Networks of Symmetric Multi-class Queues with Signals Changing Classes

Abstract

We consider a queueing network of symmetric Gqueues with customers and signals. Each queue has one or several servers. The service time is exponential. After its service completion, a customer moves to another queue and may become a signal. When the signal enters a queue, it changes the class of the customer in service if there is any. We prove that the steady state distribution for such a network of queues has a product form solution.