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Informatika i Ee Primeneniya [Informatics and its Applications], 2009, Volume 3, Issue 3, Pages 16–22 (Mi ia65)  

This article is cited in 3 scientific papers (total in 3 papers)

On the limiting characteristics for $M(t)/M(t)/S$ queue with catastrophes

A. I. Zeifmanabc, Ya. A. Satina, A. V. Korotyshevaa, N. A. Tereshinaa

a Vologda State Pedagogical University
b Institute for Problems of Informatics RAS
c Vologda of Science-Coordination CEMI RAS
Full-text PDF (448 kB) Citations (3)
References:
Abstract: An $M(t)/M(t)/S$ queue with catastrophes is considered and it is supposed that the catastrophes rates depend on the length of the queue. Sufficient conditions for weak ergodicity of the respective queue-length process and the respective bounds are obtained. Some examples are also considered.
Keywords: nonstationary Markovian queueing system; birth and death process with catastrophes; weak ergodicity; bounds; limiting characteristics; approximation.
Document Type: Article
Language: Russian
Citation: A. I. Zeifman, Ya. A. Satin, A. V. Korotysheva, N. A. Tereshina, “On the limiting characteristics for $M(t)/M(t)/S$ queue with catastrophes”, Inform. Primen., 3:3 (2009), 16–22
Citation in format AMSBIB
\Bibitem{ZeiSatKor09}
\by A.~I.~Zeifman, Ya.~A.~Satin, A.~V.~Korotysheva, N.~A.~Tereshina
\paper On the limiting characteristics for $M(t)/M(t)/S$ queue with catastrophes
\jour Inform. Primen.
\yr 2009
\vol 3
\issue 3
\pages 16--22
\mathnet{http://mi.mathnet.ru/ia65}
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  • https://www.mathnet.ru/eng/ia65
  • https://www.mathnet.ru/eng/ia/v3/i3/p16
  • This publication is cited in the following 3 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:49
    First page:1
     
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