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: | Henderson W., Taylor P.G., Chao Xiuli |
Keywords: | networks |
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.