Interconnected networks of queues with randomized arrival and departure blocking

In this paper, the authors study two interconnected multiclass non-exponential queueing networks. Jobs can jump from one cluster to another, but subject to randomized blocking depending on the class occupancies. Such systems naturally arise in communication networks, like Metropolitan Area Networks. The authors present sufficient conditions for the existence of a product form equilibrium distribution under both the recirculate and the stop blocking protocol. A number of examples are given.