空竭服务多级适应性休假Geom^X/G/1排队系统分析  

Analysis of Geom^X/G/1 queueing system with exhaustive service discipline and adptive multi-stage 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2期133-136,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);江苏省教育厅自然科学基金资助项目(00KJT110003)

摘　　要：在空竭服务多级适应性休假Geom/G/1型排队系统的基础上,讨论空竭服务多级适应性休假GeomX /G/1型排队系统的稳态队长.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,结果表明系统队长存在随机分解,而且附加队长有明确的概率意义.Based on the Geom/G/1 queueing system with exhaustive service discipline and adptive multistage vacations, the queue length of the Geom^X/G/1 queueing system with exhaustive service discipline and adptive multi-stage vacations is discussed. By means of imbedded Markov chains, the PGF of the system size in steady state is obtained. It shows that the system size can be decomposed into two random variables and the addition queue length has definite probability singnificance.

关 键 词：Geom^x/G/1型排队系统 多级适应性休假 嵌入马尔可夫链 随机分解 

分 类 号：O226[理学—运筹学与控制论]