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Problemy Peredachi Informatsii, 2004, Volume 40, Issue 1, Pages 85–97
(Mi ppi127)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/ppi127 https://www.mathnet.ru/eng/ppi/v40/i1/p85
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