Title :
Matrix-geometric solution of a heterogeneous two-Server M/(PH,M)/2 queueing system with server breakdowns
Author :
Yue, Dequan ; Wang, Ling ; Xu, Tingting ; Li, Haiying
Author_Institution :
Dept. of Stat., Yanshan Univ., Qinhuangdao, China
Abstract :
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.
Keywords :
exponential distribution; matrix algebra; network servers; queueing theory; exponential distribution; heterogeneous two-server M/(PH,M)/2 queueing system; matrix-geometric solution; phase type distribution; quasi-birth-and-death process; repairable queueing system; server breakdowns; Application software; Computer aided manufacturing; Design for quality; Educational institutions; Electric breakdown; Exponential distribution; Manufacturing systems; Preventive maintenance; Statistics; Steady-state; Breakdowns; Matrix-geometric solution; Mean system size; PH distribution; Queueing system;
Conference_Titel :
Control and Decision Conference (CCDC), 2010 Chinese
Conference_Location :
Xuzhou
Print_ISBN :
978-1-4244-5181-4
Electronic_ISBN :
978-1-4244-5182-1
DOI :
10.1109/CCDC.2010.5498245
