G/M/1 queues with delayed vacations

被引：0
|
作者：
Dong Hwan Han
Doo Il Choi
机构：
[1] Sunmoon University,Department of Mathematics
[2] University of Illinois at Chicago,Department of Mathematics, Statistics and Computer Science
来源：
Korean Journal of Computational & Applied Mathematics | 1998年 / 5卷 / 1期
关键词：
60K25; 68M20; Vacation queues; supplementary variable method; difference operator; changeover time;
D O I：
10.1007/BF03008931
中图分类号：
学科分类号：
摘要：
We considerG/M/1 queues with multiple vacation discipline, where at the end of every busy period the server stays idle in the system for a period of time called changeover time and then follows a vacation if there is no arrival during the changeover time. The vacation time has a hyperexponential distribution. By using the methods of the shift operator and supplementary variable, we explicitly obtain the queue length probabilities at arrival time points and arbitrary time points simultaneously.
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页码：1 / 11
页数：10
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