Multiclass G-Networks of Processor Sharing Queues with Resets

Jean-Michel Fourneau 1, 2
2 MESCAL - Middleware efficiently scalable
Inria Grenoble - Rhône-Alpes, LIG - Laboratoire d'Informatique de Grenoble
Abstract : We consider an open queueing network of generalized queues with several class of customers and one class of signal. Each queue has an infinite capacity and one server. The service time is exponential. The service discipline is Processor Sharing. After its service completion a customer moves to another queue and may become a signal. When the signal enters a non empty queue it vanishes while it resets the queue when it enters an empty queue. We prove that the steady state distribution for such a network of queues has a product form solution. To the best of our knowledge it is the first multiclass network of generalized queues and resets with product form solution.
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https://hal.inria.fr/hal-00953621
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Submitted on : Friday, February 28, 2014 - 2:11:43 PM
Last modification on : Thursday, October 11, 2018 - 8:48:02 AM

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Jean-Michel Fourneau. Multiclass G-Networks of Processor Sharing Queues with Resets. Analytical and Stochastic Modeling Techniques and Applications, 15th International Conference, ASMTA 2008, Proceedings, 2008, Nicosia, Cyprus. pp.221-233, ⟨10.1007/978-3-540-68982-9_16⟩. ⟨hal-00953621⟩

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