State-dependent coupling in general networks

State-dependent coupling in general networks

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Article ID: iaor20041290
Country: Netherlands
Volume: 39
Issue: 4
Start Page Number: 337
End Page Number: 348
Publication Date: Dec 2001
Journal: Queueing Systems
Authors: , ,
Keywords: networks
Abstract:

In this paper we extend a result which holds for the class of networks of quasireversible nodes to a class of networks constructed by coupling Markov chains. We begin with a network in which the transition rates governing the stochastic behaviour of the individual nodes depend only on the state of the node. Assuming that the network has an invariant measure, we construct another network with transition rates at each node depending on the state of the entire network, and obtain its invariant measure.

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