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Fluid Limits for Processor Sharing Queues with Impatience

Abstract : We investigate a processor sharing queue with renewal arrivals and generally distributed service times. Impatient jobs may abandon the queue, or renege, before completing service. The corresponding stochastic processes are represented by measure valued Markov processes on R^2_+. A scaling procedure that gives rise to a fluid model with a nontrivial, yet tractable steady state behavior, is presented. This fluid model model captures many essential features of the underlying stochastic model, and it is used to analyze the impact of impatience in processor sharing queues.
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https://hal.inria.fr/inria-00001202
Contributor : Philippe Robert Connect in order to contact the contributor
Submitted on : Wednesday, April 5, 2006 - 8:33:09 AM
Last modification on : Friday, February 26, 2021 - 10:58:01 AM
Long-term archiving on: : Saturday, April 3, 2010 - 10:12:24 PM

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Christian Gromoll, Philippe Robert, Bert Zwart. Fluid Limits for Processor Sharing Queues with Impatience. 2006. ⟨inria-00001202⟩

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