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Teoriya Veroyatnostei i ee Primeneniya, 1997, Volume 42, Issue 1, Pages 179–184
DOI: https://doi.org/10.4213/tvp1719 (Mi tvp1719) 		 
Short Communications

Short communication:on the invariance of stationary probabilities of states of a closed star-shaped queueing network with state-dependent transition probabilities

V. A. Ivnitskii

Research Institute of Railway Transport
Full-text PDF (365 kB)
DOI: https://doi.org/10.4213/tvp1719
Abstract: For a closed star-shaped queueing network with arbitrary distributions of service times in queueing systems (QS) in nodes of the network under some constraints on the form of dependence of transition probabilities for customers from the central QS to the rest and a sufficient number of service channels in each QS that queues should not arise, we establish the invariance of stationary probabilities of states with respect to the functional form of distributions of service times for their fixed expectations.
Keywords: central queueing system, outer queueing systems, closed star-shaped queueing network, arbitrary distributions of serving times, independence of stationary probabilities of states of the network.
Received: 11.04.1994
English version:
Theory of Probability and its Applications, 1998, Volume 42, Issue 1, Pages 162–167
DOI: https://doi.org/10.1137/S0040585X97976003
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Ivnitskii, “Short communication:on the invariance of stationary probabilities of states of a closed star-shaped queueing network with state-dependent transition probabilities”, Teor. Veroyatnost. i Primenen., 42:1 (1997), 179–184; Theory Probab. Appl., 42:1 (1998), 162–167
Citation in format AMSBIB
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\paper Short communication:on the invariance of stationary probabilities of states of a~closed star-shaped queueing network with state-dependent transition probabilities
\jour Teor. Veroyatnost. i Primenen.
\yr 1997
\vol 42
\issue 1
\pages 179--184
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\crossref{https://doi.org/10.4213/tvp1719}
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\zmath{https://zbmath.org/?q=an:0910.60065}
\transl
\jour Theory Probab. Appl.
\yr 1998
\vol 42
\issue 1
\pages 162--167
\crossref{https://doi.org/10.1137/S0040585X97976003}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000073918900014}
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  • https://www.mathnet.ru/eng/tvp/v42/i1/p179
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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