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Avtomatika i Telemekhanika, 2012, Issue 5, Pages 57–70 (Mi at3802)  
This article is cited in 1 scientific paper (total in 1 paper)

Stochastic Systems, Queuing Systems

An asymptotic property of output streams in queueing systems with unbounded number of servers and a Markov arrival process

I. L. Lapatin, A. A. Nazarov

Tomsk State University, Tomsk, Russia
Full-text PDF (205 kB) Citations (1)
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Abstract: We study the outgoing stream of queueing systems with unbounded number of servers and a Markov arrival process. We consider models with exponential and arbitrary distributions of the service duration. For the case of arbitrary service duration, we propose the sieved stream method that reduces the study of the output stream to studying a sieved stream. We show that for growing service duration, the output stream is asymptotically a simple stream independent of the service duration distribution.
Presented by the member of Editorial Board: A. I. Lyakhov

Received: 15.03.2010
English version:
Automation and Remote Control, 2012, Volume 73, Issue 5, Pages 810–820
DOI: https://doi.org/10.1134/S0005117912050050
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. L. Lapatin, A. A. Nazarov, “An asymptotic property of output streams in queueing systems with unbounded number of servers and a Markov arrival process”, Avtomat. i Telemekh., 2012, no. 5, 57–70; Autom. Remote Control, 73:5 (2012), 810–820
Citation in format AMSBIB
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\paper An asymptotic property of output streams in queueing systems with unbounded number of servers and a~Markov arrival process
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\issue 5
\pages 57--70
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\transl
\jour Autom. Remote Control
\yr 2012
\vol 73
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\pages 810--820
\crossref{https://doi.org/10.1134/S0005117912050050}
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  • https://www.mathnet.ru/eng/at/y2012/i5/p57
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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