A note on the busy period of the M/G/1 queue with finite retrial group

被引：2

作者：

Artalejo, Jesus R. ^{[1
]}

Gomez-Corral, A. ^{[1
]}

机构：

[1] Univ Complutense Madrid, Fac Math, Dept Stat & Operat Res, E-28040 Madrid, Spain

来源：

PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES | 2007年 / 21卷 / 01期

关键词：

D O I：

10.1017/S0269964807070052

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider an MIGI I retrial queue with finite capacity of the retrial group. We derive the Laplace transform of the busy period using the catastrophe method. This is the key point for the numerical inversion of the density function and the computation of moments. Our results can be used to approach the corresponding descriptors of the M/G/1 queue with infinite retrial group, for which direct analysis seems intractable.

引用

页码：77 / 82

页数：6

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