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Problemy Peredachi Informatsii, 2013, Volume 49, Issue 2, Pages 78–91
(Mi ppi2110)
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This article is cited in 17 scientific papers (total in 17 papers)
Communication Network Theory
Analysis of an open non-Markovian $GI-(GI\mid\infty)^K$ queueing network with high-rate renewal arrival process
A. A. Nazarov, A. N. Moiseev Tomsk State University
Abstract:
We analyze an open non-Markovian queueing network with high-rate renewal arrival process, Markovian routing, arbitrary service policy, and unlimited number of servers at nodes. We obtain mean values for the number of busy servers at nodes of the queueing network in question. We show that, under an infinitely increasing arrival rate, the multivariate distribution of the number of busy servers at network nodes can be approximated by a multivariate normal distribution; we find parameters of this distribution.
Received: 10.08.2012 Revised: 10.01.2013
Citation:
A. A. Nazarov, A. N. Moiseev, “Analysis of an open non-Markovian $GI-(GI\mid\infty)^K$ queueing network with high-rate renewal arrival process”, Probl. Peredachi Inf., 49:2 (2013), 78–91; Problems Inform. Transmission, 49:2 (2013), 167–178
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https://www.mathnet.ru/eng/ppi2110 https://www.mathnet.ru/eng/ppi/v49/i2/p78
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Abstract page: | 554 | Full-text PDF : | 116 | References: | 59 | First page: | 34 |
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