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Informatika i Ee Primeneniya [Informatics and its Applications], 2009, Volume 3, Issue 3, Pages 16–22
(Mi ia65)
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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
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.
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
Linking options:
https://www.mathnet.ru/eng/ia65 https://www.mathnet.ru/eng/ia/v3/i3/p16
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Abstract page: | 345 | Full-text PDF : | 85 | References: | 49 | First page: | 1 |
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