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Avtomatika i Telemekhanika, 1988, Issue 2, Pages 108–118 (Mi at6560)  
This article is cited in 2 scientific papers (total in 2 papers)

Queuing Systems

Multiplicity of a stationary state distribution for one kind of bulk service networks

Yu. V. Malinkovskii

Gomel
Full-text PDF (1545 kB) Citations (2)
Abstract: The range of bulk service networks under discussion includes Jackson networks with servers of various rates in every node and networks having reserve servers. For open network a necessary and sufficient and for closed network, a sufficient condition are obtained for representability of stationary state distribution as a product of factors characterizing individual nodes. For nodes where this condition holds the output flows are proved to be Poisson.

Received: 11.11.1986
Bibliographic databases:
Document Type: Article
UDC: 65.012.122
Language: Russian
Citation: Yu. V. Malinkovskii, “Multiplicity of a stationary state distribution for one kind of bulk service networks”, Avtomat. i Telemekh., 1988, no. 2, 108–118; Autom. Remote Control, 49:2 (1988), 208–216
Citation in format AMSBIB
\Bibitem{Mal88}
\by Yu.~V.~Malinkovskii
\paper Multiplicity of a stationary state distribution for one kind of bulk service networks
\jour Avtomat. i Telemekh.
\yr 1988
\issue 2
\pages 108--118
\mathnet{http://mi.mathnet.ru/at6560}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=940269}
\zmath{https://zbmath.org/?q=an:0666.60095}
\transl
\jour Autom. Remote Control
\yr 1988
\vol 49
\issue 2
\pages 208--216
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  • https://www.mathnet.ru/eng/at/y1988/i2/p108
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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