Journal
MATHEMATICS OF OPERATIONS RESEARCH
Volume 33, Issue 2, Pages 375-402Publisher
INFORMS
DOI: 10.1287/moor.1070.0298
Keywords
processor sharing; queues with impatience; measure-valued process; fluid limits; delay-differential equations; empirical processes
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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 random time representing a job's patience has a general distribution and may be dependent on its initial service time requirement. A scaling procedure that gives rise to a fluid model with nontrivial yet tractable steady state behavior is presented. This fluid 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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