Analysis of a Geom/G/1 Queue with General Limited Service and MAVs

摘要：

In this paper, we present an analysis for a general limited service Geom/G/1 queue model with multiple adaptive vacations (MAVs). The Probability Generating Function (P.G.E) of the queue length is obtained by using an embedded Markov chain with a regeneration cycle approach. The P.G.F. of the waiting time is also derived based on the independence between the arrival process and the waiting time. The probabilities for the system being in various states, such as busy, idle and vacation, are also derived.

关键词： Multiple adaptive vacations general limited service embedded Markov chain method regeneration cycle approach service cycle

作者: Zhanyou Ma Wuyi Yue Naishuo Tian

作者单位: College of Science, Yanshan University, Qinhuangdao 066004, China Department of Intelligence and Informatics, Konan University, Kobe 658-8501, Japan

会议类型: 国际会议

会议名称: The Seventh International Symposium(ISORA08)(第七届国际效力研究及其应用学术会议)

会议地点: 云南丽江

会议语种:英文

页码: 359-368

在线出版日期: 2008-10-31（万方平台首次上网日期，不代表论文的发表时间）