服务台可修的GI/PH/1排队系统  

Queue System GI/PH/1 with Repairable Service Station

作　　者：郭明明[1] 田乃硕[1] 刘爱艳[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《运筹与管理》2007年第5期69-74,共6页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(10671170)

摘　　要：本文讨论服务台可修的GI/PH/1排队,其中服务台寿命和修复时间也是PH变量。首先证明系统在稳态下可转化为一个等价的经典GI/PH/1模型,然后给出系统的各种稳态指标。此外,对修复后重新服务和累积服务两种不同模型,我们给出了统一的处理。This paper discusses the queue system GI/PH/1 with repairable service station, where the lifetime and the repair time of the service station are both PH random variables. First, we prove that this queue system can be transformed into the classical queue model GI/PH^～/1.Second, we give several indexes under stationary state. In addition, we give a unified treatment for renewing service and cumulative service.

关 键 词：运筹学 可修排队 矩阵几何解 PH分布 KRONECKER乘积 

分 类 号：O226[理学—运筹学与控制论]