Random-interval hybrid reliability analysis by a parallel active learning Kriging method with a pseudo weighted expected risk function

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  • University of Liverpool
  • Tongji University
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Original languageEnglish
Title of host publicationProceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022
EditorsMichael Beer, Enrico Zio, Kok-Kwang Phoon, Bilal M. Ayyub
Pages508-514
Number of pages7
Publication statusPublished - 2022
Event8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022 - Hannover, Germany
Duration: 4 Sept 20227 Sept 2022

Publication series

NameProceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022

Abstract

Both random and interval variables can coexist in a single reliability problem. Such cases could pose a serious challenge for existing reliability analysis methods. In this paper, we present a parallel active learning Kriging method for hybrid reliability analysis under both random and interval variables. The key contribution of the proposed method is developing a parallel active learning strategy that can identify a batch of points at eacn iteration, and hence parallel computing. This is achieved by proposing a new learning function, called pseudo weighted expected risk function (PWERF), which is based on the use of the expected risk function, an influence function and the joint probability function of basis random variables. Once a predefined stopping criterion is satisfied, the lower and upper-bounds of the failure probability can be estimated from the Kriging model as a surrogate for the true performance function. Two numerical examples are employed to demonstrate the performance of the proposed method in comparison with an existing method.

Keywords

    failure probability bounds, hybrid reliability analysis, Kriging model, parallel computing

ASJC Scopus subject areas

Cite this

Random-interval hybrid reliability analysis by a parallel active learning Kriging method with a pseudo weighted expected risk function. / Liu, J.; Dang, C.; Beer, M.
Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022. ed. / Michael Beer; Enrico Zio; Kok-Kwang Phoon; Bilal M. Ayyub. 2022. p. 508-514 (Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Liu, J, Dang, C & Beer, M 2022, Random-interval hybrid reliability analysis by a parallel active learning Kriging method with a pseudo weighted expected risk function. in M Beer, E Zio, K-K Phoon & BM Ayyub (eds), Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022. Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022, pp. 508-514, 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022, Hannover, Germany, 4 Sept 2022. https://doi.org/10.3850/978-981-18-5184-1_MS-15-221-cd
Liu, J., Dang, C., & Beer, M. (2022). Random-interval hybrid reliability analysis by a parallel active learning Kriging method with a pseudo weighted expected risk function. In M. Beer, E. Zio, K.-K. Phoon, & B. M. Ayyub (Eds.), Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022 (pp. 508-514). (Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022). https://doi.org/10.3850/978-981-18-5184-1_MS-15-221-cd
Liu J, Dang C, Beer M. Random-interval hybrid reliability analysis by a parallel active learning Kriging method with a pseudo weighted expected risk function. In Beer M, Zio E, Phoon KK, Ayyub BM, editors, Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022. 2022. p. 508-514. (Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022). doi: 10.3850/978-981-18-5184-1_MS-15-221-cd
Liu, J. ; Dang, C. ; Beer, M. / Random-interval hybrid reliability analysis by a parallel active learning Kriging method with a pseudo weighted expected risk function. Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022. editor / Michael Beer ; Enrico Zio ; Kok-Kwang Phoon ; Bilal M. Ayyub. 2022. pp. 508-514 (Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022).
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