Research Article
Multiobjective Design Optimization of Grillage Systems according to LRFD-AISC
Table 5
Values of measurement quantities obtained by “Eval. Number = 5,000” and “Pop. Size = 100” for design example 2.
| C. no. | IGD | HV | Spread | AbYSS | NSGAII | PESAII | SPEAII | AbYSS | NSGAII | PESAII | SPEAII | AbYSS | NSGAII | PESAII | SPEAII |
| | Means |
| 1 | 0.0078 | 0.0205 | 0.0196 | 0.0144 | 0.8935 | 0.4759 | 0.6101 | 0.3714 | 0.8356 | 0.9425 | 0.9759 | 0.9108 | 2 | 0.0154 | 0.0216 | 0.0073 | 0.0206 | 0.4658 | 0.9278 | 0.2036 | 0.4564 | 0.9852 | 0.9998 | 0.8627 | 0.8852 | 3 | 0.0155 | 0.0182 | 0.0098 | 0.0198 | 0.9419 | 0.6556 | 0.9395 | 0.9400 | 0.8749 | 0.9976 | 0.9044 | 0.8672 | 4 | 0.0196 | 0.0193 | 0.0071 | 0.0161 | 0.4945 | 0.6204 | 0.8622 | 0.7424 | 0.8564 | 0.9875 | 0.8359 | 0.9132 | 5 | 0.0170 | 0.0216 | 0.0167 | 0.0072 | 0.8976 | 0.2828 | 0.4429 | 0.9374 | 0.8998 | 0.9508 | 0.8497 | 0.9224 | 6 | 0.0133 | 0.0100 | 0.0093 | 0.0102 | 0.2886 | 0.2052 | 0.5480 | 0.5134 | 0.8705 | 0.9820 | 0.9869 | 0.8844 | 7 | 0.0103 | 0.0117 | 0.0086 | 0.0089 | 0.2690 | 0.4391 | 0.5669 | 0.2409 | 0.8648 | 0.9926 | 0.9053 | 0.9773 | 8 | 0.0088 | 0.0156 | 0.0172 | 0.0149 | 0.5942 | 0.8762 | 0.6804 | 0.2600 | 0.8942 | 0.9521 | 0.9316 | 0.8775 |
| | Standard deviations corresponding to best means and assessment of significance levels according to statistical tests |
| | 0.0048 | 0.0064 | 0.0027 | 0.0062 | 0.0038 | 0.0075 | 0.0074 | 0.0062 | 0.0880 | 0.0101 | 0.0980 | 0.0992 | | (+) | (−) | (+) |
|
|