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Avtomatika i Telemekhanika, 2015, Issue 12, Pages 94–107 (Mi at14331)  
This article is cited in 2 scientific papers (total in 2 papers)

Stochastic Systems, Queuing Systems

Insensitivity of the stationary distribution of state probabilities in an open network with non-active customers

Yu. S. Kruka, Yu. E. Dudovskayab

a Belarusian National Technical University, Minsk, Belarus
b Francisk Skorina Gomel State University, Gomel, Belarus
Full-text PDF (219 kB) Citations (2)
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Abstract: We study the stationary operation of an open queueing network with non-active customers and informational signals. The amount of work to service a claim is a random value with an arbitrary distribution. The stationary distribution of network state probabilities has a multiplicative form and is insensitive with respect to the functional form of the distribution of the work needed to service a claim.
Funding agency Grant number
Belarusian Republican Foundation for Fundamental Research ф14м-099
Presented by the member of Editorial Board: A. I. Lyakhov

Received: 07.12.2014
English version:
Automation and Remote Control, 2015, Volume 76, Issue 12, Pages 2168–2178
DOI: https://doi.org/10.1134/S0005117915120061
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. S. Kruk, Yu. E. Dudovskaya, “Insensitivity of the stationary distribution of state probabilities in an open network with non-active customers”, Avtomat. i Telemekh., 2015, no. 12, 94–107; Autom. Remote Control, 76:12 (2015), 2168–2178
Citation in format AMSBIB
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\issue 12
\pages 94--107
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  • https://www.mathnet.ru/eng/at/y2015/i12/p94
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:65
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