Insensitive queueing models for communication networks

Authors:
T. Bonald
Affiliations:
France Telecom, Issy-les-Moulineaux, France
Venue:
valuetools '06 Proceedings of the 1st international conference on Performance evaluation methodolgies and tools
Year:
2006

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Abstract

A rich class of communication networks can be represented as queueing networks with state-dependent arrival rates and service rates. We provide necessary and sufficient conditions for such queueing networks to be insensitive in the sense that the steady-state distribution depends on the service time distribution at each queue through the mean only. This insensitivity property is key to the development of simple engineering rules that do not require the knowledge of fine traffic statistics.