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Problemy Peredachi Informatsii, 2005, Volume 41, Issue 3, Pages 76–104 (Mi ppi109)  
This article is cited in 6 scientific papers (total in 6 papers)

Communication Network Theory

On Stability of a Queueing System with Continuum Branching Fluid Limits

A. P. Kovalevskiia, V. A. Topchiib, S. G. Fossc

a Novosibirsk State Technical University
b Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (2522 kB) Citations (6)
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Abstract: It is known that in many queueing systems fluid limits are deterministic functions. Models and conditions which lead to random fluid limits have not received much attention. This paper is devoted to a study of a queueing network whose fluid limits admit a random and uncountable branching at certain points. Stability conditions for this model are investigated by the use of recent results from the theory of branching processes.
Received: 26.08.2004
Revised: 18.02.2005
English version:
Problems of Information Transmission, 2005, Volume 41, Issue 3, Pages 254–279
DOI: https://doi.org/10.1007/s11122-005-0030-6
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:621.394.74:519.2
Language: Russian
Citation: A. P. Kovalevskii, V. A. Topchii, S. G. Foss, “On Stability of a Queueing System with Continuum Branching Fluid Limits”, Probl. Peredachi Inf., 41:3 (2005), 76–104; Problems Inform. Transmission, 41:3 (2005), 254–279
Citation in format AMSBIB
\Bibitem{KovTopFos05}
\by A.~P.~Kovalevskii, V.~A.~Topchii, S.~G.~Foss
\paper On~Stability of a Queueing System with
Continuum Branching Fluid Limits
\jour Probl. Peredachi Inf.
\yr 2005
\vol 41
\issue 3
\pages 76--104
\mathnet{http://mi.mathnet.ru/ppi109}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2163853}
\zmath{https://zbmath.org/?q=an:1101.90019}
\transl
\jour Problems Inform. Transmission
\yr 2005
\vol 41
\issue 3
\pages 254--279
\crossref{https://doi.org/10.1007/s11122-005-0030-6}
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  • https://www.mathnet.ru/eng/ppi/v41/i3/p76
    • 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
    		Проблемы передачи информации Problems of Information Transmission
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