空竭服务多级适应性休假Geom^X/G(Geom/G)/1可修排队系统  

Geom^X/G(Geom/G)/1 repairable queue with exhaustive service discipline and adaptive multistage vacations

作　　者：朱翼隽[1] 胥秀珍[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《江苏大学学报（自然科学版）》2005年第4期316-319,共4页Journal of Jiangsu University：Natural Science Edition

基　　金：江苏省自然科学基金资助项目(BK97047);江苏省教育厅基金资助项目(00KJT110003)

摘　　要：在空竭服务多级适应性休假GeomX/G/1排队的基础上,讨论了空竭服务多级适应性休假GeomX/G(Geom/G)/1可修排队系统.利用嵌入马尔可夫链法,得到了稳态状态下顾客离去时刻系统队长的母函数,说明系统队长存在随机分解;此外,对系统的一个忙循环进行分析,使用Wald定理和离散时间更新报酬定理得到了系统的稳态可用度.Based on the Geom^X/G/1 queueing system with exhaustive service discipline and adaptive multistage vacations, the Geom^X/G(Geom/G)/1 repairable queueing system with exhaustive service discipline and adaptive multistage vacations are considered. By means of imbedded Markov chains, in the steady state, the PGF of the system size is obtained. It shows that the system size can be decomposed into two random variables. The stable availability of the system is also provided.

关 键 词：排队论 Geom^x/G(Geom/G)/1型排队系统 多级适应性休假 马尔可夫链 可用度 

分 类 号：O226[理学—运筹学与控制论]