两个不同服务台的M/(Ek,M)/2可修排队系统的矩阵几何解  

Matrix-Geometric Solution of an M/(Ek,M)/2 Repariable Queueing System with Two Heterogeneous Servers

作　　者：王玲[1] 岳德权[1] 李海英[1] 许厅厅[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》2010年第4期78-84,共7页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(70671088)

摘　　要：本文研究了服务时间分别服从Erlang分布和指数分布的两个不同服务台并联的可修排队系统,其中服务台1完全可靠,服务台2可能发生故障。通过构建系统状态的拟生灭过程,求出了系统稳态平衡条件和稳态概率向量的矩阵几何解,并给出了系统的一些性能指标和数值算例。In this paper,we study a repairable queueing system with two different servers whose service times follow Erlang distribution and exponential distribution respectively,where Server 1 is perfectly reliable and Server 2 is subject to breakdown.By establishing the QBD process of system states,we derive the equilibrium condition of the system and the matrix-geometric solution of the steady-state probability vectors.Some performance measures of the system and numerical illustrations are persented.

关 键 词：排队系统 可靠性 拟生灭过程 矩阵几何解法 平均队长 

分 类 号：O226[理学—运筹学与控制论]