Performance Analysis for the Geom/G/1 Queue with Single Working Vacation

摘要：

In this paper,we analyzed a Geom/G/1 queue with single working vacation. Firstly,we obtained the M/G/1-type struc ture matrix of the two-dimensional embedded Markov chain. Using the matrix analysis method,highly complicated PGF of the stationary queue size is ˉrstly derived. Furthermore,we got the stochastic decomposition formulae for the PGF of the stationary queue size and the stationary waiting time. Finally,several numerical examples are presented to verify these results.

关键词： Geom/G/1 queue single working vacation stochastic decomposition waiting time

作者: Xiuli XU Yance Li Naishuo Tian

作者单位: College of Science Yanshan University Qinhuangdao,China,066004

会议类型: 国际会议

会议名称: 第五届排队论及网络应用国际研讨会

会议地点: 北京

会议语种:英文

页码: 156-161

在线出版日期: 2010-07-24（万方平台首次上网日期，不代表论文的发表时间）