Abstract
AbstractWe study the reliability analysis of a repairable system with $m$ operating units, $w$ warm standby units and $R$ 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 ($1-b$) and renege (leave the queue after joining) according to a negative exponential distribution with parameter $r$. 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 $K$ out of $m+w$, in which $K=1,2,\dots,m$. 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.
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