Data networks
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Queueing networks with discrete time scale: explicit expressions for the steady state behavior of discrete time stochastic networks
Time-dependent properties of symmetric queues
Queueing Systems: Theory and Applications
Multi-class network with phase type service time and group deletion signal
EPEW'11 Proceedings of the 8th European conference on Computer Performance Engineering
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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.