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Derivative-Variance Hybrid Global Sensitivity Measure with Optimal Sampling Method Selection

Jiacheng Liu, Haiyun Liu, Cong Zhang (), Jiyin Cao, Aibo Xu and Jiwei Hu
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Jiacheng Liu: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, China
Haiyun Liu: Automotive Institute, Wuhan Technical College of Communication, Wuhan 430065, China
Cong Zhang: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, China
Jiyin Cao: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, China
Aibo Xu: Wuhan Fiberhome Technical Services Co., Ltd., Wuhan 430205, China
Jiwei Hu: Wuhan Fiberhome Technical Services Co., Ltd., Wuhan 430205, China

Mathematics, 2024, vol. 12, issue 3, 1-15

Abstract: This paper proposes a derivative-variance hybrid global sensitivity measure with optimal sampling method selection. The proposed sensitivity measure is as computationally efficient as the derivative-based global sensitivity measure, which also serves as the conservative estimation of the corresponding variance-based global sensitivity measure. Moreover, the optimal sampling method for the proposed sensitivity measure is studied. In search of the optimal sampling method, we investigated the performances of six widely used sampling methods, namely Monte Carlo sampling, Latin hypercube sampling, stratified sampling, Latinized stratified sampling, and quasi-Monte Carlo sampling using the Sobol and Halton sequences. In addition, the proposed sensitivity measure is validated through its application to a rural bridge.

Keywords: sensitivity analysis; sensitivity measure; sampling method; bridge engineering (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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