Queue size distribution in a discrete-time D-BMAP/G/1 retrial queue
Queue size distribution in a discrete-time D-BMAP/G/1 retrial queue
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DOI：
10.1016/j.cor.2009.04.016
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发表时间：
2010-07
期刊：
影响因子：
--
通讯作者：
Bara Kim;Jeongsim Kim
中科院分区：
文献类型：
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作者：
Bara Kim;Jeongsim Kim
研究了一个离散时间批处理马尔可夫到达过程（D-BMAP）/G/1重试排队系统.我们发现轻尾渐近的平稳分布的客户数量在嵌入的时期和在任意时间。利用这些尾部渐近性，我们提出了一种方法来计算嵌入时期和任意时间的客户数的平稳分布。数值例子来说明我们的结果。
We consider a discrete-time batch Markovian arrival process (D-BMAP)/G/1 retrial queue. We find the light-tailed asymptotics for the stationary distributions of the number of customers at embedded epochs and at arbitrary time. Using these tail asymptotics we propose a method for calculating the stationary distributions of the number of customers at embedded epochs and at arbitrary time. Numerical examples are presented to illustrate our results.