Discrete-Time GeoX/G/1 Retrial Queue with General Retrial Times, Working Vacations and Vacation Interruption

被引：15

作者：

Gao, Shan ^{[1
,2
]}

Wang, Jinting ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Dept Math, Beijing, Peoples R China

[2] Fuyang Normal Coll, Dept Math, Fuyang, Anhui, Peoples R China

来源：

QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT | 2013年 / 10卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Batch arrival; discrete-time queue; retrial; vacation interruption; working vacation; STARTING FAILURES; BERNOULLI SCHEDULE; M/G/1; QUEUE; SERVER;

D O I：

10.1080/16843703.2013.11673427

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider a discrete-time Geo(X)/G/1 retrial queue with general retrial times, and introduce working vacations and vacation interruption policy into the retrial queue. Firstly, we analyze the stationary condition for the embedded Markov chain at the departure epochs. Secondly, using supplementary variable method, we obtain the stationary probability distribution and some performance measures. Furthermore, we prove the conditional stochastic decomposition for the queue length in the orbit. Finally, some numerical examples are presented.

引用

页码：495 / 512

页数：18

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