工作休假的Geo/Geo/1排队  

Geo/Geo/1 Queue with Working Vacations

作　　者：刘爱艳[1] 田乃硕[1] 郭明明[1] 

机构地区：[1]燕山大学理学院,秦皇岛066004

出　　处：《工程数学学报》2008年第6期1059-1064,共6页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10671170)

摘　　要：本文研究多重工作休假的Geo/Geo/1离散时间排队。工作休假排队在光通信网络的网关路由器性能分析中有重要应用。我们使用矩阵几何解的方法得到了稳态队长和逗留时间的分布及随机分解性质,并使用交替更新过程理论,得到了忙期和忙循环的均值。This paper studies the discrete-time Geo/Geo/1 queue with working vacations. Working vacation models are well applied in the performance analysis of gateway router in optical networks. Using the matrix-geometric solution method, the steady-state distribution of the queue length and sojourn time are obtained. Meanwhile, the stochastic decomposition properties of the queue length and sojourn time are also investigated. In addition, based on the alternative renewal process theory, the mean values of busy period and busy cycle are derived.

关 键 词：离散时间排队 工作休假 矩阵几何解 随机分解 忙期 

分 类 号：O226[理学—运筹学与控制论]