Modelling and analysis of M/Ga,b/1/N queue -: A simple alternative approach

被引：37

作者：

Chaudhry, ML ^{[1
]}

Gupta, UC

机构：

[1] Royal Mil Coll Canada, Dept Math & Comp Sci, Kingston, ON K7K 5L0, Canada

[2] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India

来源：

QUEUEING SYSTEMS | 1999年 / 31卷 / 1-2期

关键词：

bulk service; finite queues; supplementary variable; imbedded Markov chain;

D O I：

10.1023/A:1019197911961

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we consider a single-server finite-capacity queue with general bulk service rule where customers arrive according to a Poisson process and service times of the batches are arbitrarily distributed. The queue is analyzed using both the supplementary variable and imbedded Markov chain techniques. The relations between state probabilities at departure and arbitrary epochs have been presented in explicit forms.

引用

页码：95 / 100

页数：6