A discrete-time Geom/G/1 retrial queue with balking customers and second optional service

被引：4
作者：
Wei C.-M. [1 ]
Cai L. [1 ]
Wang J.-J. [2 ]
机构：
[1] Department of Mathematics, Shantou University, Shantou
[2] School of Management and Engineering, Dalian University of Technology, Dalian
来源：
OPSEARCH | 2016年 / 53卷 / 2期
基金：
中国国家自然科学基金;
关键词：
Balking customer; Markov chain; Optional service; Retrial queue;
D O I：
10.1007/s12597-015-0232-7
中图分类号：
学科分类号：
摘要：
In this paper, we discuss a discrete-time Geom/G/1 retrial queue with balking customers and second optional service where the retrial time follows a geometrical distribution. If an arriving customer finds the server is busy, he will leave the service area and go to the orbit with probability θ or leave the system with probability 1−θ; otherwise, he will begin his service immediately. In this model, after a customer finishes his first essential service, he may leave the system with probability 1−α or asks for a second optional service with probability α. Through studying the Markov chain underlying the model, we establish the probability generating functions of the orbit size and system size. Finally, some performance measures and numerical examples are presented. © 2015, Operational Research Society of India.
引用
收藏
页码：344 / 357
页数：13
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