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.
出处
《工程数学学报》
CSCD
北大核心
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)
关键词
离散时间排队
工作休假
矩阵几何解
随机分解
忙期
discrete-time queue
working vacation
matrix-geometric solution
stochastic decomposi- tion
busy period
