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.

引用

页码：187 / 205

页数：19

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