The ranking results of BMSSA and SSA variants 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 | ∼ | 1.8333 | 1 | ∼ | 1.9333 | 1 | ∼ | 1.9333 | 1 |
| ISSA | 28/0/2 | 5.6667 | 6 | 26/3/1 | 4.9667 | 6 | 26/3/1 | 4.9667 | 6 |
| ESSA | 30/0/0 | 7.0333 | 8 | 30/0/0 | 6.2667 | 7 | 30/0/0 | 6.2667 | 7 |
| DMSSA | 13/11/3 | 3.0333 | 2 | 19/5/6 | 4.1333 | 4 | 19/5/6 | 4.1333 | 4 |
| QBSSA | 17/8/5 | 3.3667 | 4 | 17/8/5 | 3.1000 | 3 | 17/8/5 | 3.1000 | 3 |
| WLSSA | 15/1/14 | 3.3333 | 3 | 9/3/18 | 2.7000 | 2 | 9/3/18 | 2.7000 | 2 |
| CSSA | 27/0/3 | 5.7000 | 7 | 30/0/0 | 7.6667 | 8 | 30/0/0 | 7.6667 | 8 |
| CMSSA | 22/0/8 | 5.3333 | 5 | 22/0/8 | 4.5333 | 5 | 22/0/8 | 4.5333 | 5 |
| Method . | Dim = 30 . | Dim = 50 . | Dim = 100 . | ||||||
|---|---|---|---|---|---|---|---|---|---|
| . | +/−/= . | AVR . | Rank . | +/−/= . | AVR . | Rank . | +/−/= . | AVR . | Rank . |
| BMSSA | ∼ | 1.8333 | 1 | ∼ | 1.9333 | 1 | ∼ | 1.9333 | 1 |
| ISSA | 28/0/2 | 5.6667 | 6 | 26/3/1 | 4.9667 | 6 | 26/3/1 | 4.9667 | 6 |
| ESSA | 30/0/0 | 7.0333 | 8 | 30/0/0 | 6.2667 | 7 | 30/0/0 | 6.2667 | 7 |
| DMSSA | 13/11/3 | 3.0333 | 2 | 19/5/6 | 4.1333 | 4 | 19/5/6 | 4.1333 | 4 |
| QBSSA | 17/8/5 | 3.3667 | 4 | 17/8/5 | 3.1000 | 3 | 17/8/5 | 3.1000 | 3 |
| WLSSA | 15/1/14 | 3.3333 | 3 | 9/3/18 | 2.7000 | 2 | 9/3/18 | 2.7000 | 2 |
| CSSA | 27/0/3 | 5.7000 | 7 | 30/0/0 | 7.6667 | 8 | 30/0/0 | 7.6667 | 8 |
| CMSSA | 22/0/8 | 5.3333 | 5 | 22/0/8 | 4.5333 | 5 | 22/0/8 | 4.5333 | 5 |
The ranking results of BMSSA and SSA variants 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 | ∼ | 1.8333 | 1 | ∼ | 1.9333 | 1 | ∼ | 1.9333 | 1 |
| ISSA | 28/0/2 | 5.6667 | 6 | 26/3/1 | 4.9667 | 6 | 26/3/1 | 4.9667 | 6 |
| ESSA | 30/0/0 | 7.0333 | 8 | 30/0/0 | 6.2667 | 7 | 30/0/0 | 6.2667 | 7 |
| DMSSA | 13/11/3 | 3.0333 | 2 | 19/5/6 | 4.1333 | 4 | 19/5/6 | 4.1333 | 4 |
| QBSSA | 17/8/5 | 3.3667 | 4 | 17/8/5 | 3.1000 | 3 | 17/8/5 | 3.1000 | 3 |
| WLSSA | 15/1/14 | 3.3333 | 3 | 9/3/18 | 2.7000 | 2 | 9/3/18 | 2.7000 | 2 |
| CSSA | 27/0/3 | 5.7000 | 7 | 30/0/0 | 7.6667 | 8 | 30/0/0 | 7.6667 | 8 |
| CMSSA | 22/0/8 | 5.3333 | 5 | 22/0/8 | 4.5333 | 5 | 22/0/8 | 4.5333 | 5 |
| Method . | Dim = 30 . | Dim = 50 . | Dim = 100 . | ||||||
|---|---|---|---|---|---|---|---|---|---|
| . | +/−/= . | AVR . | Rank . | +/−/= . | AVR . | Rank . | +/−/= . | AVR . | Rank . |
| BMSSA | ∼ | 1.8333 | 1 | ∼ | 1.9333 | 1 | ∼ | 1.9333 | 1 |
| ISSA | 28/0/2 | 5.6667 | 6 | 26/3/1 | 4.9667 | 6 | 26/3/1 | 4.9667 | 6 |
| ESSA | 30/0/0 | 7.0333 | 8 | 30/0/0 | 6.2667 | 7 | 30/0/0 | 6.2667 | 7 |
| DMSSA | 13/11/3 | 3.0333 | 2 | 19/5/6 | 4.1333 | 4 | 19/5/6 | 4.1333 | 4 |
| QBSSA | 17/8/5 | 3.3667 | 4 | 17/8/5 | 3.1000 | 3 | 17/8/5 | 3.1000 | 3 |
| WLSSA | 15/1/14 | 3.3333 | 3 | 9/3/18 | 2.7000 | 2 | 9/3/18 | 2.7000 | 2 |
| CSSA | 27/0/3 | 5.7000 | 7 | 30/0/0 | 7.6667 | 8 | 30/0/0 | 7.6667 | 8 |
| CMSSA | 22/0/8 | 5.3333 | 5 | 22/0/8 | 4.5333 | 5 | 22/0/8 | 4.5333 | 5 |
This PDF is available to Subscribers Only
View Article Abstract & Purchase OptionsFor full access to this pdf, sign in to an existing account, or purchase an annual subscription.
