Minimal repair of failed components in coherent systems
Minimal repair of failed components in coherent systems
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DOI：
10.1016/j.ejor.2019.06.013
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发表时间：
2019-12
期刊：
影响因子：
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通讯作者：
J. Navarro;A. Arriaza;A. Suárez-Llorens
中科院分区：
文献类型：
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作者：
J. Navarro;A. Arriaza;A. Suárez-Llorens
在许多实际系统中，最小修理更换是一个合理的假设。在这种假设下，一个失效的组件被另一个可靠性与失效前组件的可靠性相同的组件所取代，即，使用相同年龄的组件。本文研究相干系统的最小修复问题。我们考虑独立和相关组件的情况。研究了三种替换策略。在第一种方法中，系统中的第一个故障组件被最小限度地修复，而在第二种方法中，我们修复导致系统故障的组件。一个新的技术的基础上的关联变换被用来计算系统的可靠性下得到这些更换政策。在第三种情况下，我们考虑的更换政策，分配最低限度的维修系统中的一个固定的组成部分。我们比较了这三个选项在不同的随机标准和不同的系统结构。特别地，我们给出了所有具有1-4个独立同分布分量的相干系统的最优策略。
The minimal repair replacement is a reasonable assumption in many practical systems. Under this assumption a failed component is replaced by another one whose reliability is the same as that of the component just before the failure, i.e., a used component with the same age. In this paper we study the minimal repair in coherent systems. We consider both the cases of independent and dependent components. Three replacement policies are studied. In the first one, the first failed component in the system is minimally repaired while, in the second one, we repair the component which causes the system failure. A new technique based on the relevation transform is used to compute the reliability of the systems obtained under these replacement policies. In the third case, we consider the replacement policy which assigns the minimal repair to a fixed component in the system. We compare these three options under different stochastic criteria and for different system structures. In particular, we provide the optimal strategies for all the coherent systems with 1–4 independent and identically distributed components.