Asymptotic-diffusion analysis of multiserver retrial queue with two-way communication A. A. Nazarov, T. Phung-Duc, S. V. Paul, O. D. Lizyura
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ArticleContent type: Текст Media type: электронный Subject(s): диффузионное приближение | многосерверная очередь повторных вызовов с двусторонней связью | входящие вызовы | исходящие вызовыGenre/Form: статьи в сборниках Online resources: Click here to access online
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Распределенные компьютерные и телекоммуникационные сети: управление, вычисление, связь (DCCN-2020) [Электронный ресурс] : материалы XXIII Международной научной конференции (14-18 сентября 2020 г., Москва, Россия) С. 531-539Abstract: In this paper, we consider multiserver retrial queue with two-way communication. Incomimg calls arrive according to the Poisson process and reserve the server for an exponentially distributed time. If all of the servers are busy the incoming call joins the orbit and makes a delay for an exponentially distributed time before the next attempt to occupy the server. Idle servers also make outgoing calls following a distinct exponential distribution. Using the asymptotic-diffusion analysis method we derive the approximation for the stationary probability distribution of the number of calls in the orbit.
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In this paper, we consider multiserver retrial queue with two-way communication. Incomimg calls arrive according to the Poisson process and reserve the server for an exponentially distributed time. If all of the servers are busy the incoming call joins the orbit and makes a delay for an exponentially distributed time before the next attempt to occupy the server. Idle servers also make outgoing calls following a distinct exponential distribution. Using the asymptotic-diffusion analysis method we derive the approximation for the stationary probability distribution of the number of calls in the orbit.
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