Asymptotic analysis of M[n]/M/1 RQ-system with feedback and batch Poisson arrival A. A. Nazarov, S. V. Rozhkova, E. Yu. Titarenko
Material type:
ArticleContent type: Текст Media type: электронный Subject(s): системы массового обслуживания | обратная связь | асимптотический анализ | RQ-системаGenre/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. 380-387Abstract: The paper studies the M[”]/M/1 RQ-system with batch Poisson arrival. Customers for system come in groups. Every moment in time no more than one customer is served, others go into orbit. Having been served, the customer leaves the system or goes to re-service or into orbit. An asymptotic analysis method is used to find the stationary distribution of the number of customers in the orbit. A long delay between customers from the orbit is proposed as an asymptotic condition.
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The paper studies the M[”]/M/1 RQ-system with batch Poisson arrival. Customers for system come in groups. Every moment in time no more than one customer is served, others go into orbit. Having been served, the customer leaves the system or goes to re-service or into orbit. An asymptotic analysis method is used to find the stationary distribution of the number of customers in the orbit. A long delay between customers from the orbit is proposed as an asymptotic condition.
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