Chinese Journal of Ship Research, Volume. 17, Issue 2, 148(2022)

A robust optimization method based on previous optimization knowledge

Guochen LYU, Yuansheng CHENG, Jiaxiang YI, and Jun LIU
Author Affiliations
  • School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
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    Figures & Tables(10)
    [in Chinese]
    [in Chinese]
    [in Chinese]
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    [in Chinese]
    [in Chinese]
    • Table 1. Parameters of DE-BPOK-RO and DE-RO algorithms

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      Table 1. Parameters of DE-BPOK-RO and DE-RO algorithms

      参数数值参数数值
      外层优化个体数30交叉因子CR0.95
      内层优化个体数30初始近似距离阈值R00.01
      外层最大进化代数150近似点数Ns5
      内层最大进化代数150修正率阈值RC0/%2.5
      变异因子F0.5$\mu $30
    • Table 2. Statistical results of test function-1

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      Table 2. Statistical results of test function-1

      参数DE-RODE-SQP-RODE-BPOK-RO
      [x1, x2][0.194 5,−1.841 3][0.194 4,−1.841 4][0.194 4,−1.842 0]
      $f$(Best)−5.957 2−5.955 9−5.952 9
      $f$(Median)−5.502 4−5.741 9
      $f$(Worst)−2.446 5−1.878 1
      [g1, g2][−3.314 2,−0.655 9][−3.315 2,−0.657 3][−3.317 4,−0.658 2]
      FE(Best)10 860 6901 941 630259 884
      FE(Mean)10 397 268272 421
    • Table 3. Statistical results of test function-2

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      Table 3. Statistical results of test function-2

      参数DE-RODE-BPOK-RO
      x1−1.440 5−1.424 8
      x20.336 90.340 1
      $f$(best)−1.772 8−1.768 5
      $f$(median)−1.772 8−1.732 5
      $f$(worst)2.398 92.503 3
      g1−6.087 8−6.063 8
      g2−1.267 0−1.269 4
      FE(best)26 389 740252 218
      FE(mean)26 167 539227 649
    • Table 4. Statistical results of engineering example

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      Table 4. Statistical results of engineering example

      参数DE-RODE-SQP-RODE-BPOK-RO
      x10.778 40.778 30.778 5
      x20.385 20.384 70.384 8
      x340.330 340.326 840.334 8
      x4199.904 6199.950 0199.843 0
      $f$(best)5.888 7e+35.886 6e+35.887 1e+3
      $f$(median)5.894 0e+35.891 3e+3
      $f$(worst)5.915 3e+36.163 3e+3
      g1−7.419 9e-50−9.486 6e-7
      g24.728 3e-40−3.602 4e-5
      g3−268.684 0−255.167 1−278.869 9
      g4−40.095 4−40.050 0−40.157 0
      FE(best)10 071 2706 921 884569 570
      FE(mean)10 542 942625 832
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    Guochen LYU, Yuansheng CHENG, Jiaxiang YI, Jun LIU. A robust optimization method based on previous optimization knowledge[J]. Chinese Journal of Ship Research, 2022, 17(2): 148

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    Paper Information

    Category: Ship Structure and Fittings

    Received: Jan. 6, 2021

    Accepted: Feb. 28, 2022

    Published Online: Mar. 24, 2025

    The Author Email:

    DOI:10.19693/j.issn.1673-3185.02256

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