Multiclass generalized networks with cyclical synchronization

We present a generalized network of queues with multiple classes of customers where signals may delete customers in service according to a rooted circular list of queues. We only consider stations with processor sharing service discipline. We prove the steady-state distribution has a product form if the flow equations have a solution. These networks may be used to model synchronizations in parallel systems, losses of packets in networks, of failures with deletion of customers. (C) Elsevier, Paris.