A linear m-consecutive-k-out-of-n system with sparse d of non-homogeneous Markov-dependent components

A linear m-consecutive-k-out-of-n system with sparse d of non-homogeneous Markov-dependent components
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具有稀疏 d 的非齐次马尔可夫相关分量的线性 m-连续 k-out-of-n 系统

DOI:
10.1177/1748006x18776189
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发表时间:
2019-06
期刊:
Proceedings of the Institution of Mechanical Engineers - Part O: Journal of Risk and Reliability
影响因子:
--
通讯作者:
Zhao Xian
Zhao Xian
中科院分区:
其他
文献类型:
--
作者:
Zhu Xiaoyan;Boushaba Mahmoud;Boulahia Abdelmoumene;Zhao Xian

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考虑稀疏d的m-连续k取n:F(G)系统中的非齐次马氏依赖分量,系统由n个线性序分量组成.两个失效部件是稀疏d连续的,当且仅当两个失效部件之间最多有d个工作部件,且稀疏d的m-连续k取n:F系统失效,当且仅当存在至少m个不重叠的k个连续失效部件的运行,其中稀疏d为1 <$d <$n-k。利用条件概率母函数方法,导出了F系统和相应的G系统的系统可靠度、边际可靠度重要性测度和联合可靠度重要性测度的统一闭式公式。我们提出的数值例子来证明使用的公式。沿着本文的工作,我们从系统可靠性、边际可靠性重要度和联合可靠性重要度三个方面总结了马尔可夫依赖部件的召唤k系统的工作。
Consider non-homogeneous Markov-dependent components in an m-consecutive-k-out-of-n:F (G) system with sparse d , which consists of n linearly ordered components. Two failed components are consecutive with sparse d if and if there are at most d working components between the two failed components, and the m-consecutive-k-out-of-n:F system with sparse d fails if and if there exist at least m non-overlapping runs of k consecutive failed components with sparse d for 1 ⩽ d ⩽ n − k . We use conditional probability generating function method to derive uniform closed-form formulas for system reliability, marginal reliability importance measure, and joint reliability importance measure for such the F system and the corresponding G system. We present numerical examples to demonstrate the use of the formulas. Along with the work in this article, we summarize the work on consecutive-k systems of Markov-dependent components in terms of system reliability, marginal reliability importance, and joint reliability importance.
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