The stationary workload of the G/M/1 queue with impatient customers

被引：0
|
作者：
Jongho Bae
Sunggon Kim
机构：
[1] Chungnam National University,Department of Statistics
[2] University of Seoul,Department of Statistics
来源：
Queueing Systems | 2010年 / 64卷
关键词：
Workload; Virtual waiting time; /; /1 queue; Impatient customers; 60K25; 60M20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a G/M/1 queue in which the patience time of the customers is constant. The stationary distribution of the workload of the server, or the virtual waiting time, is derived by the level crossing argument. To this end, we obtain the expected downcrossings of a level in the workload process during a busy cycle and then the expected length of a busy cycle. For both the expectations, we use the dual property between the M/G/1 and G/M/1 queue.
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页码：253 / 265
页数：12
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