Reliability evaluation of a multi-state system with dependent components and imprecise parameters: A structural reliability treatment

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Authors

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

Research Organisations

External Research Organisations

  • University of Science and Technology Beijing
  • City University of Hong Kong
  • KU Leuven
  • University of Liverpool
  • Tongji University
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Details

Original languageEnglish
Article number110240
Number of pages13
JournalReliability Engineering and System Safety
Volume250
Early online date25 May 2024
Publication statusPublished - Oct 2024

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.

Keywords

    Copula, Dependent components, Imprecise parameters, Multi-state system, Reliability evaluation, Survival signature

ASJC Scopus subject areas

Cite this

Reliability evaluation of a multi-state system with dependent components and imprecise parameters: A structural reliability treatment. / Yang, Lechang; Zhang, Xinyao; Lu, Zitong et al.
In: Reliability Engineering and System Safety, Vol. 250, 110240, 10.2024.

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AU - Yang, Lechang

AU - Zhang, Xinyao

AU - Lu, Zitong

AU - Fu, Yuqiang

AU - Moens, David

AU - Beer, Michael

N1 - Publisher Copyright: © 2024 Elsevier Ltd

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