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Article Dans Une Revue Queueing Systems Année : 2008

On Kelly networks with shuffling

Résumé

We consider Kelly networks with shuffling of customers within each queue. Specifically, each arrival, departure or movement of customer from one queue to another triggers a shuffle of the other customers at each queue. The shuffle distribution may depend on the network state and on the customer that triggers the shuffle. We prove that the stationary distribution of the network state remains the same as without shuffling. In particular, Kelly networks with shuffling have the product form. Moreover, the insensitivity property is preserved for symmetric queues.
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Dates et versions

hal-01244204 , version 1 (15-12-2015)

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Citer

Thomas Bonald, Minh-Anh Tran. On Kelly networks with shuffling. Queueing Systems, 2008, ⟨10.1007/s11134-008-9075-8⟩. ⟨hal-01244204⟩
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