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

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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. Zeifman^abc, Ya. A. Satin^a, A. V. Korotysheva^a, N. A. Tereshina^a

^a Vologda State Pedagogical University
^b Institute for Problems of Informatics RAS
^c Vologda of Science-Coordination CEMI RAS

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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:

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