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

被引：8
|
作者：
Yamamuro, Kouji [1 ]
机构：
[1] Gifu Univ, Fac Engn, Gifu 5011193, Japan
来源：
QUEUEING SYSTEMS | 2012年 / 70卷 / 02期
关键词：
Retrial queue; Subexponential distribution; Infinitely divisible distribution; SINGLE-SERVER QUEUE; TAIL;
D O I：
10.1007/s11134-011-9268-4
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
An M/G/1 retrial queue with batch arrivals is studied. The queue length K-mu is decomposed into the sum of two independent random variables. One corresponds to the queue length K-infinity 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 K-mu are investigated through the relation between K-infinity and its service times.
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页码：187 / 205
页数：19
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