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Problemy Peredachi Informatsii, 2009, Volume 45, Issue 3, Pages 85–97
(Mi ppi1992)
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This article is cited in 10 scientific papers (total in 10 papers)
Communication Network Theory
The $MAP/M/N$ retrial queueing system with time-phased batch arrivals
S. A. Dudin Belarusian State University, Minsk
Abstract:
We consider a retrial queueing system with batch arrival of customers. Unlike standard batch arrival, where a whole batch enters the system simultaneously, we assume that customers of a batch (session) arrive one by one in exponentially distributed time intervals. Service time is exponentially distributed. The batch arrival flow is MAP. The number of customers in a session is geometrically distributed. The number of sessions that can enter the system simultaneously is a control parameter. We analyze the joint probability distribution of the number of sessions and customers in the system using the techniques of multidimensional asymptotically quasi-Toeplitz Markov chains.
Received: 12.11.2008 Revised: 25.04.2009
Citation:
S. A. Dudin, “The $MAP/M/N$ retrial queueing system with time-phased batch arrivals”, Probl. Peredachi Inf., 45:3 (2009), 85–97; Problems Inform. Transmission, 45:3 (2009), 270–281
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https://www.mathnet.ru/eng/ppi1992 https://www.mathnet.ru/eng/ppi/v45/i3/p85
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Abstract page: | 366 | Full-text PDF : | 98 | References: | 44 | First page: | 21 |
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