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Problemy Peredachi Informatsii, 2002, Volume 38, Issue 3, Pages 72–82 (Mi ppi1318)  
Communication Network Theory

Multiplicativity of Markov Chains with Multiaddress Routing

M. Yu. Tyurikov
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Abstract: A broad class of network Markov processes (including open queueing networks) with multiaddress routing and one type of calls is considered. Under such routing, the same call can simultaneously arrive at several nodes. For these processes, we found necessary and sufficient conditions of multiplicativity, that is, conditions of representability of a stationary distribution as a product of factors characterizing separate nodes.
Received: 27.10.2000
Revised: 17.01.2002
English version:
Problems of Information Transmission, 2002, Volume 38, Issue 3, Pages 227–236
DOI: https://doi.org/10.1023/A:1020317303239
Bibliographic databases:
Document Type: Article
UDC: 621.394.74:519.2
Language: Russian
Citation: M. Yu. Tyurikov, “Multiplicativity of Markov Chains with Multiaddress Routing”, Probl. Peredachi Inf., 38:3 (2002), 72–82; Problems Inform. Transmission, 38:3 (2002), 227–236
Citation in format AMSBIB
\Bibitem{Tyu02}
\by M.~Yu.~Tyurikov
\paper Multiplicativity of Markov Chains with Multiaddress Routing
\jour Probl. Peredachi Inf.
\yr 2002
\vol 38
\issue 3
\pages 72--82
\mathnet{http://mi.mathnet.ru/ppi1318}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2101269}
\zmath{https://zbmath.org/?q=an:1032.60086}
\transl
\jour Problems Inform. Transmission
\yr 2002
\vol 38
\issue 3
\pages 227--236
\crossref{https://doi.org/10.1023/A:1020317303239}
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