The queue length in an M/G/1 batch arrival retrial queue

被引:0
|
作者
Kouji Yamamuro
机构
[1] Gifu University,Faculty of Engineering
来源
Queueing Systems | 2012年 / 70卷
关键词
Retrial queue; Subexponential distribution; Infinitely divisible distribution; 60K25; 60E07;
D O I
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中图分类号
学科分类号
摘要
An M/G/1 retrial queue with batch arrivals is studied. The queue length Kμ is decomposed into the sum of two independent random variables. One corresponds to the queue length K∞ of a standard M/G/1 batch arrival queue, and another is compound-Poisson distributed. In the case of the distribution of the batch size being light-tailed, the tail asymptotics of Kμ are investigated through the relation between K∞ and its service times.
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页码:187 / 205
页数:18
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