Chinese Journal of Ship Research, Volume. 16, Issue 4, 53(2021)
Optimization design of antenna cover of deeply submerged body based onparallel variable-fidelity LCB algorithm
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Table 1. Optimization results of the proposed approach and comparable methods
View tableView in ArticleTable 1. Optimization results of the proposed approach and comparable methods
测试函数 测试方法 添加的低精度样本数 添加的高精度样本数 迭代次数 等价高精度样本数均值 等价高精度样本数标准差 绝对误差 Hartman 3 VF-EI 2.3 12.9 15.2 13.4 6.62 0.0008 PEI / 37.5 7.5 37.5 13.99 0.0006 PVF-LCB 29.5 13.1 4.0 19.0 5.27 0.0006 Ackley 5 VF-EI 132.0 20.0 152.0 46.4 14.79 0.100 PEI / 115.0 20.0 115.0 0.00 0.309 PVF-LCB 124.5 21.6 9.3 46.5 9.44 0.089 Gano 2 VF-EI 21.9 9.1 31.0 13.5 6.53 0.008 PEI / 73.5 14.7 73.5 29.16 0.003 PVF-LCB1 37.0 30.6 7.6 38.0 6.32 0.001 PVF-LCB2 50.0 41.0 10.2 51.0 5.87 0.000 PVF-LCB3 51.0 41.8 10.4 52.0 19.74 0.001
Table 2. Optimization results of the proposed approach and comparable methods
View tableView in ArticleTable 2. Optimization results of the proposed approach and comparable methods
计算资源数 测试方法 设计变量 L, H, D 最优目标值 /105 mm3 最大冲击力 /kN 最大应变 添加低精度 样本数 添加高精度 样本数 迭代次数 等价高精度 样本数 * “−”表示该方法没有搜索到可行优化解 $q = 1$ AEI (161.141 7,47.415 7,183.868 0) 11.85 16.926 2 0.744 6 48 22 79 30 VF-EI (150.000 0,44.917 0,152.715 7) 8.09 16.886 6 0.992 9 28 24 54 30.67 $q = 2$ KB-CEI (195.812 3,25.826 8,142.485 3) 5.01 16.251 5 0.998 5 / 20 10 20 PCEI (195.233 8,25.828 8,141.391 8) 4.93 14.729 8 0.996 4 / 20 10 20 PVF-LCB1 (195.119 6,25.001 1,175.355 5) 6.35 14.260 1 0.993 0 42 13 10 20 PVF-LCB2 (158.191 6,41.011 1,166.659 4) 8.61 16.958 7 0.883 8 42 13 10 20 PVF-LCB3 (151.170 1,26.395 8,150.343 5) 3.80 11.677 2 0.946 9 24 16 10 20 $q = 3$ KB-CEI −* −* −* −* / 30 10 30 PCEI (151.221 3,44.145 2,173.773 8) 9.40 16.748 4 0.948 5 / 30 10 30 PVF-LCB1 (151.882 6,28.578 1,162.725 6) 7.34 15.496 4 0.884 1 42 23 10 30 PVF-LCB2 (150.012 9,39.970 1,168.393 0) 7.90 15.561 1 0.990 7 30 25 10 30 PVF-LCB3 (150.000 0,25.175 6,172.628 5) 4.32 11.195 7 0.997 3 42 23 10 30 $q = 6$ KB-CEI −* −* −* −* / 30 5 30 PCEI (150.000 0,44.360 4,140.000 0) 7.12 16.499 6 0.970 6 / 30 5 30 PVF-LCB1 (196.861 4,25.541 1,147.014 6) 5.19 14.691 7 0.991 7 102 13 5 30 PVF-LCB2 (151.574 9,41.375 6,163.909 2) 8.08 16.313 3 0.878 2 30 25 5 30 PVF-LCB3 (195.989 3,25.000 2,141.115 6) 4.71 14.874 2 0.960 5 78 17 5 30
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Ji CHENG, Haipeng WEI, Yi LIN, Huaping LIU, Leshi SHU, Qi ZHOU, Ping JIANG. Optimization design of antenna cover of deeply submerged body based onparallel variable-fidelity LCB algorithm[J]. Chinese Journal of Ship Research, 2021, 16(4): 53
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Received: Jul. 9, 2020
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Published Online: Mar. 28, 2025
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