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Srinivasa Rao and Naikan (2014) combined the Markov approach with system dynamics simulation approach to study the reliability of a repairable system with standby strategy.
However, none of these studies include the choice of strategy in a k-out-of-n system and considered only active or standby strategy in their models.
An assumption that commonly made in the literature is that the type of redundancy strategy for each subsystem is predetermined and that either the active or the standby strategy may be used for each subsystem.
As we consider a system with a choice of redundancy strategies, the objective function consists of the reliability of k-out-of-n system with active and standby strategy.
With imperfect switching, for component j with special characteristics (switching reliability, time-to-failure distribution), there is a maximum redundancy level, (n_{ij}^{{prime }}), where the reliability of the standby strategy is greater or equal to that of the active strategy.
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These strategies are called active and standby strategies.
However, all of these studies assumed predetermined active or standby strategies for each subsystem.
Another interesting extension may be the case where both active and standby strategies are simultaneously used in the subsystems.
These new studies show that mixed strategy in more powerful than active and standby strategies and leads to higher reliability values.
In contrast to the existing approaches that often consider a predetermined strategy for each subsystem, we considered both active and standby strategies and developed a model to select the best strategy for each subsystem.
Therefore, in this paper, a k-out-of-n system is considered when the redundancy strategy is a decision variable and we have both active and standby strategies in the model.
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