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Dal'nevostochnyi Matematicheskii Zhurnal, 2018, Volume 18, Number 2, Pages 267–270 (Mi dvmg388)  
This article is cited in 1 scientific paper (total in 1 paper)

Invariant properties of queuing systems with multiple flows

G. Sh. Tsitsiashvili

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
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Abstract: It is proved that in a single-server queuing system with exponentially distributed service time and intervals between the arrivals of customers, the stationary output flows coincide in distribution with independent Poisson input flows, provided that the server works if there are customers in the system.
Key words: queuing system with multiple flows, ergodicity, service discipline.
Received: 24.07.2018
Document Type: Article
UDC: 519.218.5
MSC: 60J27
Language: Russian
Citation: G. Sh. Tsitsiashvili, “Invariant properties of queuing systems with multiple flows”, Dal'nevost. Mat. Zh., 18:2 (2018), 267–270
Citation in format AMSBIB
\Bibitem{Tsi18}
\by G.~Sh.~Tsitsiashvili
\paper Invariant properties of queuing systems with multiple flows
\jour Dal'nevost. Mat. Zh.
\yr 2018
\vol 18
\issue 2
\pages 267--270
\mathnet{http://mi.mathnet.ru/dvmg388}
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  • https://www.mathnet.ru/eng/dvmg/v18/i2/p267
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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