Unified reliability analysis by active learning kriging model combining with random-set based Monte Carlo simulation method

DOI10.1002/nme.5255zbMATH Open1548.62255MaRDI QIDQ6560622

Yongshou Liu, Xufeng Yang, Yi Gao

Publication date: 23 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

reliability analysisactive learningevidence theorykriging model

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Design of statistical experiments (62K99) Monte Carlo methods (65C05) Reliability and life testing (62N05) Foundational topics in statistics (62A99)

Cites Work

• Structural reliability analysis using non-probabilistic convex model
• Efficient sampling methods for global reliability sensitivity analysis
• On the calculation of the bounds of probability of events using infinite random sets
• A sampling-based computational strategy for the representation of epistemic uncertainty in model predictions with evidence theory
• MATLAB\(^{\circledR}\): A language for parallel computing
• Efficient global optimization of expensive black-box functions
• An application of the kriging method in global sensitivity analysis with parameter uncertainty
• On the connection between probability boxes and possibility measures
• Reliability-based design optimization with dependent interval variables
• Reliability analysis for multidisciplinary systems with the mixture of epistemic and aleatory uncertainties

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