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A multi-objective robust optimization approach based on Gaussian process model

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Abstract

The design and optimization of engineering products is usually multi-objective, constrained and has uncertainties in the inputs. It is of great importance for taking these uncertainties into consideration during the design process because these uncertainties can significantly degrade the performance of optimal solutions and even change the feasibility of obtained solutions. Most existing Multi-objective robust optimization (MORO) approaches rely on outer-inner nested optimization structures, where a large number of function evaluations is required. In this work, a MORO approach based on Gaussian process (GP) model is proposed to ease the computational burden of MORO under interval uncertainty. To consider the interpolation uncertainty introduced by GP model, an objective switching criterion is developed, which is according to whether the robust status of the individual can be changed because of the interpolation uncertainties from GP model or not. Six numerical and engineering cases with different degrees of difficulty are used to demonstrate the applicability and efficiency of the proposed approach. The objective and feasibility robustness of the obtained optimal solutions are verified via the design of experiment.

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Acknowledgements

This research has been supported by the National Natural Science Foundation of China (NSFC) under Grant No. 51505163, No. 51421062 and No. 51323009, National Basic Research Program (973 Program) of China under grant No. 2014CB046703, and the Fundamental Research Funds for the Central Universities, HUST: Grant No. 2016YXMS272.

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Authors and Affiliations

  1. The State Key Laboratory of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science & Technology, Wuhan, 430074, People’s Republic of China

    Qi Zhou, Ping Jiang & Feng Zhang

  2. George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, USA

    Qi Zhou & Xiang Huang

  3. China Ship Development and Design Center, Wuhan, 430064, People’s Republic of China

    Feng Zhang & Taotao Zhou

Authors
  1. Qi Zhou
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  2. Ping Jiang
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  3. Xiang Huang
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  4. Feng Zhang
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  5. Taotao Zhou
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Correspondence to Ping Jiang.

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Zhou, Q., Jiang, P., Huang, X. et al. A multi-objective robust optimization approach based on Gaussian process model. Struct Multidisc Optim 57, 213–233 (2018). https://doi.org/10.1007/s00158-017-1746-9

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  • DOI: https://doi.org/10.1007/s00158-017-1746-9

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