Stochastic comparisons of replacement policies in coherent systems under minimal repair
Stochastic comparisons of replacement policies in coherent systems under minimal repair
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DOI：
10.1002/nav.21820
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发表时间：
2018-09
期刊：
影响因子：
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通讯作者：
A. Arriaza;J. Navarro;A. Suárez-Llorens
中科院分区：
文献类型：
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作者：
A. Arriaza;J. Navarro;A. Suárez-Llorens
本文研究了在不同修复策略下得到的相干系统的随机比较。我们考虑部件的最小修理，也就是说，一个失效的部件被另一个与被替换的部件相似（即，它具有相同的分布）且具有相同的年龄的部件所取代。在这些假设下，我们研究了如何确定最优的替代政策。提出了两种通用的方法，一种用于具有相同分布组件的系统，另一种用于具有有序（不同随机意义）组件的系统。这两种方法都可以应用于具有独立或依赖组件的系统。我们使用这些方法来确定在某些特定情况下的最佳修复策略。我们特别关注具有独立或相关组件的串联和并联系统。给出了寻找最优替代策略（当存在时）的算法。
In this paper, we study stochastic comparisons of the coherent systems obtained under different repair policies. We consider minimal repairs of the components, that is, a failed component is replaced by another component which is similar (ie, it has the same distribution) to the replaced one and with the same age. Under these assumptions, we study how to determine the best replacement policies. Two general methods are proposed, one for systems with identically distributed components and another one for systems with ordered (in different stochastic senses) components. Both methods can be applied to systems with independent or dependent components. We use these methods to determine the optimal repair policies in some particular cases. We pay special attention to series and parallel systems with independent or dependent components. An algorithm to find the optimal replacement policy (when it exists) is provided.