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带单重指数工作休假和休假中断的GI/M/1的排队系统
引用本文:汪文飞,李俊平.带单重指数工作休假和休假中断的GI/M/1的排队系统[J].数学理论与应用,2009(3):94-97.
作者姓名:汪文飞  李俊平
作者单位:中南大学数学科学与计算技术学院,长沙410075
基金项目:国家自然科学基金(No.10771216)和留学回国基金(教外司留[2007]1108)资助项目
摘    要:本文主要研究带有单重指数工作休假和休假中断策略的GI/M/1排队模型。利用分块矩阵表示出嵌入马尔可夫链的转移矩阵,并运用矩阵几何解的方法求得到达时刻队长的稳态分布,而且证明了其可以分解为三个独立随机变量的分布的和。

关 键 词:排队  工作休假  休假中断  矩阵几何解  稳态分布

GI/M/1 Queue With Single Working Vacation and Vacation Interruption
Wang Wenfei,Li Junping.GI/M/1 Queue With Single Working Vacation and Vacation Interruption[J].Mathematical Theory and Applications,2009(3):94-97.
Authors:Wang Wenfei  Li Junping
Institution:( School of Mathematical Science and Computing Technology, Central South University, Changsha, 410075 )
Abstract:In this paper, a detailed analysis of the GI/M/1 queueing system with single working vacation and vacation interruption is given. The transition matrix of the imbedded Markov chain is expressed in a block - Jocobi form and a matrix - geometric solution is presented. The distribution of the queue length in a stable state is derived and is shown to decompose into the distribution of the stun of three independent variables.
Keywords:Queue Working vacation Vacation interruption Matrix- geometric solution Steady- state distribution
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