Allocations of Standby Redundancies to Coherent Systems with Dependent Components
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In the context of industrial engineering, standby allocation strategy is usually adopted by engineers to improve the lifetimes of coherent systems. This paper investigates the optimal allocation strategies of standby redundancies for coherent systems comprised of dependent components having left tail weakly stochastic arrangement increasing or right tail weakly stochastic arrangement increasing lifetimes. For the case of independent matched heterogeneous standby redundancies, it is proved that the better redundancy should be put in the node with weaker[better] component in a series[parallel] system. For the case of independent homogeneous standby redundancies, it is shown that more redundancies should be put in standby with weaker[better] component to improve the lifetime of a series[parallel] system. The results developed here generalize and extend those related ones in the literature to the case of dependent components. Numerical examples are presented to provide guidances for practical use of our theoretical findings. Discussions are also implemented on the explicit configurations of the proposed optimal allocations and other general coherent systems.
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