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Dal'nevostochnyi Matematicheskii Zhurnal, 2016, Volume 16, Number 2, Pages 223–228 (Mi dvmg335)  
This article is cited in 2 scientific papers (total in 2 papers)

Stationary flows in acyclic queuing networks

G. Sh. Tsitsiashviliab, M. A. Osipovaab

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
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Abstract: In this paper an open acyclic queuing network with exponentially distributed service times is considered. Using a transformation of this network to a network of multiphase type it is proved that its flows are Poisson and some of these flows are independent. Applications to systems with retrial queues are described.
Key words: an acyclic queuing network, a queuing network of multiphase type, a sham node, Poisson flows, a stationary regime.
Received: 10.10.2016
Bibliographic databases:
Document Type: Article
UDC: 519.178, 519.218.5
MSC: Primary 05C20; Secondary 60G55
Language: Russian
Citation: G. Sh. Tsitsiashvili, M. A. Osipova, “Stationary flows in acyclic queuing networks”, Dal'nevost. Mat. Zh., 16:2 (2016), 223–228
Citation in format AMSBIB
\Bibitem{TsiOsi16}
\by G.~Sh.~Tsitsiashvili, M.~A.~Osipova
\paper Stationary flows in acyclic queuing networks
\jour Dal'nevost. Mat. Zh.
\yr 2016
\vol 16
\issue 2
\pages 223--228
\mathnet{http://mi.mathnet.ru/dvmg335}
\elib{https://elibrary.ru/item.asp?id=27701006}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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