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
复制标题
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:
影响因子:
--
通讯作者:
Zhao Xian
中科院分区:
文献类型:
--
作者:
Zhu Xiaoyan;Boushaba Mahmoud;Boulahia Abdelmoumene;Zhao Xian
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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影响因子:
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