GI/G/1/∞ batch arrival queueing system with a single exponential vacation

被引：19

作者：

Kempa, Wojciech M. ^{[1
]}

机构：

[1] Silesian Tech Univ, Inst Math, Gliwice, Poland

来源：

MATHEMATICAL METHODS OF OPERATIONS RESEARCH | 2009年 / 69卷 / 01期

关键词：

Batch arrival queueing system; Vacation period; Busy period; Idle time; Canonical factorization; LENGTH DISTRIBUTION; QUEUES;

D O I：

10.1007/s00186-008-0212-2

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In the article the queueing system of GI/G/1 type with batch arrival of customers and a single exponentially distributed vacation period at the end of every busy period is considered. Basic characteristics of transient state of the system are investigated: the first busy period, the first vacation period and the number of customers served during the first busy period. New results for the Laplace transform of the joint distribution of these three variables are obtained in dependence on the initial conditions of the system.

引用

页码：81 / 97

页数：17

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