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Stability of Multi-server Polling Models

Abstract : The stability of polling models with several servers and Markovian routing of the servers is analyzed. Customers arrive according to independent renewal processes. The service times and the switch-over times are independent with general distributions, independent of the servers. Service policies are attached to the queues. We established the necessary and sufficient condition for stability for generalservice policies covering the classical ones. The sufficiency of the condition is proved using the associated fluid model. For the necessity of the condition,a straightforward argument is given. Moreover, local stability is given.
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https://hal.inria.fr/inria-00073342
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 12:35:07 PM
Last modification on : Friday, May 25, 2018 - 12:02:05 PM
Long-term archiving on: : Sunday, April 4, 2010 - 9:50:59 PM

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  • HAL Id : inria-00073342, version 1

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Christine Fricker, M.R. Jaïbi. Stability of Multi-server Polling Models. [Research Report] RR-3347, INRIA. 1998. ⟨inria-00073342⟩

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