Operating characteristic analysis on the M[x]/G/1 system with a variant vacation policy and balking

被引:41
作者
Ke, Jau-Chuan [1 ]
机构
[1] Natl Taichung Inst Techol, Dept Stat, Taichung 404, Taiwan
关键词
balking; busy period and idle period distribution; Markov process; supplemental variable; waiting time distribution;
D O I
10.1016/j.apm.2006.02.012
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper studies the operating characteristics of an M-[x]/G/1 queueing system under a variant vacation policy, where the server leaves for a vacation as soon as the system is empty. The server takes at most J vacations repeatedly until at least one customer is found waiting in the queue when the server returns from a vacation. If the server is busy or on vacation, an arriving batch balks (refuses to join) the system with probability 1 - b. We derive the system size distribution at different points in time, as well as the waiting time distribution in the queue. Finally, important system characteristics are derived along with some numerical illustration. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:1321 / 1337
页数:17
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