Interconnections of Markov chains and quasi-reversible queuing networks

A quasi-reversible queue can be associated with certain type of transactions of a Markov chain. It is shown that if Markov chains are coupled in a certain way, then to the resulting chain be associated a queuing network which is itself quasi-reversible and the stationary distribution of the chain takes the product form. The product form for mixed networks is derived from the result for open networks.

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Year of publication:	1980
Authors:	Walrand, Jean ; Varaiya, Pravin
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 10.1980, 2, p. 209-219
Publisher:	Elsevier
Keywords:	Queuing networks quasi-reversibility reversibility product form Markov chains

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008872558