Reliability Evaluation for a Multi-State System Under Stress-Strength Setup

Reliability Evaluation for a Multi-State System Under Stress-Strength Setup
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DOI:
10.1080/03610920903411242
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发表时间:
2011-01
期刊:
Communications in Statistics - Theory and Methods
影响因子:
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通讯作者:
S. Eryilmaz;Funda Iscioglu
S. Eryilmaz;Funda Iscioglu
中科院分区:
其他
文献类型:
--
作者:
S. Eryilmaz;Funda Iscioglu

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工程应用中最常用的两种可靠性模型是二进制k-out-of-n:G和连续k-out-of-n:G系统。多状态k-out-of-n:G和多状态连续k-out-of-n:G系统作为这些系统的扩展已经被提出,它们被发现是建模工程系统的更灵活的工具。在这篇文章中,多状态系统,特别是,多状态k-out-of-n:G和多状态连续k-out-of-n:G,被认为是在应力强度设置。考虑到其强度高于(低于)环境中可用的多个应力的组件的数量,对系统的状态进行分类。精确的状态概率,并说明了各种应力强度分布的结果。最大似然估计的状态概率。
The two most commonly used reliability models in engineering applications are binary k-out-of-n:G and consecutive k-out-of-n:G systems. Multi-state k-out-of-n:G and multi-state consecutive k-out-of-n:G systems have been proposed as an extension of these systems and they have been found to be more flexible tool for modeling engineering systems. In this article, multi-state systems, in particular, multi-state k-out-of-n:G and multi-state consecutive k-out-of-n:G, are considered in a stress-strength setup. The states of the system are classified considering the number of components whose strengths above (below) the multiple stresses available in an environment. The exact state probabilities are provided and the results are illustrated for various stress-strength distributions. Maximum likelihood estimators of state probabilities are also presented.