M/G/1一般减量服务单重休假排队系统的随机分解  

A M/G/1 Type Queue with Single-Vacation and Generally-Decreased Service

作　　者：程应松[1,2] 杨卫国[1] 朱翼隽[1] 廖果平[3] 

机构地区：[1]江苏大学理学院,镇江212013 [2]南京财经大学应用数学系 [3]江苏工业学院工商管理系,常州213164

出　　处：《运筹学学报》2007年第2期91-98,共8页Operations Research Transactions

基　　金：国家自然科学基金资助;项目编号:10571076;70571030.

摘　　要：本文讨论了M/G/1型一般减量服务单重休假排队模型,运用结构分析法得到稳态队长和服务时间的随机分解的母函数和拉式变换,并给出稳态分布成立的条件及其概率含义．In this paper a queue of M/G/1 type with single vacation and generallydecreased service is discussed. Based on the structure of stochastic decomposition of a M/G/1 type vacation queue with nonexhaustive service, the stochastic decomposition of queue-length with G.F.P and waiting time with L.S.T on the steady state is obtained with a simplified method, at the same time, the equilibrium condition with its probability meaning is also acquired.

关 键 词：运筹学 休假排队 结构分析法 随机分解 单重独立休假策略 

分 类 号：O226[理学—运筹学与控制论]