Research Article
A Two-Archive Algorithm with Interactive Mechanism for Many-Objective Optimization
Table 2
Performance comparison on DTLZ1-4 problems with respect to the average HV values.
| Problem | Obj. | iTwoArch | TwoArchA+ | TwoArch2 | MOEAD | MOEADAM2M | NSGAIII |
| DTLZ1 | 3 | 0.973505 | 0.973558 | 0.975170 | 0.973651 | 0.970025 | 0.972512 | 5 | 0.998961 | 0.988324 | 0.997340 | 0.996220 | 0.998330 | 0.998628 | 8 | 0.999931 | 0.999914 | 0.999242 | 0.999560 | 0.999926 | 0.999604 | 10 | 0.999999 | 0.999775 | 0.998868 | 0.999957 | 0.999988 | 0.999731 | 15 | 0.999997 | 0.999991 | 0.974723 | 0.999227 | 0.988791 | 0.999710 |
| DTLZ2 | 3 | 0.926717 | 0.926697 | 0.929175 | 0.926730 | 0.926001 | 0.926643 | 5 | 0.990526 | 0.990386 | 0.983421 | 0.986239 | 0.990349 | 0.990434 | 8 | 0.999321 | 0.999302 | 0.993856 | 0.998597 | 0.999246 | 0.999259 | 10 | 0.999918 | 0.999901 | 0.992931 | 0.999772 | 0.999875 | 0.999876 | 15 | 0.999996 | 0.999998 | 0.981044 | 0.999624 | 0.999506 | 0.999996 |
| DTLZ3 | 3 | 0.978073 | 0.997819 | 0.972712 | 0.978151 | 0.976368 | 0.977728 | 5 | 0.998658 | 0.960642 | 0.992559 | 0.997989 | 0.998381 | 0.990501 | 8 | 0.999954 | 0.996681 | 0.817973 | 0.999784 | 0.999956 | 0.993984 | 10 | 0.999668 | 0.969624 | 0.000000 | 0.999886 | 0.999994 | 0.946079 | 15 | 0.999965 | 0.999999 | 0.691400 | 0.999417 | 0.997129 | 0.999696 |
| DTLZ4 | 3 | 0.926715 | 0.909868 | 0.929180 | 0.918331 | 0.926035 | 0.926660 | 5 | 0.990541 | 0.990522 | 0.985053 | 0.985951 | 0.990448 | 0.990503 | 8 | 0.999370 | 0.999297 | 0.994405 | 0.999350 | 0.999420 | 0.999355 | 10 | 0.999925 | 0.999913 | 0.993294 | 0.999916 | 0.999932 | 0.999919 | 15 | 0.999999 | 0.999995 | 0.983069 | 0.999992 | 0.999997 | 0.999999 |
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Note. ā ā means that the result is significantly outperformed by iTwoArch. |