• CN: 11-2187/TH
  • ISSN: 0577-6686

Journal of Mechanical Engineering ›› 2020, Vol. 56 ›› Issue (24): 219-245.doi: 10.3901/JME.2020.24.219

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Survey of Multi-fidelity Surrogate Models and their Applications in the Design and Optimization of Engineering Equipment

ZHOU Qi1, YANG Yang2, SONG Xueguan3, HAN Zhonghua4,5, CHENG Yuansheng6, HU Jiexiang1, SHU Leshi7,8, JIANG Ping7,8   

  1. 1. School of Aerospace Engineering, Huazhong University of Science & Technology, Wuhan 430074;
    2. College of Engineering, Huazhong Agricultural University, Wuhan 430070;
    3. School of Mechanical Engineering, Dalian University of Technology, Dalian 116024;
    4. National Key Laboratory of Science and Technology on Aerodynamic Design and Research, Northwestern Polytechnical University, Xi'an 710072;
    5. School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072;
    6. School of Naval Architecture and Ocean Engineering, Huazhong University of Science & Technology, Wuhan 430074;
    7. The State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science & Technology, Wuhan 430074;
    8. School of Mechanical Science and Engineering, Huazhong University of Science & Technology, Wuhan 430074
  • Received:2020-03-09 Revised:2020-09-08 Online:2020-12-20 Published:2021-02-05

Abstract: Multi-fidelity (MF) surrogate models have attracted significant attention recently in engineering design optimization since they can make a trade-off between high prediction accuracy and low computational cost by augmenting the small number of expensive high-fidelity (HF) samples with a large number of cheap low-fidelity (LF) data. This work summarizes the state-of-the-art of MF surrogate modeling approaches and their applications in engineering design optimization. Firstly, the concept of three types of commonly used MF surrogate models is provided and the developments of extensions of them are reported. Secondly, the design of experiments for the MF surrogate models are summarized, including the one-shot design and sequential design approaches. Thirdly, two model management strategies, which directly determine the accuracy and efficiency of MF surrogate model-assisted design optimization approaches, are presented. Besides, the hot topics, MF surrogate model-assisted intelligent optimization algorithms and reliability/robust optimization are discussed. Fourthly, the applications of MF surrogate models in the practical engineering design domain are summarized. Finally, some suggestions about the usage of the MF surrogate models and their applications are provided, followed by the discussion of the deserved future work.

Key words: multi-fidelity surrogate model, sequential sampling, equipment design and optimization, sequential optimization, multi-disciplinary design and optimization

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