Tail asymptotics for the queue size distribution in a discrete-time Geo/G/1 retrial queue
Tail asymptotics for the queue size distribution in a discrete-time Geo/G/1 retrial queue
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DOI：
10.1007/s11134-009-9106-0
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发表时间：
2009-03
期刊：
影响因子：
1.2
通讯作者：
Bara Kim;Jeongsim Kim
中科院分区：
文献类型：
--
作者：
Bara Kim;Jeongsim Kim
考虑了服务时间分布具有有限指数矩的离散时间Geo/G/1重试排队系统.我们证明了队长分布的尾部是渐近几何分布。值得注意的是，该结果与连续时间模型M/G/1重试队列中的相应结果不一致，其中队列大小分布的尾部由几何函数乘以幂函数渐进给出。
We consider a discrete-timeGeo/G/1 retrial queue where the service time distribution has a finite exponential moment. We show that the tail of the queue size distribution is asymptotically geometric. Remarkably, the result is inconsistent with the corresponding result in the continuous-time counterpart, theM/G/1 retrial queue, where the tail of the queue size distribution is asymptotically given by a geometric function multiplied by a power function.