Networks of symmetric multi-class queues with signals changing classes

Authors:
Thu-Ha Dao-Thi;Jean-Michel Fourneau;Minh-Anh Tran
Affiliations:
Université de Versailles St-Quentin;Université de Versailles St-Quentin;Université de Paris Est Creteil
Venue:
ASMTA'10 Proceedings of the 17th international conference on Analytical and stochastic modeling techniques and applications
Year:
2010

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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.