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

摘要：

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 breakdown. The service times of two servers are assumed to follow phase type (PH) distribution and exponential distribution, respectively. By 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 system. Finally, numerical results are presented.

关键词： Queueing system Breakdowns Matrix-geometric solution PH distribution Mean system size

作者: Dequan Yue Ling Wang Tingting Xu Haiying Li

作者单位: Department of Statistics, College of Science, Yanshan University, Qinhuangdao 066004, China

会议类型: 国际会议

会议名称: The 22nd China Control and Decision Conference(2010年中国控制与决策会议)

会议地点: 徐州

会议语种:英文

页码: 1492-1495

在线出版日期: 2010-05-26（万方平台首次上网日期，不代表论文的发表时间）