Tail asymptotics for the queue length in an M/G/1 retrial queue

被引：0
|
作者：
Weixin Shang
Liming Liu
Quan-Lin Li
机构：
[1] Hong Kong University of Science and Technology,Department of Industrial Engineering and Logistics Management
[2] Tsinghua University,Department of Industrial Engineering
来源：
Queueing Systems | 2006年 / 52卷
关键词：
M/G/1 retrial queue; Queue length; Subexponentiality; Regular variation; Tail asymptotics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the tail behavior of the stationary queue length of an M/G/1 retrial queue. We show that the subexponential tail of the stationary queue length of an M/G/1 retrial queue is determined by that of the corresponding M/G/1 queue, and hence the stationary queue length in an M/G/1 retrial queue is subexponential if the stationary queue length in the corresponding M/G/1 queue is subexponential. Our results for subexponential tails also apply to regularly varying tails, and we provide the regularly varying tail asymptotics for the stationary queue length of the M/G/1 retrial queue.
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收藏
页码：193 / 198
页数：5
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