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JOURNALS // Problemy Peredachi Informatsii // Archive

Probl. Peredachi Inf., 2008 Volume 44, Issue 4, Pages 109–119 (Mi ppi1292)

This article is cited 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.

UDC: 621.394/395.74:519.2

Received: 04.04.2006
Revised: 23.05.2008


 English version:
Problems of Information Transmission, 2008, 44:4, 385–394

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