具有两种不同服务的可修M^X/G(M/M)/1排队系统  

Repairable M^X/G(M/M)/1 queueing system with two phase heterogeneous service

作　　者：朱翼隽[1] 张峰[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B12期51-53,57,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);江苏省教育厅基金资助项目(00KJT110003)

摘　　要：在批量到达排队系统的基础上,考虑服务台可以提供两种不同服务的情况,建立了一个具有两种不同服务的可修MX/G(M/M)/1排队模型.在这个批量到达的排队系统中,每个顾客必须接受同一个服务台提供的两种不同服务,第一种服务完成紧接着进行第二种不同的服务,第二种服务完毕顾客离开服务台.通过补充变量法得到系统的状态转移图,根据状态转移图得到系统的微积分方程组,然后对方程组求解,进而求出系统的队长分布及一些可靠性指标.Considering the situation that the sever can provide two phase heterogeneous service on the basis of batch arrival, a repairable M^X/G（M/M）/1 system with two phase heterogeneous service is established. In the batch arrival queueing system, each customer must receive two phase heterogeneous service provided by the same sever; the first phase service followed by the second phase heterogeneous service. Customer leaves after the second service. By the method of supplementary variable, the figure of the state-transition and the differential equations are obtained. By solving the equations the distribution of the queue length and the reliability indexes are derived.

关 键 词：可修排队系统 批量到达 补充变量法 可靠性 

分 类 号：O226[理学—运筹学与控制论]