Fluid limits for processor-sharing queues with impatience

• 成果类型: Article
• 署名作者: Gromoll, H. Christian; Robert, Philippe; Zwart, Bert
• 署名单位: University of Virginia; University System of Georgia; Georgia Institute of Technology
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.1070.0298
• 发表日期: 2008
• 页码: 375-402
• 关键词: congestion

摘要

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.