Queueing Systems

, 59:53 | Cite as

On Kelly networks with shuffling

Article

Abstract

We consider Kelly networks with shuffling of customers within each queue. Specifically, each arrival, departure or movement of a 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.

Keywords

Product form Insensitivity Symmetric queues Shuffling 

Mathematics Subject Classification (2000)

60J75 

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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.France TelecomIssy-les-MoulineauxFrance
  2. 2.École Normale SupérieureParisFrance

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