The MAP/PH(PH/PH)/1 Discrete-time Queuing System with Repairable Server  

离散时间服务台可修的排队系统MAP/PH(PH/PH) /1(英文)

作　　者：禹海波[1] 聂赞坎[1] 杨建伟[1] 

机构地区：[1]西安交通大学理学院,陕西西安710049

出　　处：《Chinese Quarterly Journal of Mathematics》2001年第2期59-63,共5页数学季刊（英文版）

摘　　要：In this paper, we discuss a discrete time repairable queuing system with Markovian arrival process, where lifetime of server, service time and repair time of server are all discrete phase type random variables. Using the theory of matrix geometric solution, we give the steady state distribution of queue length and waiting time. In addition, the stable availability of the system is also provided.

关 键 词：discrete  time queuing system reliability phase type distribution Markovian arrival process matrix  geometric solution 

分 类 号：O226[理学—运筹学与控制论]