m-Consecutive-k, l-Out-of-n Systems
m-Consecutive-k, l-Out-of-n Systems
复制标题
m-连续-k、l-n 个系统
DOI：
10.1109/tr.2014.2337091
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发表时间：
2015-03-01
影响因子：
5.9
通讯作者：
Du, Shijia
中科院分区：
文献类型：
--
作者：
Cui, Lirong;Lin, Cong;Du, Shijia
本文给出了线性和循环m-continuous-k，l-out-of- n：F（G）系统的结构函数，该系统由n个线性或循环有序部件组成，使得系统失效（工作）当且仅当连续k个失效（工作）部件至少有m次l-重叠运行.得到了这类F系统和G系统的对偶性，并给出了证明.对于统计独立和马尔可夫相关的情况，利用有限马尔可夫链嵌入方法得到了系统的广义可靠性公式。文中给出了一些关于这些系统可靠性的结果，并给出了一些数值例子来说明本文所得到的结果。
Here we present the structure functions for the linear and circular m-consecutive-k, l-out-of- n:F (G) systems, which consists of n linearly or circularly ordered components such that the system fails (works) iff there are at least m times l-overlapping runs of consecutive k failed (working) components. The duality of these F and G systems is obtained, and the proofs are given. The generalized reliability formulae for the systems are obtained by using the finite Markov chain imbedding approach for statistically independent and Markov-dependent cases. Some miscellaneous results on the reliability of these systems and numerical examples are provided to illustrate the results obtained in the paper.