 Reliability for consecutive-k-out-of-n: F systems with shared components between adjacent subsystemsJuan Yin and Lirong Cui Reliability Engineering and System Safety, 2021, vol. 210, issue C Abstract: Consecutive-k systems have well known for outstanding developments and extensive applications. In this paper, we propose consecutive-k-out-of-n: F systems with shared components between adjacent subsystems which extend the consecutive-k-out-of-n: F linear and circular models and the consecutive-kr-out-of-nr: F linear zigzag structure and circular polygon structure. They are referred to as an extension of linear zigzag structure and an extension of circular polygon structure respectively. The idea of computation for reliability is to cut the system into m subsystems and to get the reliability of every subsystem, then to obtain the system reliability in terms of reliabilities of all subsystems, the probability of occurrence of each event and the system structure. Based on this view, we obtain the reliability for the above two structures by combining the sum of disjoint products with finite Markov chain imbedding approach (FMCIA). A numerical example demonstrates the efficiency of the proposed method for our new models. Keywords: Linear zigzag structure; Circular polygon structure; Consecutive-k-out-of-n; F system; FMCIA; Sum of disjoint products (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:210:y:2021:i:c:s0951832021000909 DOI: 10.1016/j.ress.2021.107532 Access Statistics for this article Reliability Engineering and System Safety is currently edited by Carlos Guedes Soares More articles in Reliability Engineering and System Safety from Elsevier |
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