Design Optimization with Variable Screening by Interval-Based Sensitivity Analysis
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 10, Issue 3
Abstract
Design optimization problems are very common in engineering practice. Determining their solution may be challenging when many design variables are involved. A means to cope with such large number of design variables consists of first screening influential variables which drive the objective function the most. Then the optimization is carried out with respect to the influential variables while the other noninfluential variables are fixed at specific values. There is no doubt that an accurate identification of influential variables is crucial for high-dimensional optimization problems. In this paper, an interval-based sensitivity index is introduced to identify the influential variables. It was compared theoretically with two types of existing indices. The performance of these indices for dimensionality reduction in optimization was examined using a test function. The proposed procedure for high-dimensional design optimization with variable screening was analyzed considering two illustrative examples. Then the proposed strategy was applied to a practical engineering problem involving an aeronautical hydraulic pipeline. The results show that the interval sensitivity index is an effective tool and is superior to the other two existing sensitivity indices for variable screening in design optimization.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work is supported by the National Natural Science Foundation of China (Grant No. NSFC51975476). The first author is sponsored by Innovation Foundation for Doctor Dissertation of Northwestern Polytechnical University (Grant No. CX2022012).
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ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 10 • Issue 3 • September 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Nov 2, 2023
Accepted: Jan 22, 2024
Published online: May 21, 2024
Published in print: Sep 1, 2024
Discussion open until: Oct 21, 2024
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