Research Article
Multiobjective Design Optimization of Grillage Systems according to LRFD-AISC
Table 6
Values of measurement quantities obtained by “Eval. Number = 1,000” and “Pop. Size = 50” for design example 3.
| C. no. | IGD | HV | Spread | AbYSS | NSGAII | PESAII | SPEAII | AbYSS | NSGAII | PESAII | SPEAII | AbYSS | NSGAII | PESAII | SPEAII |
| | Means |
| 1 | 0.7590 | 0.6401 | 0.3972 | 0.3320 | 0.7128 | 0.2029 | 0.1523 | 0.1647 | 0.9763 | 0.9998 | 0.9883 | 0.9851 | 2 | 0.9933 | 0.6522 | 0.4794 | 0.7487 | 0.8256 | 0.5898 | 0.3523 | 0.2716 | 0.9929 | 0.9984 | 0.9962 | 0.9903 | 3 | 0.3567 | 0.8270 | 0.5650 | 0.6444 | 0.9485 | 0.3551 | 0.9373 | 0.3144 | 0.9904 | 0.9999 | 0.9856 | 0.9965 | 4 | 0.7529 | 0.8842 | 0.4896 | 0.1692 | 0.6894 | 0.5478 | 0.9319 | 0.6061 | 0.9678 | 0.9984 | 0.9941 | 0.9705 | 5 | 0.0258 | 0.7006 | 0.2698 | 0.9522 | 0.5309 | 0.2025 | 0.7388 | 0.6775 | 0.9764 | 0.9986 | 0.9880 | 0.9710 | 6 | 0.5970 | 0.4879 | 0.9897 | 0.5433 | 0.1889 | 0.5132 | 0.7572 | 0.7575 | 0.9869 | 0.9979 | 0.9997 | 0.9827 | 7 | 0.4306 | 0.9367 | 0.1837 | 0.0358 | 0.4930 | 0.5698 | 0.4635 | 0.9287 | 0.9685 | 0.9978 | 0.9938 | 0.9714 | 8 | 0.7307 | 0.8602 | 0.0204 | 0.5786 | 0.5595 | 0.3736 | 0.8420 | 0.4111 | 0.9761 | 0.9986 | 0.9960 | 0.9804 |
| | Standard deviations corresponding to best means and assessment of significance levels according to statistical tests |
| | 0.0205 | 0.0258 | 0.0227 | 0.0187 | 0.0403 | 0.0327 | 0.0512 | 0.0209 | 0.0208 | 0.0158 | 0.0257 | 0.0128 | | (−) | (−) | (−) |
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