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Informatika i Ee Primeneniya [Informatics and its Applications], 2011, Volume 5, Issue 4, Pages 6–17 (Mi ia166)  

This article is cited in 2 scientific papers (total in 2 papers)

Discrete time queueing system with unreliable server

A. V. Pechinkin, I. A. Sokolov

Institute for Problems of Informatics of RAS
Full-text PDF (219 kB) Citations (2)
References:
Abstract: Consideration is given to the discrete time queueing system $\mathrm{Geo}/\mathrm{G}/1/\infty$ with server subject to two types of breakdowns. The server can break down either when it is busy or when it is idle, which happens with different probabilities. Repair time distribution depends on the type of the breakdown. Expressions for the stationary probability distribution and other main stationary characteristics are given. It is shown how the obtained results can be used to find some stationary characteristics of $\vec{\mathrm{Geo}}_2/\vec{\mathrm{G}}_2/1/\infty$ with two types of customers and preemptive priority.
Keywords: queueing system; discrete time; unreliable server; breakdowns.
Document Type: Article
Language: Russian
Citation: A. V. Pechinkin, I. A. Sokolov, “Discrete time queueing system with unreliable server”, Inform. Primen., 5:4 (2011), 6–17
Citation in format AMSBIB
\Bibitem{PecSok11}
\by A.~V.~Pechinkin, I.~A.~Sokolov
\paper Discrete time queueing system with unreliable server
\jour Inform. Primen.
\yr 2011
\vol 5
\issue 4
\pages 6--17
\mathnet{http://mi.mathnet.ru/ia166}
Linking options:
  • https://www.mathnet.ru/eng/ia166
  • https://www.mathnet.ru/eng/ia/v5/i4/p6
  • 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
    Информатика и её применения
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    References:67
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