MX/M/c Queue with catastrophes and state-dependent control at idle time

被引：0
|
作者：
Junping Li
Lina Zhang
机构：
[1] Central South University,School of Mathematics and Statistics
[2] Xiangtan University,School of Mathematics and Computational Science
来源：
Frontiers of Mathematics in China | 2017年 / 12卷
关键词：
Markovian bulk-arriving queues; equilibrium distribution; queue size; recurrence; effective catastrophe; 60J27; 60J35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider an MX/M/c queue with catastrophes and state-dependent control at idle time. Properties of the queues which terminate when the servers become idle are first studied. Recurrence, equilibrium distribution, and equilibrium queue-size structure are studied for the case of resurrection and no catastrophes. All of these properties and the first effective catastrophe occurrence time are then investigated for the case of resurrection and catastrophes. In particular, we obtain the Laplace transform of the transition probability for the absorbing MX/M/c queue.
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页码：1427 / 1439
页数：12
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