Time-dependent properties of symmetric queues

被引:0
|
作者
Brian Fralix
Bert Zwart
机构
[1] Clemson University,Department of Mathematical Sciences
[2] CWI,undefined
来源
Queueing Systems | 2011年 / 67卷
关键词
Regenerative processes; Symmetric queues; Time-reversal; 60K25;
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中图分类号
学科分类号
摘要
We settle a conjecture of Kella et al. (J. Appl. Probab. 42:223–234, 2005): the distribution of the number of jobs in the system of a symmetric M/G/1 queue at a fixed time is independent of the service discipline if the system starts empty. Our derivations are based on a time-reversal argument for regenerative processes and a connection with a clearing model.
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页码:33 / 45
页数:12
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