Research Article
Multiobjective Design Optimization of Grillage Systems according to LRFD-AISC
Table 7
Values of measurement quantities obtained by “Eval. Number = 5,000” and “Pop. Size = 100” for design example 3.
| C. no. | IGD | HV | Spread | AbYSS | NSGAII | PESAII | SPEAII | AbYSS | NSGAII | PESAII | SPEAII | AbYSS | NSGAII | PESAII | SPEAII |
| | Means |
| 1 | 0.0101 | 0.0225 | 0.0198 | 0.0157 | 0.9657 | 0.9199 | 0.8154 | 0.8459 | 0.8168 | 0.9494 | 0.8772 | 0.8885 | 2 | 0.0180 | 0.0180 | 0.0195 | 0.0213 | 0.9229 | 0.9360 | 0.9430 | 0.9070 | 0.9554 | 0.9498 | 0.9281 | 0.9461 | 3 | 0.0158 | 0.0184 | 0.0233 | 0.0140 | 0.9174 | 0.8776 | 0.9623 | 0.9582 | 0.8481 | 0.9586 | 0.8806 | 0.9272 | 4 | 0.0180 | 0.0198 | 0.0124 | 0.0148 | 0.9292 | 0.9475 | 0.8601 | 0.9626 | 0.9224 | 0.9556 | 0.8939 | 0.9258 | 5 | 0.0154 | 0.0223 | 0.0212 | 0.0174 | 0.8212 | 0.9346 | 0.9198 | 0.8180 | 0.9369 | 0.9527 | 0.9491 | 0.9320 | 6 | 0.0149 | 0.0192 | 0.0164 | 0.0148 | 0.8577 | 0.9592 | 0.8790 | 0.9425 | 0.9531 | 0.9583 | 0.8998 | 0.9146 | 7 | 0.0204 | 0.0207 | 0.0153 | 0.0143 | 0.8389 | 0.9020 | 0.8794 | 0.8513 | 0.8995 | 0.9581 | 0.9249 | 0.9582 | 8 | 0.0102 | 0.0193 | 0.0192 | 0.0215 | 0.8378 | 0.8793 | 0.8332 | 0.8653 | 0.9040 | 0.9499 | 0.9373 | 0.8886 |
| | Standard deviations corresponding to best means and assessment of significance levels according to statistical tests |
| | 0.0079 | 0.0084 | 0.0128 | 0.0162 | 0.0138 | 0.0174 | 0.0181 | 0.0219 | 0.0142 | 0.0209 | 0.0251 | 0.0326 | | (+) | (−) | (+) |
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