M/G/1非空竭服务休假排队系统的平衡条件分析  

Analysis of Condition on the Steady State of a M/G/1 Type Vocation Queue with Nonexhaustive Service

作　　者：程应松[1] 朱翼隽[1] 

机构地区：[1]江苏大学理学院

出　　处：《运筹学学报》2005年第3期83-88,共6页Operations Research Transactions

基　　金：江苏省教育厅基金资助;项目编号:00KJT11003

摘　　要：讨论了一般非空竭服务M/G/1型休假排队系统的嵌入更新过程常返的条件,为稳态队长与等待时间的随机分解奠定理论基础.并且在独立休假策略下进一步简化Fuhrman与Cooper(1985)休假排队系统的随机分解的条件,并得到完整的随机分解结构.In this paper the reccurent condition is discussed of the regenerative process embedded in a M/G/1 type vocation queue with nonexhaustive service, which is a sufficient condition of the queue＇s steady state.Based on this result and independent vocation policy we get a weaker steady condition of queue system with its decomposition offered by Fuhrman and Cooper（1985）.

关 键 词：运筹学 休假排队 再生过程 平衡条件 马氏链 遍历性 休假排队系统 空竭服务 M/G/1 平衡条件 随机分解 更新过程 等待时间 稳态队长 分解结构 

分 类 号：O226[理学—运筹学与控制论] O31[理学—数学]