Title :
The M/M/2 Repairable Queueing System
Author :
Lv, Shengli ; Li, Jingbo ; Yue, Dequan ; Xiao, Xin
Author_Institution :
School of Science, Yanshan University, Qinhuangdao, China 066004. Email: qhdddlsl@163.com
fDate :
May 30 2007-June 1 2007
Abstract :
In this paper, we consider the M/M/2 queueing system with service interruptions. The rates of server breakdown are different between busy time and idle time, and there is one repairman in the system. Using the transform method we obtain the steady-state probabilities of the states, the steady-state availability and the steady-state queueing length, give a new form of the condition for the existence of the steady-state probabilities.
Keywords :
probability; queueing theory; reliability theory; M/M/2 repairable queueing system; reliability; server breakdown rates; service interruptions; steady-state availability; steady-state probabilities; steady-state queueing length; transform method; Automatic control; Automation; Availability; Control systems; Electric breakdown; Exponential distribution; Mathematics; Queueing analysis; Steady-state; Stochastic processes; moment generating function; queue length; queueing system; reliability;
Conference_Titel :
Control and Automation, 2007. ICCA 2007. IEEE International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-4244-0817-7
DOI :
10.1109/ICCA.2007.4376725
