DocumentCode
2007712
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
fYear
2007
fDate
May 30 2007-June 1 2007
Firstpage
2071
Lastpage
2075
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Automation, 2007. ICCA 2007. IEEE International Conference on
Conference_Location
Guangzhou
Print_ISBN
978-1-4244-0817-7
Type
conf
DOI
10.1109/ICCA.2007.4376725
Filename
4376725
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