Research Article
Multiobjective Design Optimization of Grillage Systems according to LRFD-AISC
Table 4
Values of measurement quantities obtained by “Eval. Number = 1,000” and “Pop. Size = 50” for design example 2.
| C. no. | IGD | HV | Spread | AbYSS | NSGAII | PESAII | SPEAII | AbYSS | NSGAII | PESAII | SPEAII | AbYSS | NSGAII | PESAII | SPEAII |
| | Means |
| 1 | 0.2691 | 0.6444 | 0.6619 | 0.2648 | 0.7136 | 0.3225 | 0.8378 | 0.5906 | 0.9937 | 0.9823 | 0.9574 | 0.9883 | 2 | 0.1887 | 0.6476 | 0.3502 | 0.3181 | 0.6183 | 0.5523 | 0.7391 | 0.6604 | 0.9329 | 0.9789 | 0.9246 | 0.9962 | 3 | 0.2875 | 0.6790 | 0.6620 | 0.1192 | 0.3433 | 0.5493 | 0.3569 | 0.3488 | 0.9727 | 0.9884 | 0.9861 | 0.9713 | 4 | 0.0911 | 0.6358 | 0.4162 | 0.6456 | 0.1248 | 0.3304 | 0.6627 | 0.4513 | 0.9493 | 0.9995 | 0.9891 | 0.9223 | 5 | 0.0156 | 0.7093 | 0.2564 | 0.4795 | 0.9158 | 0.3606 | 0.2815 | 0.2409 | 0.9206 | 0.9954 | 0.9394 | 0.9345 | 6 | 0.6834 | 0.2583 | 0.6135 | 0.6393 | 0.6465 | 0.6158 | 0.2304 | 0.7150 | 0.9296 | 0.9879 | 0.9397 | 0.9976 | 7 | 0.5466 | 0.4501 | 0.0118 | 0.5447 | 0.8332 | 0.4923 | 0.7111 | 0.8767 | 0.9889 | 0.9828 | 0.9295 | 0.9274 | 8 | 0.4257 | 0.4587 | 0.5407 | 0.0239 | 0.3983 | 0.3278 | 0.8968 | 0.2815 | 0.9900 | 0.9970 | 0.9456 | 0.9154 |
| | Standard deviations corresponding to best means and assessment of significance levels according to statistical tests |
| | 0.0113 | 0.0087 | 0.0081 | 0.0105 | 0.0101 | 0.0086 | 0.0078 | 0.0118 | 0.0146 | 0.0127 | 0.0134 | 0.0132 | | (−) | (−) | (+) |
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