Mx/G/1 queue with multiple vacations

被引：9

作者：

Xu, Qingzhen ^{[1
]}

Bao, Susu

Ma, Zhanyou

Tian, Naishuo

机构：

[1] S China Normal Univ, Sch Comp Sci, Guangzhou 510631, Peoples R China

[2] Yanshan Univ, Coll Sci, Qinhuangdao, Peoples R China

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2007年 / 25卷 / 01期

基金：

中国国家自然科学基金;

关键词：

busy period analysis; multiple vacations; queueing system; stationary queue length; stationary waiting time;

D O I：

10.1080/07362990601052102

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study a queueing system M-x/G/1 with multiple vacations. The probability generating function ( P. G. F.) of stationary queue length and its expectation expression are deduced by using an embedded Markov chain of the queueing process. The P. G. F. of stationary system busy period and the probability of system in service state and vacation state also are obtained by the same method. At last we deduce the LST and mean of stationary waiting time in the service order FCFS and LCFS, respectively.

引用

页码：127 / 140

页数：14

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