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Teoriya Veroyatnostei i ee Primeneniya, 2002, Volume 47, Issue 1, Pages 188–199
DOI: https://doi.org/10.4213/tvp3527 (Mi tvp3527) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

Multistability in queues with retransmission and its relationship with large deviations in branching processes

S. A. Grishechkin, M. Devetsikiotis, I. Lambadaris, Ch. Hobbs

Carleton University
Full-text PDF (1458 kB) Citations (1)
DOI: https://doi.org/10.4213/tvp3527
Abstract: We demonstrate that the retransmission policy used in networks can lead to a situation in which a system has many pseudostable states. Only one of these states corresponds to high performance of the system; others are undesirable because of their poor performance. The effect can arise even for a Poisson arrival but becomes more probable for highly bursty traffic. We apply methods of the theory of branching processes for investigation of this phenomenon.
Keywords: queueing system, branching processes, pseudostationarity.
Received: 18.04.2000
English version:
Theory of Probability and its Applications, 2003, Volume 47, Issue 1, Pages 139–150
DOI: https://doi.org/10.1137/S0040585X97979585
Bibliographic databases:
Document Type: Article
Language: English
Citation: S. A. Grishechkin, M. Devetsikiotis, I. Lambadaris, Ch. Hobbs, “Multistability in queues with retransmission and its relationship with large deviations in branching processes”, Teor. Veroyatnost. i Primenen., 47:1 (2002), 188–199; Theory Probab. Appl., 47:1 (2003), 139–150
Citation in format AMSBIB
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\by S.~A.~Grishechkin, M.~Devetsikiotis, I.~Lambadaris, Ch.~Hobbs
\paper Multistability in queues with retransmission and its relationship with large deviations in branching processes
\jour Teor. Veroyatnost. i Primenen.
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\vol 47
\issue 1
\pages 188--199
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\zmath{https://zbmath.org/?q=an:1033.60092}
\transl
\jour Theory Probab. Appl.
\yr 2003
\vol 47
\issue 1
\pages 139--150
\crossref{https://doi.org/10.1137/S0040585X97979585}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000183800400013}
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  • https://www.mathnet.ru/eng/tvp3527
  • https://doi.org/10.4213/tvp3527
  • https://www.mathnet.ru/eng/tvp/v47/i1/p188
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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