Product form stationary distributions for queueing networks with blocking and rerouting

In this paper we study Markovian queueing networks in which the service and the routing characteristics have a particular form which leads to a produc t form. stationary distribution for the number of customers in the various queues of the network. We show that if certain transitions are prohibited d ue to blocking conditions, then the form of the stationary distribution is preserved under a certain rerouting protocol. Several examples are presente d which illustrate the wide applicability of the model.