The ranking results of BMSSA and SOTA algorithms on CEC 2014. “AVR” indicates the average ranking concerning mean values and “+/−/=” indicates the number of functions for which BMSSA are significantly better, worse, and similar to the competitor. The values in bold indicate the best results for the corresponding comparison groups.
| Method . | Dim = 30 . | Dim = 50 . | Dim = 100 . | ||||||
|---|---|---|---|---|---|---|---|---|---|
| . | +/−/= . | AVR . | Rank . | +/−/= . | AVR . | Rank . | +/−/= . | AVR . | Rank . |
| BMSSA | ∼ | 2.1333 | 1 | ∼ | 1.7667 | 1 | ∼ | 1.7333 | 1 |
| ALCPSO | 22/1/7 | 5.4667 | 6 | 27/0/3 | 5.3667 | 6 | 26/1/3 | 5.6000 | 6 |
| EPSDE | 15/13/2 | 2.6667 | 2 | 18/7/5 | 3.1667 | 2 | 18/5/7 | 3.7333 | 3 |
| CGPSO | 27/0/3 | 5.8000 | 7 | 29/1/0 | 5.6333 | 7 | 30/0/0 | 5.7333 | 7 |
| ACWOA | 29/0/1 | 7.1333 | 8 | 27/0/3 | 7.0667 | 8 | 26/0/4 | 6.7000 | 8 |
| EOBLSSA | 24/0/6 | 4.8000 | 5 | 23/1/6 | 4.4667 | 4 | 22/3/5 | 3.7667 | 4 |
| DECLS | 24/4/2 | 4.4333 | 4 | 27/3/0 | 4.7667 | 5 | 27/0/3 | 5.0667 | 5 |
| GOTLBO | 16/7/7 | 3.4333 | 3 | 19/5/6 | 3.6333 | 3 | 19/5/6 | 3.3667 | 2 |
| Method . | Dim = 30 . | Dim = 50 . | Dim = 100 . | ||||||
|---|---|---|---|---|---|---|---|---|---|
| . | +/−/= . | AVR . | Rank . | +/−/= . | AVR . | Rank . | +/−/= . | AVR . | Rank . |
| BMSSA | ∼ | 2.1333 | 1 | ∼ | 1.7667 | 1 | ∼ | 1.7333 | 1 |
| ALCPSO | 22/1/7 | 5.4667 | 6 | 27/0/3 | 5.3667 | 6 | 26/1/3 | 5.6000 | 6 |
| EPSDE | 15/13/2 | 2.6667 | 2 | 18/7/5 | 3.1667 | 2 | 18/5/7 | 3.7333 | 3 |
| CGPSO | 27/0/3 | 5.8000 | 7 | 29/1/0 | 5.6333 | 7 | 30/0/0 | 5.7333 | 7 |
| ACWOA | 29/0/1 | 7.1333 | 8 | 27/0/3 | 7.0667 | 8 | 26/0/4 | 6.7000 | 8 |
| EOBLSSA | 24/0/6 | 4.8000 | 5 | 23/1/6 | 4.4667 | 4 | 22/3/5 | 3.7667 | 4 |
| DECLS | 24/4/2 | 4.4333 | 4 | 27/3/0 | 4.7667 | 5 | 27/0/3 | 5.0667 | 5 |
| GOTLBO | 16/7/7 | 3.4333 | 3 | 19/5/6 | 3.6333 | 3 | 19/5/6 | 3.3667 | 2 |
The ranking results of BMSSA and SOTA algorithms on CEC 2014. “AVR” indicates the average ranking concerning mean values and “+/−/=” indicates the number of functions for which BMSSA are significantly better, worse, and similar to the competitor. The values in bold indicate the best results for the corresponding comparison groups.
| Method . | Dim = 30 . | Dim = 50 . | Dim = 100 . | ||||||
|---|---|---|---|---|---|---|---|---|---|
| . | +/−/= . | AVR . | Rank . | +/−/= . | AVR . | Rank . | +/−/= . | AVR . | Rank . |
| BMSSA | ∼ | 2.1333 | 1 | ∼ | 1.7667 | 1 | ∼ | 1.7333 | 1 |
| ALCPSO | 22/1/7 | 5.4667 | 6 | 27/0/3 | 5.3667 | 6 | 26/1/3 | 5.6000 | 6 |
| EPSDE | 15/13/2 | 2.6667 | 2 | 18/7/5 | 3.1667 | 2 | 18/5/7 | 3.7333 | 3 |
| CGPSO | 27/0/3 | 5.8000 | 7 | 29/1/0 | 5.6333 | 7 | 30/0/0 | 5.7333 | 7 |
| ACWOA | 29/0/1 | 7.1333 | 8 | 27/0/3 | 7.0667 | 8 | 26/0/4 | 6.7000 | 8 |
| EOBLSSA | 24/0/6 | 4.8000 | 5 | 23/1/6 | 4.4667 | 4 | 22/3/5 | 3.7667 | 4 |
| DECLS | 24/4/2 | 4.4333 | 4 | 27/3/0 | 4.7667 | 5 | 27/0/3 | 5.0667 | 5 |
| GOTLBO | 16/7/7 | 3.4333 | 3 | 19/5/6 | 3.6333 | 3 | 19/5/6 | 3.3667 | 2 |
| Method . | Dim = 30 . | Dim = 50 . | Dim = 100 . | ||||||
|---|---|---|---|---|---|---|---|---|---|
| . | +/−/= . | AVR . | Rank . | +/−/= . | AVR . | Rank . | +/−/= . | AVR . | Rank . |
| BMSSA | ∼ | 2.1333 | 1 | ∼ | 1.7667 | 1 | ∼ | 1.7333 | 1 |
| ALCPSO | 22/1/7 | 5.4667 | 6 | 27/0/3 | 5.3667 | 6 | 26/1/3 | 5.6000 | 6 |
| EPSDE | 15/13/2 | 2.6667 | 2 | 18/7/5 | 3.1667 | 2 | 18/5/7 | 3.7333 | 3 |
| CGPSO | 27/0/3 | 5.8000 | 7 | 29/1/0 | 5.6333 | 7 | 30/0/0 | 5.7333 | 7 |
| ACWOA | 29/0/1 | 7.1333 | 8 | 27/0/3 | 7.0667 | 8 | 26/0/4 | 6.7000 | 8 |
| EOBLSSA | 24/0/6 | 4.8000 | 5 | 23/1/6 | 4.4667 | 4 | 22/3/5 | 3.7667 | 4 |
| DECLS | 24/4/2 | 4.4333 | 4 | 27/3/0 | 4.7667 | 5 | 27/0/3 | 5.0667 | 5 |
| GOTLBO | 16/7/7 | 3.4333 | 3 | 19/5/6 | 3.6333 | 3 | 19/5/6 | 3.3667 | 2 |
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