af%d8%a7%d9%87-%d8%aa%d8%b9%d9%88%db%8c%d8%b6-%d8%a8\/","title":{"rendered":"\u0645\u0642\u0627\u0644\u0647 \u0645\u062f\u0644 \u0633\u0627\u0632\u06cc \u06af\u0631\u0645\u0633\u06cc\u0631\u06cc \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u062a\u0639\u0648\u06cc\u0636 \u0628\u0627\u062a\u0631\u06cc \u0648 \u0634\u0627\u0631\u0698"},"content":{"rendered":"<table class=\"table table-striped table-hover\">\n<tbody>\n<tr>\n<td>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\n<td>Tropical modeling of battery swapping and charging station<\/td>\n<\/tr>\n<tr>\n<td>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc <\/td>\n<td>\u0645\u0642\u0627\u0644\u0647 \u0645\u062f\u0644 \u0633\u0627\u0632\u06cc \u06af\u0631\u0645\u0633\u06cc\u0631\u06cc \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u062a\u0639\u0648\u06cc\u0636 \u0628\u0627\u062a\u0631\u06cc \u0648 \u0634\u0627\u0631\u0698<\/td>\n<\/tr>\n<tr>\n<td>\u0646\u0648\u06cc\u0633\u0646\u062f\u06af\u0627\u0646 <\/td>\n<td>N. Krivulin, A. Garg<\/td>\n<\/tr>\n<tr>\n<td>\u0632\u0628\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 <\/td>\n<td>\u0627\u0646\u06af\u0644\u06cc\u0633\u06cc<\/td>\n<\/tr>\n<tr>\n<td>\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647: <\/td>\n<td>PDF<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a<\/td>\n<td>16<\/td>\n<\/tr>\n<tr>\n<td>\u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0645\u0648\u0636\u0648\u0639\u0627\u062a  <\/td>\n<td>Optimization and Control,Systems and Control,\u0628\u0647\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc \u0648 \u06a9\u0646\u062a\u0631\u0644 \u060c \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627 \u0648 \u06a9\u0646\u062a\u0631\u0644 \u060c<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0648\u0636\u06cc\u062d\u0627\u062a    <\/td>\n<td>Submitted 17 January, 2024; originally announced January 2024. , Comments: 16 pages, 1 figure , MSC Class: 15A80 (Primary); 60K30; 90B22 (Secondary)<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc    <\/td>\n<td>\u0627\u0631\u0633\u0627\u0644 \u0634\u062f\u0647 17 \u0698\u0627\u0646\u0648\u06cc\u0647 2024 \u061b\u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u0698\u0627\u0646\u0648\u06cc\u0647 2024 \u0627\u0639\u0644\u0627\u0645 \u0634\u062f \u060c \u0646\u0638\u0631\u0627\u062a: 16 \u0635\u0641\u062d\u0647 \u060c 1 \u0634\u06a9\u0644 \u060c \u06a9\u0644\u0627\u0633 MSC: 15A80 (\u0627\u0648\u0644\u06cc\u0647) \u061b60K30 \u061b90B22 (\u062b\u0627\u0646\u0648\u06cc\u0647)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0686\u06a9\u06cc\u062f\u0647<\/h2>\n<p style=\"direction:ltr;\">We consider a queueing model of a battery swapping and charging station (BSCS) for electric vehicles. We describe the dynamics of the model by a system of recurrence equations that involve random variables, and define a performance measure for the model as the mean operation cycle time of the station. Furthermore, the system of equations is represented in terms of tropical algebra in vector form as an implicit linear state dynamic equation. The performance measure takes the form of the mean growth rate of the state vector (the Lyapunov exponent). By applying methods and techniques of tropical algebra, we first transform the implicit equation into an explicit one with a state transition matrix with random entries, and then obtain the Lyapunov exponent as the limit of the expected value of norm of matrix products. We discuss application of the obtained result to evaluate the performance of one BSCS, and to find optimal distribution of batteries between stations in a network of BSCSs.