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Avtomatika i Telemekhanika, 2012, Issue 10, Pages 32–41 (Mi at4080)  
This article is cited in 6 scientific papers (total in 6 papers)

Stochastic Systems, Queuing Systems

The stationary distribution invariance of states in a closed queueing network with temporarily non-active customers

Yu. S. Boyarovich

Francisk Skorina Gomel State University, Gomel, Belarus
Full-text PDF (183 kB) Citations (6)
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Abstract: A stationary functioning of a closed queueing network with temporarily non-active customers is analyzed. Non-active customers are located at network nodes in queues, being not serviced. For a customer, the feasibility of passing from its ordinary state to the temporarily non-active state (and backwards) is provided. Service times of customers at different nodes possess arbitrary distributions. Finally, the stationary distribution invariance of network states is established with respect to the functional form of customer service time distributions under fixed first-order moments.
Presented by the member of Editorial Board: A. I. Lyakhov

Received: 10.11.2011
English version:
Automation and Remote Control, 2012, Volume 73, Issue 10, Pages 1616–1623
DOI: https://doi.org/10.1134/S0005117912100037
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. S. Boyarovich, “The stationary distribution invariance of states in a closed queueing network with temporarily non-active customers”, Avtomat. i Telemekh., 2012, no. 10, 32–41; Autom. Remote Control, 73:10 (2012), 1616–1623
Citation in format AMSBIB
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\vol 73
\issue 10
\pages 1616--1623
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  • https://www.mathnet.ru/eng/at/y2012/i10/p32
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:273
    Full-text PDF :56
    References:32
    First page:11
     
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