The Discrete-Time GI/Geo/1 Queue with Multiple Vacations

被引：0
|
作者：
Naishuo Tian
Zhe George Zhang
机构：
[1] Yanshan University,Department of Mathematics
[2] Western Washington University,Department of Finance, Marketing, and Decision Sciences, College of Business and Economics
[3] Simon Fraser University,Faculty of Business Administration
来源：
Queueing Systems | 2002年 / 40卷
关键词：
discrete-time; /; /1 queue; vacation model; matrix geometric solutions; stochastic decomposition;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study a discrete-time GI/Geo/1 queue with server vacations. In this queueing system, the server takes vacations when the system does not have any waiting customers at a service completion instant or a vacation completion instant. This type of discrete-time queueing model has potential applications in computer or telecommunication network systems. Using matrix-geometric method, we obtain the explicit expressions for the stationary distributions of queue length and waiting time and demonstrate the conditional stochastic decomposition property of the queue length and waiting time in this system.
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页码：283 / 294
页数：11
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