<\/p>\n<h2>\u0686\u06a9\u06cc\u062f\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc (\u062a\u0631\u062c\u0645\u0647 \u0645\u0627\u0634\u06cc\u0646\u06cc)<\/h2>\n<p>\u0645\u0627 \u06cc\u06a9 \u0645\u062f\u0644 \u0635\u0641 \u0627\u0632 \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u062a\u0639\u0648\u06cc\u0636 \u0628\u0627\u062a\u0631\u06cc \u0648 \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u0634\u0627\u0631\u0698 (BSC) \u0628\u0631\u0627\u06cc \u0648\u0633\u0627\u06cc\u0644 \u0646\u0642\u0644\u06cc\u0647 \u0628\u0631\u0642\u06cc \u0631\u0627 \u062f\u0631 \u0646\u0638\u0631 \u0645\u06cc \u06af\u06cc\u0631\u06cc\u0645.\u0645\u0627 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9 \u0645\u062f\u0644 \u0631\u0627 \u062a\u0648\u0633\u0637 \u06cc\u06a9 \u0633\u06cc\u0633\u062a\u0645 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0639\u0648\u062f \u06a9\u0647 \u0634\u0627\u0645\u0644 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u0627\u0633\u062a \u060c \u062a\u0648\u0635\u06cc\u0641 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u0648 \u06cc\u06a9 \u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u06cc\u0631\u06cc \u0639\u0645\u0644\u06a9\u0631\u062f \u0628\u0631\u0627\u06cc \u0645\u062f\u0644 \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0632\u0645\u0627\u0646 \u0686\u0631\u062e\u0647 \u0639\u0645\u0644\u06a9\u0631\u062f \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc \u06a9\u0646\u06cc\u0645.\u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646 \u060c \u0633\u06cc\u0633\u062a\u0645 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0632 \u0646\u0638\u0631 \u062c\u0628\u0631 \u06af\u0631\u0645\u0633\u06cc\u0631\u06cc \u062f\u0631 \u0641\u0631\u0645 \u0628\u0631\u062f\u0627\u0631 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u0645\u0639\u0627\u062f\u0644\u0647 \u067e\u0648\u06cc\u0627 \u062d\u0627\u0644\u062a \u062e\u0637\u06cc \u0636\u0645\u0646\u06cc \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.\u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u06cc\u0631\u06cc \u0639\u0645\u0644\u06a9\u0631\u062f \u0628\u0647 \u0634\u06a9\u0644 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0646\u0631\u062e \u0631\u0634\u062f \u0628\u0631\u062f\u0627\u0631 \u062d\u0627\u0644\u062a (\u0646\u0645\u0627\u06cc\u0646\u062f\u0647 Lyapunov) \u0627\u0633\u062a.\u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634 \u0647\u0627 \u0648 \u062a\u06a9\u0646\u06cc\u06a9 \u0647\u0627\u06cc \u062c\u0628\u0631 \u06af\u0631\u0645\u0633\u06cc\u0631\u06cc \u060c \u0627\u0628\u062a\u062f\u0627 \u0645\u0639\u0627\u062f\u0644\u0647 \u0636\u0645\u0646\u06cc \u0631\u0627 \u0628\u0627 \u06cc\u06a9 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0646\u062a\u0642\u0627\u0644 \u062d\u0627\u0644\u062a \u0628\u0627 \u0648\u0631\u0648\u062f\u06cc \u0647\u0627\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u0628\u0647 \u06cc\u06a9 \u0645\u0648\u0631\u062f \u0635\u0631\u06cc\u062d \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u0648 \u0633\u067e\u0633 \u0646\u0645\u0627\u06cc\u0646\u062f\u0647 Lyapunov \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u062d\u062f \u0645\u0648\u0631\u062f \u0627\u0646\u062a\u0638\u0627\u0631 \u0647\u0646\u062c\u0627\u0631 \u0645\u062d\u0635\u0648\u0644\u0627\u062a \u0645\u0627\u062a\u0631\u06cc\u0633 \u0628\u062f\u0633\u062a \u0645\u06cc \u0622\u0648\u0631\u06cc\u0645.\u0645\u0627 \u062f\u0631 \u0645\u0648\u0631\u062f \u06a9\u0627\u0631\u0628\u0631\u062f \u0646\u062a\u06cc\u062c\u0647 \u0628\u0647 \u062f\u0633\u062a \u0622\u0645\u062f\u0647 \u0628\u0631\u0627\u06cc \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0639\u0645\u0644\u06a9\u0631\u062f \u06cc\u06a9 BSC \u0648 \u06cc\u0627\u0641\u062a\u0646 \u062a\u0648\u0632\u06cc\u0639 \u0628\u0647\u06cc\u0646\u0647 \u0628\u0627\u062a\u0631\u06cc \u0628\u06cc\u0646 \u0627\u06cc\u0633\u062a\u06af\u0627\u0647 \u0647\u0627 \u062f\u0631 \u0634\u0628\u06a9\u0647 BSCS \u0628\u062d\u062b \u0645\u06cc \u06a9\u0646\u06cc\u0645.