Reliability Optimization and Importance Analysis of Circular-Consecutive k-out-of-n System. (15th August 2017)

• Record Type: Journal Article
• Authors: Zhang, Shuai; Zhao, Jiang-bin; Li, Hong-guang; Wang, Ning
• Other Names: Bigaud David Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2017(2017)
• Publication Date: 2017-08-15
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2017/1831537
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The circular-consecutive k -out-of-n :F ( G ) system (Cir/Con/k /n :F ( G ) system) usually consists of n components arranged in a circle where the system fails (works) if consecutive k components fail (work). The optimization of the Cir/Con/k /n system is a typical case in the component assignment problem. In this paper, the Birnbaum importance-based genetic algorithm (BIGA), which takes the advantages of genetic algorithm and Birnbaum importance, is introduced to deal with the reliability optimization for Cir/Con/k /n system. The detailed process and property of BIGA are put forward at first. Then, some numerical experiments are implemented, whose results are compared with two classic Birnbaum importance-based search algorithms, to evaluate the effectiveness and efficiency of BIGA in Cir/Con/k /n system. Finally, three typical cases of Cir/Con/k /n systems are introduced to demonstrate the relationships among the component reliability, optimal permutation, and component importance.