Open heterogeneous queueing networks withpossibility of internal changes in the nodes

The open queueing networks with Poisson incoming flow, exponential service in the nodesand Markov routing are considered. There are several types of demands in the network. There is asingle server in every node, which can operate in several regimes. The time of residence in everyregime has an exponential distribution. Transitions are able only between the neighbour regimes.While the regimes are switching in the node, the number of demands doesnt change. We define 0as a basic regime. Every regime describes the degree of nodes efficiency, which reduces with increaseof regimes number. Service discipline isnt concretized because of choice of node description.The results will be correct for LCFS PR service discipline with remains of the service.Service times of demands are independent and have exponential distribution. The reversibilityconditions are established and the stationary state distribution has a product form.

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