Reliability evaluation of a multi-state system with dependent components and imprecise parameters

A structural reliability treatment

Authored by

Lechang Yang, Xinyao Zhang, Zitong Lu, Yuqiang Fu, David Moens, Michael Beer

Abstract

Reliability evaluation of a multi-state system (MSS) with dependent components makes much practical sense because the independent identical assumption (i.i.d.) assumption between different components is sometimes impractical in the context of real engineering cases. The task becomes more challenging if imprecision gets involved due to the pervasive uncertainty. The loss of monotony resulting from the introduction of imprecise parameters makes many analytical reliability methods not applied. To address this challenge, in this paper, we develop a survival signature-based reliability framework for an MSS taking into account both dependence and uncertainty. In our framework, the survival function is derived through some unique structural reliability treatments. Vine copula and imprecise probability are integrated and embedded within the framework to address the case that dependence and imprecision simultaneously appear. Implementation-wise, two numerical simulation algorithms are developed to address some complicated cases in which the analytical solution is not available. For demonstration and validation, both the numerical case and application examples are presented. The results show the superiority of the proposed method and its potential in real engineering use.

Details

Organisation(s)
Institute for Risk and Reliability
External Organisation(s)
University of Science and Technology Beijing
City University of Hong Kong
KU Leuven
University of Liverpool
Tongji University
Type
Article
Journal
Reliability Engineering and System Safety
Volume
250
No. of pages
13
ISSN
0951-8320
Publication date
10.2024
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Safety, Risk, Reliability and Quality, Industrial and Manufacturing Engineering
Electronic version(s)
https://doi.org/10.1016/j.ress.2024.110240 (Access: Closed )
https://lirias.kuleuven.be/retrieve/e50ed565-ced1-40cf-b339-26c75d4b5636 (Access: Open )