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Problemy Peredachi Informatsii, 2004, Volume 40, Issue 1, Pages 85–97 (Mi ppi127)  
This article is cited in 3 scientific papers (total in 3 papers)

Communication Network Theory

Local Diffusion Approximation of the State Changing Process of an Unstable Random Access Network in a Neighborhood of the Asymptotic Mean

P. I. Kotsyuruba, A. A. Nazarov

Tomsk State University
Full-text PDF (1044 kB) Citations (3)
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Abstract: A mathematical non-Markovian model of an unstable random access network is investigated by the asymptotic analysis method. A random process is constructed which approximates the values of deviations of the normalized number of messages from the asymptotic mean. This process is shown to be Gaussian; explicit expressions for its drift coefficients, diffusion, and other characteristics are obtained.
Received: 20.05.2003
English version:
Problems of Information Transmission, 2004, Volume 40, Issue 1, Pages 78–89
DOI: https://doi.org/10.1023/B:PRIT.0000024883.88259.36
Bibliographic databases:
Document Type: Article
UDC: 621.394.74:519.2
Language: Russian
Citation: P. I. Kotsyuruba, A. A. Nazarov, “Local Diffusion Approximation of the State Changing Process of an Unstable Random Access Network in a Neighborhood of the Asymptotic Mean”, Probl. Peredachi Inf., 40:1 (2004), 85–97; Problems Inform. Transmission, 40:1 (2004), 78–89
Citation in format AMSBIB
\Bibitem{KotNaz04}
\by P.~I.~Kotsyuruba, A.~A.~Nazarov
\paper Local Diffusion Approximation of the State Changing Process of an Unstable Random Access Network in a Neighborhood of the Asymptotic Mean
\jour Probl. Peredachi Inf.
\yr 2004
\vol 40
\issue 1
\pages 85--97
\mathnet{http://mi.mathnet.ru/ppi127}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2099023}
\zmath{https://zbmath.org/?q=an:1085.94003}
\transl
\jour Problems Inform. Transmission
\yr 2004
\vol 40
\issue 1
\pages 78--89
\crossref{https://doi.org/10.1023/B:PRIT.0000024883.88259.36}
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    • 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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