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

被引：0
|
作者：
Yue, Dequan [1 ]
Wang, Ling [1 ]
Xu, Tingting [1 ]
Li, Haiying [1 ]
机构：
[1] Yanshan Univ, Dept Stat, Coll Sci, Qinhuangdao 066004, Peoples R China
来源：
2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5 | 2010年
关键词：
Queueing system; Breakdowns; Matrix-geometric solution; PH distribution; Mean system size; SERVICE INTERRUPTIONS; RELIABILITY; SUBJECT;
D O I：
10.1109/CCDC.2010.5498245
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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.
引用
收藏
页码：1492 / 1495
页数：4
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