期刊
APPLIED MATHEMATICAL MODELLING
卷 31, 期 7, 页码 1321-1337出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2006.02.012
关键词
balking; busy period and idle period distribution; Markov process; supplemental variable; waiting time distribution
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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据