Allocating Redundancies to k-out-of-n Systems with Independent and Heterogeneous Components
Jinsen Zhuang and
Xiaohu Li
Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 24, 5109-5119
Abstract:
This paper studies the allocation of independent redundancies with a common life distribution to k-out-of-n systems of independent components with non identical life distributions. A sufficient condition is found for allocating more active redundancies to the weaker component to gain a larger lifetime for k-out-of-n systems, and assigning more standby redundancies to the weaker (stronger) components is proved to yield larger lifetime for series (parallel) systems in the sense of the increasing concave (convex) order. Also, the optimal policy is proved to be majorized by all other policies when the system’s components are stochastically ordered.
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:44:y:2015:i:24:p:5109-5119
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DOI: 10.1080/03610926.2013.813046
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