Retrial queue MMPP/M/1 with server switching K. Khadzhi-Ogly, R. Salimzyanov, E. A. Fedorova
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ArticleContent type: Текст Media type: электронный Subject(s): система массового обслуживания с повторными вызовами | асимптотический анализ | переключение серверовGenre/Form: статьи в сборниках Online resources: Click here to access online
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Information Technologies and Mathematical Modelling. Queueing Theory and Applications : 21st International Conference, ITMM 2022, Karshi, Uzbekistan, October 25-29, 2022 : revised selected papers P. 80-91Abstract: In the paper, we study a retrial queueing system with one server with switching, where a service rate depends on the number of customers in the orbit (it has two values). The arrival process of customers is MMPP, the delay time in the orbit is distributed exponentially. To find the stationary distribution of the number of customers in the orbit, the method of the asymptotic analysis is proposed under the condition of a heavy load. It is proved that the asymptotic characteristic function has the gamma distribution form. The numerical analysis of obtained results is carried out.
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In the paper, we study a retrial queueing system with one server with switching, where a service rate depends on the number of customers in the orbit (it has two values). The arrival process of customers is MMPP, the delay time in the orbit is distributed exponentially. To find the stationary distribution of the number of customers in the orbit, the method of the asymptotic analysis is proposed under the condition of a heavy load. It is proved that the asymptotic characteristic function has the gamma distribution form. The numerical analysis of obtained results is carried out.
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