Tail asymptotics for M/M/c retrial queues with non-persistent customers
Tail asymptotics for M/M/c retrial queues with non-persistent customers
复制标题
具有非持久客户的 M/M/c 重试队列的尾部渐近
DOI：
10.1007/s12351-011-0106-6
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发表时间：
2012-08
期刊：
影响因子：
--
通讯作者：
Zhao, Yiqiang
中科院分区：
文献类型：
--
作者：
刘斌;Wang, Xi;Zhao, Yiqiang
在本文中，我们考虑经典的M/M/c重试队列的一种变体，在该变体中我们允许非持久顾客存在。当c > 1时，对于重试顾客数量的联合稳态分布，这个系统没有一个明确的封闭形式的解。
In this paper, we consider a variant of the classical M/M/c retrial queue, in which we allow non-persistent customers. When c > 1, this system does not have an explicit closed form solution for the joint stationary distribution of the number of retrial customers in the orbit and the number of busy servers. Our main focus is on the tail asymptotics for the joint probabilities. We first present a matrix-product solution for the joint stationary probability vectors, which is further simplified to a scalar-product form, according to matrix-analytic theory. We then apply the censoring technique, which has been proven an efficient approach for analyzing queueing systems including retrial queues, to obtain the censored equations and the Key Lemma. In terms of these results, we finally prove an exact tail asymptotic result for the stationary probabilities.
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影响因子：
1.2
作者：
Weixin Shang;Liming Liu;Quanlin Li
通讯作者：
Weixin Shang;Liming Liu;Quanlin Li
影响因子：
1.2
作者：
Bara Kim;Jeongsim Kim
通讯作者：
Bara Kim;Jeongsim Kim
影响因子：
1.2
作者：
Yeong Cheol Kim
通讯作者：
Yeong Cheol Kim
影响因子：
1.2
作者：
Jerim Kim;Jeongsim Kim;Bara Kim
通讯作者：
Jerim Kim;Jeongsim Kim;Bara Kim
DOI：
10.1016/j.cor.2009.04.016
发表时间：
2010-07
期刊：
Comput. Oper. Res.
影响因子：
--
作者：
Bara Kim;Jeongsim Kim
通讯作者：
Bara Kim;Jeongsim Kim