Research Article
Multiobjective Design Optimization of Grillage Systems according to LRFD-AISC
Table 2
Values of measurement quantities obtained by “Eval. Number = 1,000” and “Pop. Size = 50” for design example 1.
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C. no. | IGD | HV | Spread | AbYSS | NSGAII | PESAII | SPEAII | AbYSS | NSGAII | PESAII | SPEAII | AbYSS | NSGAII | PESAII | SPEAII |
| | Means |
| 1 | 0.1869 | 0.2575 | 0.1299 | 0.1067 | 0.5402 | 0.2284 | 0.7833 | 0.6032 | 0.9089 | 0.9995 | 0.9575 | 0.9875 | 2 | 0.2760 | 0.2543 | 0.1622 | 0.0844 | 0.6963 | 0.8968 | 0.1139 | 0.5999 | 0.9624 | 0.9810 | 0.9993 | 0.9737 | 3 | 0.1626 | 0.2435 | 0.1656 | 0.2599 | 0.5197 | 0.2754 | 0.8486 | 0.4484 | 0.9639 | 0.9562 | 0.9359 | 0.9723 | 4 | 0.1190 | 0.1966 | 0.2630 | 0.1818 | 0.8900 | 0.2818 | 0.4662 | 0.5138 | 0.9689 | 0.9790 | 0.9621 | 0.9852 | 5 | 0.0358 | 0.2511 | 0.0838 | 0.2638 | 0.3302 | 0.8801 | 0.3257 | 0.4077 | 0.9541 | 0.9508 | 0.9403 | 0.9922 | 6 | 0.2551 | 0.0428 | 0.2290 | 0.1455 | 0.2297 | 0.4443 | 0.6302 | 0.1080 | 0.9150 | 0.9917 | 0.9912 | 0.9954 | 7 | 0.1386 | 0.0759 | 0.1524 | 0.0459 | 0.9045 | 0.9045 | 0.8787 | 0.9045 | 0.9636 | 0.9501 | 0.9563 | 0.9458 | 8 | 0.1493 | 0.0540 | 0.0301 | 0.1450 | 0.3109 | 0.6033 | 0.5799 | 0.9206 | 0.9173 | 0.9883 | 0.9635 | 0.9620 |
| | Standard deviations corresponding to best means and assessment of significance levels according to statistical tests |
| | 0.0018 | 0.0011 | 0.0051 | 0.0019 | 0.0022 | 0.0048 | 0.0064 | 0.0013 | 0.0051 | 0.0109 | 0.0103 | 0.0066 | | (−) | (−) | (−) |
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