Article ID: | iaor200954200 |
Country: | United States |
Volume: | 33 |
Issue: | 2 |
Start Page Number: | 375 |
End Page Number: | 402 |
Publication Date: | May 2008 |
Journal: | Mathematics of Operations Research |
Authors: | Robert Philippe, Zwart Bert, Gromoll H Christian |
Keywords: | queueing networks, processor sharing queues, fluid queue |
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.