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Problemy Peredachi Informatsii, 1981, Volume 17, Issue 1, Pages 71–89 (Mi ppi1382)  
Large System Science and Communications-Network Theory

Stationary Distributions of Time-Homogeneous Markov Processes Modeling Message-Switching Communication Networks

A. N. Rybko
Full-text PDF (1152 kB)
Abstract: The article focuses on stationary distributions of time-homogeneous Markov processes modeling message-switching communication networks. Necessary conditions are derived for the existence of a stationary distribution and a construction is given which simplifies the proof of their sufficiency. Working formulas are proposed for calculating the stationary distribution as the sum of a series.
Received: 25.09.1979
Revised: 10.06.1980
Bibliographic databases:
Document Type: Article
UDC: 621.394.74:519.27
Language: Russian
Citation: A. N. Rybko, “Stationary Distributions of Time-Homogeneous Markov Processes Modeling Message-Switching Communication Networks”, Probl. Peredachi Inf., 17:1 (1981), 71–89; Problems Inform. Transmission, 17:1 (1981), 49–63
Citation in format AMSBIB
\Bibitem{Ryb81}
\by A.~N.~Rybko
\paper Stationary Distributions of Time-Homogeneous Markov Processes Modeling Message-Switching Communication Networks
\jour Probl. Peredachi Inf.
\yr 1981
\vol 17
\issue 1
\pages 71--89
\mathnet{http://mi.mathnet.ru/ppi1382}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=647426}
\zmath{https://zbmath.org/?q=an:0472.90021}
\transl
\jour Problems Inform. Transmission
\yr 1981
\vol 17
\issue 1
\pages 49--63
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    		Проблемы передачи информации Problems of Information Transmission
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