Multiplicativity of Markov Chains with Multiaddress Routing

Multiplicativity of Markov Chains with Multiaddress Routing 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Multiplicativity of Markov Chains with Multiaddress Routing

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Publisher
Springer Journals
Copyright
Copyright © 2002 by MAIK “Nauka/Interperiodica”
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1023/A:1020317303239
Publisher site
See Article on Publisher Site

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.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 13, 2004

References

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