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A novel maximum volume sampling model for reliability analysis
Applied Mathematical Modelling ( IF 5 ) Pub Date : 2021-10-20 , DOI: 10.1016/j.apm.2021.10.025
Zeng Meng , Yongsheng Pang , Zhigen Wu , Shanhong Ren , Ali Riza Yildiz

In this study, a maximum volume sampling model is proposed to improve the accuracy and efficiency of reliability computation. An ellipsoid is constructed with the maximum volume approach in a safe domain, and a new maximum volume optimization method is proposed. The sampling model only computes the samples outside the ellipsoid, which considerably enhances computational efficiency. Furthermore, the uniform sampling strategy and Givens transformation are adopted to efficiently solve the maximum volume optimization model. A series system example, a three-dimensional rock slope example, and an arch bridge example are tested to verify the validity of the proposed maximum volume sampling model. The results indicate that the maximum volume sampling model displays high accuracy and efficiency.



中文翻译:

一种用于可靠性分析的新型最大体积采样模型

在这项研究中,提出了一种最大体积采样模型,以提高可靠性计算的准确性和效率。在安全域中采用最大体积法构造椭球,提出了一种新的最大体积优化方法。采样模型只计算椭球外的样本,大大提高了计算效率。此外,采用统一采样策略和Givens变换来有效求解最大体积优化模型。对串联系统实例、三维岩石边坡实例和拱桥实例进行了测试,以验证所提出的最大体积采样模型的有效性。结果表明,最大体积采样模型具有较高的准确性和效率。

更新日期:2021-11-03
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