<\/p>\n<table class=\"table table-bordered table-primary\">\r\n<tr>\r\n\t<td>\r\n\t\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0632\u0628\u0627\u0646 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0627\u0633\u062a.\r\n\t<\/td>\r\n<\/tr>\r\n\t\r\n<tr>\r\n\t<td>\r\n     \u0628\u0631\u0627\u06cc \u0633\u0641\u0627\u0631\u0634 \u062a\u0631\u062c\u0645\u0647 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0628\u0647 \u06cc\u06a9\u06cc \u0627\u0632 \u0631\u0648\u0634 \u0647\u0627\u06cc \u062a\u0645\u0627\u0633\u060c \u067e\u06cc\u0627\u0645\u06a9\u060c \u062a\u0644\u06af\u0631\u0627\u0645 \u0648 \u06cc\u0627 \u0648\u0627\u062a\u0633 \u0627\u067e \u0628\u0627 \u0634\u0645\u0627\u0631\u0647 \u0632\u06cc\u0631 \u062a\u0645\u0627\u0633 \u0628\u06af\u06cc\u0631\u06cc\u062f:\r\n\t<br \/><br \/>\r\n\t09395106248\r\n\t\t\r\n\t\t\r\n\t<br \/><br \/>\r\n\t\t\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0634\u0631\u0627\u06cc\u0637 \u062a\u0631\u062c\u0645\u0647 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:\r\n\t\t<br \/>\r\n\t\t<ul>\r\n\t\t<li>\r\n\t\t\u0642\u06cc\u0645\u062a \u0647\u0631 \u0635\u0641\u062d\u0647 \u062a\u0631\u062c\u0645\u0647 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631 40 \u0647\u0632\u0627\u0631 \u062a\u0648\u0645\u0627\u0646 \u0645\u06cc \u0628\u0627\u0634\u062f. \r\n\t\t<\/li>\r\n\t\t<li>\r\n\t\t\u062a\u062d\u0648\u06cc\u0644 \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u062c\u0645\u0647 \u0634\u062f\u0647 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f \u0645\u06cc \u0628\u0627\u0634\u062f.\r\n\t\t<\/li>\r\n\t\t<li>\r\n\t\t\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647 \u062f\u0631 \u0635\u0648\u0631\u062a \u062f\u0627\u0634\u062a\u0646 \u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a \u0639\u0627\u062f\u06cc \u0628\u06cc\u0646 3 \u062a\u0627 5 \u0631\u0648\u0632 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.\r\n\t\t<\/li>\r\n\t\t\r\n\t\t<li>\r\n\t\t\u06a9\u06cc\u0641\u06cc\u062a \u062a\u0631\u062c\u0645\u0647 \u0628\u0633\u06cc\u0627\u0631 \u0628\u0627\u0644\u0627 \u0645\u06cc \u0628\u0627\u0634\u062f. \u0645\u0642\u0627\u0644\u0647 \u0641\u0642\u0637 \u062a\u0648\u0633\u0637 \u0645\u062a\u0631\u062c\u0645\u06cc\u0646 \u0628\u0627 \u0645\u062f\u0631\u06a9 \u062f\u0627\u0646\u0634\u06af\u0627\u0647\u06cc \u0645\u062a\u0631\u062c\u0645\u06cc \u062a\u0631\u062c\u0645\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.\r\n\t\t<\/li>\r\n\t\t<li>\r\n\t\t\u06a9\u0644\u06cc\u0647 \u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 \u0646\u06cc\u0632 \u062f\u0631 \u0641\u0627\u06cc\u0644 \u062a\u062d\u0648\u06cc\u0644\u06cc \u0648\u0631\u062f \u062f\u0631\u062c \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.\r\n\t\t<\/li>\r\n\t<\/td>\r\n\t\r\n\t\r\n<\/tr>\r\n<\/table>\r\n\r\n\r\n\n","protected":false},"excerpt":{"rendered":"<p>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc Tropical modeling of battery swapping and charging station \u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0645\u062f\u0644 \u0633\u0627\u0632\u06cc \u06af\u0631\u0645\u0633\u06cc\u0631\u06cc [&hellip;]<\/p>\n","protected":false},"featured_media":27,"comment_status":"open","ping_status":"closed","template":"","meta":{"pmpro_default_level":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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