Global failure probability function estimation based on an adaptive strategy and combination algorithm

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Xiukai Yuan
  • Yugeng Qian
  • Jingqiang Chen
  • Matthias G. R. Faes
  • Marcos A. Valdebenito
  • Michael Beer

Research Organisations

External Research Organisations

  • Xiamen University
  • TU Dortmund University
  • University of Liverpool
  • Tongji University
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Details

Original languageEnglish
Article number108937
Number of pages1
JournalReliability Engineering and System Safety
Volume231
Early online date12 Nov 2022
Publication statusPublished - Mar 2023

Abstract

The failure probability function (FPF) expresses the probability of failure as a function of the distribution parameters associated with the random variables of a reliability problem. Knowledge on this FPF is of much relevance for reliability sensitivity analysis and reliability-based design optimisation. However, its calculation is usually a challenging task. Therefore, this paper presents an efficient approach for estimating the FPF based on an adaptive strategy and a combination algorithm. The proposed approach involves three basic elements: (1) a Weighted Importance Sampling approach, which allows determining local FPF estimates; (2) an adaptive strategy for determining at which realisations of the distribution parameters it is necessary to perform local FPF estimation; and (3) an optimal combination algorithm, which allows to aggregate local FPF estimations together to form a global estimate of the FPF. Test and practical examples are presented to demonstrate the efficiency and feasibility of the proposed approach.

Keywords

    Adaptive strategy, Combination algorithm, Failure probability function, Importance sampling

ASJC Scopus subject areas

Cite this

Global failure probability function estimation based on an adaptive strategy and combination algorithm. / Yuan, Xiukai; Qian, Yugeng; Chen, Jingqiang et al.
In: Reliability Engineering and System Safety, Vol. 231, 108937, 03.2023.

Research output: Contribution to journalArticleResearchpeer review

Yuan X, Qian Y, Chen J, Faes MGR, Valdebenito MA, Beer M. Global failure probability function estimation based on an adaptive strategy and combination algorithm. Reliability Engineering and System Safety. 2023 Mar;231:108937. Epub 2022 Nov 12. doi: 10.1016/j.ress.2022.108937
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abstract = "The failure probability function (FPF) expresses the probability of failure as a function of the distribution parameters associated with the random variables of a reliability problem. Knowledge on this FPF is of much relevance for reliability sensitivity analysis and reliability-based design optimisation. However, its calculation is usually a challenging task. Therefore, this paper presents an efficient approach for estimating the FPF based on an adaptive strategy and a combination algorithm. The proposed approach involves three basic elements: (1) a Weighted Importance Sampling approach, which allows determining local FPF estimates; (2) an adaptive strategy for determining at which realisations of the distribution parameters it is necessary to perform local FPF estimation; and (3) an optimal combination algorithm, which allows to aggregate local FPF estimations together to form a global estimate of the FPF. Test and practical examples are presented to demonstrate the efficiency and feasibility of the proposed approach.",
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author = "Xiukai Yuan and Yugeng Qian and Jingqiang Chen and Faes, {Matthias G. R.} and Valdebenito, {Marcos A.} and Michael Beer",
note = "iukai Yuan would like to acknowledge financial support from NSAF, China (Grant No. U1530122), the Aeronautical Science Foundation of China (Grant No. ASFC-20170968002).",
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TY - JOUR

T1 - Global failure probability function estimation based on an adaptive strategy and combination algorithm

AU - Yuan, Xiukai

AU - Qian, Yugeng

AU - Chen, Jingqiang

AU - Faes, Matthias G. R.

AU - Valdebenito, Marcos A.

AU - Beer, Michael

N1 - iukai Yuan would like to acknowledge financial support from NSAF, China (Grant No. U1530122), the Aeronautical Science Foundation of China (Grant No. ASFC-20170968002).

PY - 2023/3

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KW - Adaptive strategy

KW - Combination algorithm

KW - Failure probability function

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