Tails in generalized Jackson networks with subexponential service-time distributions
Tails in generalized Jackson networks with subexponential service-time distributions
复制标题
具有次指数服务时间分布的广义 Jackson 网络中的尾部
DOI：
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发表时间：
2005
影响因子：
1
通讯作者：
M. Lelarge
中科院分区：
文献类型：
--
作者：
F. Baccelli;S. Foss;M. Lelarge
本文给出了次指数服务时间的广义杰克逊网络的平稳极大值尾的精确渐近性。这个最大的dater，这是一个模拟的工作量在一个孤立的队列，给出了所需的时间，清除所有客户在某个时间t时，停止所有的到来，发生在t之后。我们使用的属性，一个大的偏差的最大日期是由一个单一的大的服务时间在一个单一的站在遥远的过去的t的某个时间，结合广义杰克逊网络的流体限制，推导出相关的渐近封闭形式。
We give the exact asymptotics of the tail of the stationary maximal dater in generalized Jackson networks with subexponential service times. This maximal dater, which is an analogue of the workload in an isolated queue, gives the time taken to clear all customers present at some time t when stopping all arrivals that take place later than t. We use the property that a large deviation of the maximal dater is caused by a single large service time at a single station at some time in the distant past of t, in conjunction with fluid limits of generalized Jackson networks, to derive the relevant asymptotics in closed form.