Retrial queue M/M/N with impatient customer in the orbit E. Danilyuk, O. Vygovskaya, S. P. Moiseeva
Material type:
ArticleContent type: Текст Media type: электронный Subject(s): системы масового обслуживания с конечным источником повторных вызовов | асимптотический анализ | пуассоновский поток событийGenre/Form: статьи в сборниках Online resources: Click here to access online
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Distributed computer and communication networks : 21st International Conference, DCCN 2018, Moscow, Russia, September 17-21, 2018 : proceedings P. 493-504Abstract: In the paper, the retrial queueing system of M/M/N type with Poisson flow of events and impatient calls is considered. The delay time of calls in the orbit, the calls service time and the impatience time of calls in the system have exponential distribution. Asymptotic analysis method is proposed for the solving problem of finding distribution of the number of calls in the orbit under a system heavy load and long time patience of calls in the orbit condition. The theorem about the Gauss form of the asymptotic probability distribution of the number of calls in the orbit is formulated and proved. Numerical illustrations, results are also given.
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In the paper, the retrial queueing system of M/M/N type with Poisson flow of events and impatient calls is considered. The delay time of calls in the orbit, the calls service time and the impatience time of calls in the system have exponential distribution. Asymptotic analysis method is proposed for the solving problem of finding distribution of the number of calls in the orbit under a system heavy load and long time patience of calls in the orbit condition. The theorem about the Gauss form of the asymptotic probability distribution of the number of calls in the orbit is formulated and proved. Numerical illustrations, results are also given.
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