Scaling limits of a tandem retrial queue with common orbit and Poisson arrival process A. A. Nazarov, S. V. Paul, T. Phung-Duc, M. A. Morozova
Material type:
ArticleContent type: Текст Media type: электронный Subject(s): Гаусса приближение | пуассоновский процесс | метод асимптотического анализа | тандемные системы массового обслуживанияGenre/Form: статьи в сборниках Online resources: Click here to access online
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Распределенные компьютерные и телекоммуникационные сети: управление, вычисление, связь DCCN-2021 [Электронный ресурс] : материалы XXIV Международной научной конференции (20-24 сентября 2021 г., Москва, Россия) С. 315-321Abstract: In this paper, we consider a tandem queueing system with one orbit, Poisson arrival process of incoming calls and two sequentially connected servers by a method of asymptotic analysis under the steady-state regime. Under the condition that the average delay time of calls in the orbit is extremely large, we obtain the limiting probability distribution of the number of calls there. Then we evaluate the applicability of asymptotic results by the simulation.
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In this paper, we consider a tandem queueing system with one orbit, Poisson arrival process of incoming calls and two sequentially connected servers by a method of asymptotic analysis under the steady-state regime. Under the condition that the average delay time of calls in the orbit is extremely large, we obtain the limiting probability distribution of the number of calls there. Then we evaluate the applicability of asymptotic results by the simulation.
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