Research Article
Kriging-Based Space Exploration Global Optimization Method in Aerodynamic Design
Table 4
Average number of function evaluations (over 30 trials) to get a relative error of <1%.
| | Problems | | | | | | |
| | Branin | 22.7 (3.69) | 21.2 (2.52) | 24.5 (1.04) | 23.9 (2.97) | 22.2 (3.01) | 24.6 (1.94) | | Goldstein-Price | 43.6 (4.31) | 44.8 (6.31) | 45.8 (5.15) | 44.9 (3.17) | 45.4 (3.69) | 45.7 (3.74) | | Hartman3 | 23.4 (2.21) | 47.8 (2.38) | 39.9 (3.44) | 22.7 (4.19) | 26.6 (3.22) | 46.9 (4.21) | | Shekel5 | 164.9 (33.3) | 179.5 (42.8) | 166.7 (35.18) | 167.5 (31.09) | 166.7 (32.91) | 188.4 (33.22) | | Hartman6 | 131.1 (11.4) | 166.4 (12.18) | 141.2 (13.55) | 133.3 (12.07) | 132.8 (13.67) | 169.6 (15.71) | | SC | 21.6 (3.46) | 39.8 (4.11) | 26.7 (2.19) | 23.9 (2.64) | 22.4 (3.01) | 39.6 (3.52) | | Shekel7 | 144.3 (22.5) | 187.7 (25.23) | 158.4 (29.45) | 147.6 (23.11) | 146.4 (26.71) | 189.3 (23.21) | | Shekel10 | 137.5 (9.62) | 192.3 (10.74) | 145.8 (9.75) | 141.6 (10.44) | 145.9 (11.09) | 201.8 (12.73) | | Shubert | 124.5 (11.3) | 177.6 (12.08) | 146.1 (11.70) | 129.1 (13.88) | 127.6 (10.76) | 184.4 (11.03) | | Trid10 | 114.7 (13.5) | 118.8 (12.77) | 115.3 (13.8) | 119.7 (13.01) | 121.3 (13.69) | 132.3 (15.01) | | Sphere10 | 107.6 (9.85) | 106.8 (10.18) | 105.2 (12.33) | 106.4 (9.24) | 110.4 (8.35) | 122.6 (8.11) | | F16 | 135.2 (8.57) | 147.5 (10.12) | 134.7 (8.44) | 133.5 (9.69) | 139.6 (7.75) | 157.1 (11.24) |
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