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Error-informed parallel adaptive Kriging method for time-dependent reliability analysis

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

Externe Organisationen

  • Central South University of Forestry & Technology
  • Technische Universität Dortmund
  • The University of Liverpool
  • Tongji University
  • Changsha University of Science and Technology

Details

OriginalspracheEnglisch
Aufsatznummer111194
Seitenumfang12
FachzeitschriftReliability Engineering and System Safety
Jahrgang262
Frühes Online-Datum9 Mai 2025
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 9 Mai 2025

Abstract

Active learning single-loop Kriging methods have gained significant attention for time-dependent reliability analysis. However, it still remains a challenge to estimate the time-dependent failure probability efficiently and accurately in practical engineering problems. This study proposes a new method, called ‘Error-informed Parallel Adaptive Kriging’ (EPAK) for efficient time-dependent reliability analysis. First, a sequential variance-amplified importance sampling technique is developed to estimate the time-dependent failure probability based on the trained global response Kriging model of the true performance function. Then, the maximum relative error of the time-dependent failure probability is derived to facilitate the construction of stopping criterion. Finally, a parallel sampling strategy is proposed through combining the relative error contribution and an influence function, which enables parallel computing and reduces the unnecessary limit state function evaluations caused by excessive clustering. The superior performance of the proposed method is validated through several examples. Numerical results demonstrate that the method can accurately estimate the time-dependent failure probability with higher efficiency than several compared methods.

ASJC Scopus Sachgebiete

Zitieren

Error-informed parallel adaptive Kriging method for time-dependent reliability analysis. / Hu, Zhuo; Dang, Chao; Wang, Da et al.
in: Reliability Engineering and System Safety, Jahrgang 262, 111194, 10.2025.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Hu Z, Dang C, Wang D, Beer M, Wang L. Error-informed parallel adaptive Kriging method for time-dependent reliability analysis. Reliability Engineering and System Safety. 2025 Okt;262:111194. Epub 2025 Mai 9. doi: 10.1016/j.ress.2025.111194
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T1 - Error-informed parallel adaptive Kriging method for time-dependent reliability analysis

AU - Hu, Zhuo

AU - Dang, Chao

AU - Wang, Da

AU - Beer, Michael

AU - Wang, Lei

N1 - Publisher Copyright: © 2025 Elsevier Ltd

PY - 2025/5/9

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N2 - Active learning single-loop Kriging methods have gained significant attention for time-dependent reliability analysis. However, it still remains a challenge to estimate the time-dependent failure probability efficiently and accurately in practical engineering problems. This study proposes a new method, called ‘Error-informed Parallel Adaptive Kriging’ (EPAK) for efficient time-dependent reliability analysis. First, a sequential variance-amplified importance sampling technique is developed to estimate the time-dependent failure probability based on the trained global response Kriging model of the true performance function. Then, the maximum relative error of the time-dependent failure probability is derived to facilitate the construction of stopping criterion. Finally, a parallel sampling strategy is proposed through combining the relative error contribution and an influence function, which enables parallel computing and reduces the unnecessary limit state function evaluations caused by excessive clustering. The superior performance of the proposed method is validated through several examples. Numerical results demonstrate that the method can accurately estimate the time-dependent failure probability with higher efficiency than several compared methods.

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KW - Active learning

KW - Estimation error

KW - Importance sampling

KW - Kriging model

KW - Parallel computing

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