带启动期的GI/G/1排队的瞬时分布  

The transient distribution of GI/G/1 queuing with setup period

作　　者：赵清贵[1] 侯振挺[2] 

机构地区：[1]重庆文理学院数学与统计学院,重庆永川402160 [2]中南大学概率统计研究所,湖南长沙410075

出　　处：《重庆文理学院学报（自然科学版）》2009年第5期12-14,共3页Journal of Chongqing University of Arts and Sciences

基　　金：国家自然科学基金项目(10671212);重庆文理学院科研资助课题

摘　　要：研究了带启动期的GI/G/1排队,利用马尔可夫骨架过程法得到系统队长{L(t),θ1(t),θ2(t)}的瞬时分布所满足的方程,并证明了它的概率分布是一线性方程的唯一最小非负解.The GI/G/1 queuing system with setup period was studied. The equation to meet the transient distribution of queue length {L（t）,θ1（t）,θ2（t）} was obtained by applying the approach of Markov skeleton process. It was proved that the transient distribution of queue length is the minimal nonnegative solution and also the unique bounded solution to a nonnegative linear equation.

关 键 词：GI/G/1排队 启动期 马尔可夫骨架过程 瞬时分布 

分 类 号：O22[理学—运筹学与控制论]