Journal
ENGINEERING OPTIMIZATION
Volume 54, Issue 5, Pages 805-829Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/0305215X.2021.1900837
Keywords
Failure probability; system; kriging; importance sampling; probabilistic classification function
Funding
- National Natural Science Foundation of China [NSFC 52075442]
- National Science and Technology Major Project [2017-IV-0009-0046]
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The proposed method utilizes a compound kriging-based importance sampling strategy to efficiently estimate the failure probability of systems with multiple failure modes. The algorithm involves two stages of constructing and refining kriging models to estimate the system failure probability. The system failure probability is estimated by the product of component augmented failure probabilities and a correction factor.
The compound kriging-based importance sampling (IS) strategy is proposed for the efficient estimation of failure probability of systems with multiple failure modes. The proposed method is based on the IS probability density function of each failure mode constructed by the kriging model, where the probabilistic classification function is treated as a surrogate model for the actual failure indicator function. The whole algorithm of the proposed method can be divided into two stages. First, the kriging model is constructed to estimate the component augmented failure probabilities and obtain quasi-optimal IS samples. Secondly, the constructed kriging model is further refined based on these quasi-optimal IS samples to estimate the correction factor. Finally, the system failure probability is estimated by the product of the component augmented failure probabilities and the correction factor. The system reliability analysis results of the presented examples illustrate the feasibility of the proposed method.
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