Tail asymptotics for the queue length in an M/G/1 retrial queue
Tail asymptotics for the queue length in an M/G/1 retrial queue
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DOI：
10.1007/s11134-006-5223-1
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发表时间：
2006-03
期刊：
影响因子：
1.2
通讯作者：
Weixin Shang;Liming Liu;Quanlin Li
中科院分区：
文献类型：
--
作者：
Weixin Shang;Liming Liu;Quanlin Li
本文研究了M/G/1重试排队系统平稳队长的尾部性质。证明了M/G/1重试排队的平稳队长的次指数尾部由相应的M/G/1重试队长的尾部决定，因此如果相应的M/G/1重试排队的平稳队长是次指数的，则M/G/1重试排队的平稳队长是次指数的。我们关于次指数尾的结果也适用于规则变化的尾，并且我们给出了M/G/1重试排队的平稳队长的规则变化尾的渐近性质。
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.