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Problemy Peredachi Informatsii, 2008, Volume 44, Issue 4, Pages 109–119
(Mi ppi1292)
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This article is cited in 4 scientific papers (total in 4 papers)
Communication Network Theory
Limiting Distributions in Queueing Networks with Unreliable Elements
G. Sh. Tsitsiashvili, M. A. Osipova Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
We consider multichannel systems and open queueing networks with unreliable elements: nodes, paths between nodes, and channels at nodes. Computation of limiting distributions in a product form for these models is based on choosing recovery schemes for unreliable elements (independent recovery, recovery at a single site, recovering network scheme), routing algorithms, and service disciplines. Thus, by introducing a certain control, we constructively relate queueing theory with reliability theory. Results of the paper can be transferred to closed networks almost without changes.
Received: 04.04.2006 Revised: 23.05.2008
Citation:
G. Sh. Tsitsiashvili, M. A. Osipova, “Limiting Distributions in Queueing Networks with Unreliable Elements”, Probl. Peredachi Inf., 44:4 (2008), 109–119; Problems Inform. Transmission, 44:4 (2008), 385–394
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https://www.mathnet.ru/eng/ppi1292 https://www.mathnet.ru/eng/ppi/v44/i4/p109
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Abstract page: | 407 | Full-text PDF : | 98 | References: | 42 | First page: | 9 |
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