Interconnections of Markov chains and quasi-reversible queuing networks

Jean Walrand and Pravin Varaiya

Stochastic Processes and their Applications, 1980, vol. 10, issue 2, 209-219

Abstract: 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.

Keywords: Queuing; networks; quasi-reversibility; reversibility; product; form; Markov; chains (search for similar items in EconPapers)
Date: 1980
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Citations: View citations in EconPapers (4)

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