On the reversibility of queueing networks |
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Authors: | Benjamin Melamed |
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Affiliation: | Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, IL 60201, USA |
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Abstract: | This paper relates the reversibility of certain discrete state Markovian queueing networks — the class of quasi-reversible networks — to the reversibility of the underlying switching process. Quasi-reversible networks are characterized by a product form equilibrium state distribution.When the state can be represented by customer totals at each node, the reversibility of the state process is equivalent to the reversibility of the switching process. More complicated quasi-reversible networks require additional conditions, to ensure the reversibility of the network state process. |
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Keywords: | Queueing networks Markov processes quasi-reversibility networks of queues reversibility quasi-reversible queueing networks |
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