Processor Sharing Queues with Impatience

Details Processor Sharing Queues with Impatience Processor Sharing Queues with Impatience

2006-04-10

arxiv.org/abs/math/0604215v1

Mathematics of Operations Research, 33(2):375-402, May 2008

Mathematics

Probability

Scientific paper

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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