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Problemy Peredachi Informatsii, 2006, Volume 42, Issue 4, Pages 91–103 (Mi ppi64)  
This article is cited in 3 scientific papers (total in 3 papers)

Communication Network Theory

Self-averaging Property of Queueing Systems

A. A. Vladimirova, A. N. Rybkoa, S. B. Shlosmanab

a Institute for Information Transmission Problems, Russian Academy of Sciences
b Center of Theoretical Physics, Luminy
Full-text PDF (1132 kB) Citations (3)
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Abstract: We establish an averaging property for a one-server queuing process, $M(t)/G/1$. It is a new relation between the output flow rate and the input flow rate, crucial in the study of the Poisson hypothesis. Its implications include the statement that the output flow always possesses more regularity than the input flow.
Received: 26.04.2006
Revised: 09.08.2006
English version:
Problems of Information Transmission, 2006, Volume 42, Issue 4, Pages 344–355
DOI: https://doi.org/10.1134/S0032946006040077
Bibliographic databases:
Document Type: Article
UDC: 621.394.74:519.2
Language: Russian
Citation: A. A. Vladimirov, A. N. Rybko, S. B. Shlosman, “Self-averaging Property of Queueing Systems”, Probl. Peredachi Inf., 42:4 (2006), 91–103; Problems Inform. Transmission, 42:4 (2006), 344–355
Citation in format AMSBIB
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\by A.~A.~Vladimirov, A.~N.~Rybko, S.~B.~Shlosman
\paper Self-averaging Property of Queueing
Systems
\jour Probl. Peredachi Inf.
\yr 2006
\vol 42
\issue 4
\pages 91--103
\mathnet{http://mi.mathnet.ru/ppi64}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2278814}
\transl
\jour Problems Inform. Transmission
\yr 2006
\vol 42
\issue 4
\pages 344--355
\crossref{https://doi.org/10.1134/S0032946006040077}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846809190}
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  • https://www.mathnet.ru/eng/ppi/v42/i4/p91
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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