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

作者：Zhu, Xiaoyan^*; Boushaba, Mahmoud; Boulahia, Abdelmoumene; Zhao, Xian

来源：Proceedings of the Institution of Mechanical Engineers - Part O: Journal of Risk and Reliability , 2019, 233(3): 328-337.

DOI：10.1177/1748006X18776189

• Marginal reliability importance
• joint reliability importance
• linear m-consecutive-k-out-of-n system with sparse d
• non-homogeneous Markov-dependent components
• conditional probability generating function

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 14d4n - 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.

• 出版日期2019-6
• 单位中国科学院大学; 北京理工大学