An M/M/1 Retrial Queue with Working Vacation, Orbit Search and Balking

被引：0
|
作者：
Li, Juntong [1 ]
Li, Tao [1 ]
机构：
[1] Shandong Univ Technol, Sch Math & Stat, Zibo 255049, Peoples R China
来源：
ENGINEERING LETTERS | 2019年 / 27卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Retrial; Working vacation; Orbit search; Balking;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, an M/M/1 retrial queue with working vacation, orbit search and balking is considered. Using the matrix-analytic method, we obtain the necessary and sufficient condition for system to be stable. We also derive the stationary probability distribution and some performance measures. Then we give the conditional stochastic decomposition for the queue length in the orbit when the server is busy. Finally, we show the effect of the model parameters on the system's characteristics by some numerical examples.
引用
收藏
页码：97 / 102
页数：6
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