Reliability and importance measures for m-consecutive-k, l-out-of-n system with non-homogeneous Markov-dependent components
Reliability and importance measures for m-consecutive-k, l-out-of-n system with non-homogeneous Markov-dependent components
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DOI：
10.1016/j.ress.2017.05.023
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发表时间：
2017-11
期刊：
影响因子：
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通讯作者：
Xiaoyang Zhu;M. Boushaba;D. Coit;A. Benyahia
中科院分区：
文献类型：
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作者：
Xiaoyang Zhu;M. Boushaba;D. Coit;A. Benyahia
本文研究了一个具有非齐次马氏依赖分量的m-连续k，l-out-of-n系统。Them-continuous-k，l-out-of-n：F系统失效当且仅当至少有m个k个连续失效分量的运行，并且每个运行中最多有l个分量与前一个k个连续失效分量的运行重叠。本文利用概率母函数方法，导出了n中取k，l：F系统的可靠性、单个部件的边际可靠性重要性测度以及部件非齐次马氏相关时两个或多个部件的联合可靠性重要性测度的封闭式公式。我们还将这些结果推广到一个类比连续k，l-out-of-n：G系统，这是通过考虑连续的工作组件。所得结果可简化为齐次马氏相关分量和独立分量的情形。我们提出了一个实际应用中的质量控制和相关的数值例子，演示了使用派生的公式，并提供的见解，他们连续的k，l出的n系统和重要性措施。
We study anm-consecutive-k, l-out-of-nsystem with non-homogenous Markov-dependent components. Them-consecutive-k, l-out-of-n:F system fails if and only if there are at leastmruns ofkconsecutive failed components and each of the runs may have at mostlcomponents overlapping with the previous run ofkconsecutive failed components. Using probability generating function method, we derive closed-form formulas for the reliability of them-consecutive-k, l-out-of-n:F system, the marginal reliability importance measure of a single component, and the joint reliability importance measure of two or more components when components are non-homogenous Markov-dependent. We also extend these results into an analogousm-consecutive-k, l-out-of-n:G system, which is developed by considering consecutive working components. The results can be simplified to the situations of the homogenous Markov-dependent components and the independent components. We present a practical application in quality control and related numerical examples that demonstrate the use of derived formulas and provide the insights on them-consecutive-k, l-out-of-nsystem and the importance measures.