m-Consecutive-k, l-Out-of-n Systems

被引：28

作者：

Cui, Lirong ^{[1
]}

Lin, Cong ^{[1
]}

Du, Shijia ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Management & Econ, Beijing 100081, Peoples R China

来源：

IEEE TRANSACTIONS ON RELIABILITY | 2015年 / 64卷 / 01期

关键词：

Consecutive-k; duality; finite Markov chain imbedding approach; structure function; CHAIN IMBEDDING APPROACH; F-SYSTEM; RELIABILITY EVALUATION; N/F SYSTEM; RUNS;

D O I：

10.1109/TR.2014.2337091

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：386 / 393

页数：8

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