Matrix-Geometric Solution of a Heterogeneous Two-Server M/（PH,M）/2 Queueing System with Server Breakdowns

作     者：Dequan Yue~1,Ling Wang~1,Tingting Xu~1,Haiying Li~1 1.Department of Statistics,College of Science,Yanshan University,Qinhuangdao 066004,China 

会议名称：《2010 Chinese Control and Decision Conference》

会议日期：2010年

学科分类：08[工学] 081201[工学-计算机系统结构] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by National Nature Science Foundation of China under Grant 70671088 

关 键 词：Queueing system Breakdowns Matrix-geometric solution PH distribution Mean system size 

摘      要：正In this paper,we study a repairable queueing system with two different servers,where Server 1 is perfectly reliable and Server 2 is subject to *** service times of two servers are assumed to follow phase type（PH） distribution and exponential distribution,*** establishing the quasi-birth-and-death（QBD） process of the system states,we first derive the equilibrium condition of the system,and then obtain the matrix-geometric solution for the steady-state probability vectors of the ***,numerical results are presented.