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- Title
The reliability analysis of balking and reneging in a repairable system with warm standbys.
- Authors
Jau-Chuan Ke; Kuo-Hsiung Wang
- Abstract
We study the reliability analysis of a repairable system with <UEQN>$m$</UEQN> operating units, <UEQN>$w$</UEQN> warm standby units and <UEQN>$R$</UEQN> repairmen in which the balking and reneging of units are considered. It is assumed that failed units balk (refuse to join) with a constant probability (<UEQN>$1-b$</UEQN>) and renege (leave the queue after joining) according to a negative exponential distribution with parameter <UEQN>$r$</UEQN>. The failure times of the operating unit and of a standby unit are assumed to be exponentially distributed with parameters λ and α, respectively. The repair time distribution is also exponential. The repairable system is <UEQN>$K$</UEQN> out of <UEQN>$m+w$</UEQN>, in which <UEQN>$K=1,2,\dots,m$</UEQN>. The reliability characteristics, such as the system reliability and the mean time to system failure (MTTF), in a repairable system are derived. Several cases are analysed graphically to study the effect of various parameters on the reliability and MTTF of the system. Copyright © 2002 John Wiley & Sons, Ltd.
- Subjects
RELIABILITY in engineering; ENGINEERING; SYSTEMS engineering; INDUSTRIAL engineering; SYSTEM analysis
- Publication
Quality & Reliability Engineering International, 2002, Vol 18, Issue 6, p467
- ISSN
0748-8017
- Publication type
Article
- DOI
10.1002/qre.495