Table 6 Results about four benchmark engineering design problems
From: Improved Differential Evolution with Shrinking Space Technique for Constrained Optimization
Engineering problems | Method | Best solution f best | Mean solution μ f | Worst solution f worst | Standard deviation σ f |
|---|---|---|---|---|---|
Weld-beam design | ATMDE | 2.380 956 | 2.380 956 | 2.380 956 | 5.88 × 10−11 |
AATM | 2.382 326 | 2.386 976 | 2.391 592 | 2.20 × 10−3 | |
Spring design | ATMDE | 0.012 665 | 0.012 665 | 0.012 665 | 1.05 × 10−15 |
AATM | 0.012 668 | 0.012 708 | 0.012 861 37 | 4.50 × 10−5 | |
Speed reducer | ATMDE | 2994.473 6 | 2994.474 4 | 2994.474 45 | 1.18 × 10−5 |
AATM | 2994.516 7 | 2994.585 4 | 2994.659 79 | 3.30 × 10−2 | |
Three-bar truss design | ATMDE | 263.895 84 | 263.895 84 | 263.895 843 | 2.87 × 10−13 |
AATM | 263.895 84 | 263.896 6 | 263.900 41 | 1.10 × 10−3 |