Table 9 RT metric evaluation across algorithms using DTLZ problems.
Problem | Objectives (M) | Decision Variables (D) | MaOSSO (Mean ± STD, ms) | NSGA-III (Mean ± STD, ms) | RVEA (Mean ± STD, ms) | NMPSO (Mean ± STD, ms) | MOEA/D-DE (Mean ± STD, ms) |
|---|---|---|---|---|---|---|---|
DTLZ1 | 5 | 9 | 12.5 ± 0.9 | 23.4 ± 1.2 | 25.7 ± 1.4 | 18.3 ± 1.1 | 29.8 ± 1.7 |
8 | 12 | 16.8 ± 1.1 | 29.6 ± 1.5 | 33.2 ± 1.8 | 21.7 ± 1.3 | 37.5 ± 2.1 | |
10 | 14 | 21.4 ± 1.3 | 37.2 ± 1.8 | 42.8 ± 2.3 | 27.4 ± 1.6 | 45.3 ± 2.5 | |
DTLZ2 | 5 | 14 | 9.8 ± 0.6 | 18.7 ± 0.9 | 21.3 ± 1.1 | 14.6 ± 0.7 | 24.5 ± 1.2 |
8 | 17 | 13.7 ± 0.8 | 22.9 ± 1.3 | 26.5 ± 1.5 | 17.8 ± 1.1 | 29.6 ± 1.6 | |
10 | 19 | 18.4 ± 1.1 | 28.4 ± 1.6 | 32.7 ± 1.9 | 22.3 ± 1.4 | 34.7 ± 1.9 | |
DTLZ3 | 5 | 14 | 14.2 ± 0.9 | 32.6 ± 1.8 | 37.5 ± 2.1 | 23.8 ± 1.4 | 41.9 ± 2.4 |
8 | 17 | 18.7 ± 1.2 | 39.8 ± 2.3 | 46.2 ± 2.7 | 28.4 ± 1.7 | 50.5 ± 2.9 | |
10 | 19 | 24.6 ± 1.6 | 48.6 ± 2.8 | 56.3 ± 3.2 | 36.2 ± 2.1 | 60.4 ± 3.5 | |
DTLZ4 | 5 | 14 | 8.3 ± 0.4 | 16.2 ± 0.8 | 18.4 ± 0.9 | 12.5 ± 0.5 | 21.7 ± 1.1 |
8 | 17 | 10.7 ± 0.6 | 19.4 ± 1.1 | 22.6 ± 1.3 | 14.8 ± 0.7 | 25.3 ± 1.4 | |
10 | 19 | 13.5 ± 0.8 | 23.7 ± 1.4 | 27.2 ± 1.6 | 18.4 ± 0.9 | 29.6 ± 1.7 | |
DTLZ5 | 5 | 14 | 11.9 ± 0.7 | 21.6 ± 1.2 | 25.4 ± 1.4 | 16.7 ± 0.9 | 28.5 ± 1.6 |
8 | 17 | 15.8 ± 0.9 | 27.3 ± 1.6 | 32.5 ± 1.8 | 20.9 ± 1.2 | 36.7 ± 2.0 | |
10 | 19 | 20.7 ± 1.3 | 33.6 ± 2.1 | 39.2 ± 2.5 | 26.7 ± 1.5 | 43.9 ± 2.6 | |
DTLZ6 | 5 | 14 | 10.4 ± 0.5 | 20.3 ± 1.1 | 24.6 ± 1.3 | 15.4 ± 0.7 | 27.8 ± 1.5 |
8 | 17 | 13.9 ± 0.8 | 25.7 ± 1.5 | 30.4 ± 1.7 | 19.2 ± 1.1 | 33.5 ± 1.8 | |
10 | 19 | 17.8 ± 1.1 | 31.8 ± 1.9 | 37.2 ± 2.2 | 24.6 ± 1.4 | 39.4 ± 2.3 | |
DTLZ7 | 5 | 14 | 9.6 ± 0.4 | 18.6 ± 0.9 | 22.3 ± 1.1 | 14.2 ± 0.6 | 25.7 ± 1.3 |
8 | 17 | 12.4 ± 0.7 | 22.7 ± 1.2 | 27.4 ± 1.4 | 17.6 ± 0.8 | 30.9 ± 1.6 | |
10 | 19 | 16.3 ± 0.9 | 28.1 ± 1.5 | 34.2 ± 1.8 | 22.4 ± 1.1 | 36.7 ± 2.0 |
