Chinese Journal of Ship Research, Volume. 16, Issue 4, 37(2021)
Multi-fidelity sequential constraint updating optimization approach based on confidence intervals and its application
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Table 1. Parameters setting of the multi-fidelity functions
View tableView in ArticleTable 1. Parameters setting of the multi-fidelity functions
测试函数 初始样本点数/个 收敛准则 相对误差/% 最大进化代数 Constrained Branin 6+12 0.2 100 qcp4 12+24 0.2 100 G4 15+50 0.2 100
Table 2. Feasibility ratios of numerical test examples under different benchmark funcitons
View tableView in ArticleTable 2. Feasibility ratios of numerical test examples under different benchmark funcitons
测试函数 可行性比率 总样本点数/个 SCU-CI MF-SCU-CI SCU-CI MF-SCU-CI Constrained Branin 1.000 1.000 84.367 36.83+52.83/10=42.11 qcp4 0.833 1.000 113.667 21.33+33.00/10=24.63 G4 0.733 1.000 79.533 32.33+77.77/10=40.11
Table 3. Design variables and their range of values
View tableView in ArticleTable 3. Design variables and their range of values
设计变量 取值范围/mm 周向肋骨腹板高 ${x_1}$ 200~340 周向肋骨腹板厚 ${x_2}$ 10~24 周向肋骨面板宽 ${x_3}$ 100~240 周向肋骨面板厚 ${x_4}$ 10~24 纵向肋骨腹板高 ${x_5}$ 100~240 纵向肋骨腹板厚 ${x_6}$ 6~20 纵向肋骨面板宽 ${x_7}$ 40~180 纵向肋骨面板厚 ${x_8}$ 6~20 艉段圆锥壳厚 ${x_9}$ 6~20 艏段圆锥壳厚 ${x_{10}}$ 6~20
Table 4. Optimization design results
View tableView in ArticleTable 4. Optimization design results
设计变量 GA SCU-CI MF-SCU-CI 修正前 修正后 修正前 修正后 ${x_1}$ 232 258 245 272 288 ${x_{\rm{2}}}$ 15 14 15 14 16 ${x_{\rm{3}}}$ 119 121 111 109 101 ${x_{\rm{4}}}$ 19 16 14 18 14 ${x_{\rm{5}}}$ 115 110 114 127 105 ${x_{\rm{6}}}$ 9 6 9 8 7 ${x_{\rm{7}}}$ 59 52 58 45 50 ${x_{\rm{8}}}$ 13 11 10 7 11 ${x_{\rm{9}}}$ 17 19 20 18 18 ${x_{1{\rm{0}}}}$ 8 7 8 6 8
Table 5. Result comparision of different methods
View tableView in ArticleTable 5. Result comparision of different methods
参数 GA SCU-CI MF-SCU-CI 修正前 修正后 修正前 修正后 w(x)/t 8 399 8 133 8 424 8 070 8 248 $\hat g{}_1$ − −0.012 9 −0.010 4 −0.002 0 −0.025 1 $\hat g{}_2$ − −0.007 2 −0.005 5 −0.012 7 −0.004 5 $g{}_1$ 0 0.034 5 −0.032 3 0.024 3 −0.011 0 $g{}_2$ −0.000 5 −0.005 7 −0.007 1 −0.010 3 −0.005 5 NS 16 000 518 518 382 382
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Jiachang QIAN, Yuansheng CHENG, Jinlan ZHANG. Multi-fidelity sequential constraint updating optimization approach based on confidence intervals and its application[J]. Chinese Journal of Ship Research, 2021, 16(4): 37
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Received: Jul. 4, 2020
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Published Online: Mar. 28, 2025
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