Table 3. Experimental results on CEC’17 test functions.
| Table 3-A | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| Algorithm | AVG | STD | MIN | MR | Algorithm | AVG | STD | MIN | MR |
| f1 | f3 | ||||||||
| TSO | 4.95E+10 | 8.21E+09 | 2.48E+10 | 7.20 | TSO | 9.11E+04 | 3.47E+03 | 8.10E+04 | 5.47 |
| CTSO-1 | 4.92E+10 | 8.39E+09 | 3.13E+10 | 7.13 | CTSO-1 | 9.14E+04 | 3.08E+03 | 8.21E+04 | 5.13 |
| CTSO-2 | 4.99E+10 | 8.71E+09 | 3.24E+10 | 7.33 | CTSO-2 | 9.09E+04 | 3.33E+03 | 8.32E+04 | 5.10 |
| CTSO-3 | 1.57E+08 | 1.45E+08 | 1.86E+07 | 1.53 | CTSO-3 | 1.55E+05 | 6.93E+04 | 6.08E+04 | 9.30 |
| CTSO-4 | 4.79E+10 | 6.77E+09 | 3.44E+10 | 6.33 | CTSO-4 | 9.13E+04 | 5.09E+03 | 7.18E+04 | 6.27 |
| CTSO-5 | 4.97E+10 | 7.32E+09 | 3.54E+10 | 6.87 | CTSO-5 | 9.02E+04 | 5.42E+03 | 6.97E+04 | 4.77 |
| CTSO-6 | 4.96E+10 | 7.20E+09 | 3.52E+10 | 6.90 | CTSO-6 | 9.19E+04 | 2.38E+03 | 8.70E+04 | 5.53 |
| CTSO-7 | 4.98E+10 | 9.49E+09 | 2.63E+10 | 7.20 | CTSO-7 | 9.06E+04 | 4.41E+03 | 7.63E+04 | 5.03 |
| CTSO-8 | 5.01E+10 | 9.07E+09 | 3.54E+10 | 6.80 | CTSO-8 | 9.04E+04 | 6.25E+03 | 6.91E+04 | 5.53 |
| CTSO-9 | 1.83E+08 | 2.95E+08 | 3.75E+07 | 1.47 | CTSO-9 | 1.36E+05 | 4.90E+04 | 6.55E+04 | 8.90 |
| CTSO-10 | 4.95E+10 | 8.31E+09 | 3.34E+10 | 7.23 | CTSO-10 | 9.13E+04 | 3.25E+03 | 8.17E+04 | 4.97 |
| f4 | f5 | ||||||||
| TSO | 1.23E+04 | 3.21E+03 | 4.76E+03 | 7.17 | TSO | 9.12E+02 | 3.32E+01 | 8.37E+02 | 6.57 |
| CTSO-1 | 1.19E+04 | 2.29E+03 | 7.99E+03 | 6.67 | CTSO-1 | 9.19E+02 | 3.13E+01 | 8.51E+02 | 7.77 |
| CTSO-2 | 1.20E+04 | 2.21E+03 | 7.98E+03 | 6.83 | CTSO-2 | 9.06E+02 | 4.49E+01 | 8.16E+02 | 6.30 |
| CTSO-3 | 6.16E+02 | 6.91E+01 | 5.26E+02 | 1.50 | CTSO-3 | 7.94E+02 | 4.53E+01 | 7.10E+02 | 1.77 |
| CTSO-4 | 1.25E+04 | 2.95E+03 | 8.86E+03 | 7.30 | CTSO-4 | 9.16E+02 | 3.51E+01 | 8.30E+02 | 7.23 |
| CTSO-5 | 1.13E+04 | 3.14E+03 | 5.83E+03 | 6.20 | CTSO-5 | 9.09E+02 | 3.83E+01 | 7.97E+02 | 6.77 |
| CTSO-6 | 1.23E+04 | 2.99E+03 | 7.30E+03 | 7.47 | CTSO-6 | 9.17E+02 | 3.78E+01 | 8.13E+02 | 7.63 |
| CTSO-7 | 1.24E+04 | 3.15E+03 | 7.15E+03 | 7.13 | CTSO-7 | 9.07E+02 | 3.14E+01 | 8.41E+02 | 6.23 |
| CTSO-8 | 1.31E+04 | 2.72E+03 | 8.01E+03 | 7.83 | CTSO-8 | 9.20E+02 | 2.67E+01 | 8.76E+02 | 7.43 |
| CTSO-9 | 6.07E+02 | 4.59E+01 | 4.94E+02 | 1.50 | CTSO-9 | 7.83E+02 | 5.52E+01 | 6.87E+02 | 1.73 |
| CTSO-10 | 1.17E+04 | 3.39E+03 | 6.65E+03 | 6.40 | CTSO-10 | 9.10E+02 | 2.71E+01 | 8.34E+02 | 6.57 |
| f6 | f7 | ||||||||
| TSO | 6.85E+02 | 8.78E+00 | 6.59E+02 | 7.23 | TSO | 1.44E+03 | 5.86E+01 | 1.31E+03 | 6.73 |
| CTSO-1 | 6.83E+02 | 8.22E+00 | 6.64E+02 | 6.17 | CTSO-1 | 1.43E+03 | 5.71E+01 | 1.31E+03 | 5.97 |
| CTSO-2 | 6.82E+02 | 7.18E+00 | 6.67E+02 | 5.97 | CTSO-2 | 1.43E+03 | 6.92E+01 | 1.24E+03 | 6.03 |
| CTSO-3 | 6.67E+02 | 1.08E+01 | 6.47E+02 | 2.17 | CTSO-3 | 1.46E+03 | 1.27E+02 | 1.25E+03 | 6.70 |
| CTSO-4 | 6.83E+02 | 7.81E+00 | 6.66E+02 | 6.07 | CTSO-4 | 1.43E+03 | 5.07E+01 | 1.26E+03 | 5.87 |
| CTSO-5 | 6.86E+02 | 8.16E+00 | 6.64E+02 | 7.17 | CTSO-5 | 1.41E+03 | 7.34E+01 | 1.25E+03 | 4.70 |
| CTSO-6 | 6.84E+02 | 1.02E+01 | 6.64E+02 | 6.37 | CTSO-6 | 1.43E+03 | 5.70E+01 | 1.30E+03 | 6.23 |
| CTSO-7 | 6.87E+02 | 8.70E+00 | 6.61E+02 | 7.73 | CTSO-7 | 1.42E+03 | 6.65E+01 | 1.22E+03 | 5.30 |
| CTSO-8 | 6.86E+02 | 6.16E+00 | 6.75E+02 | 7.20 | CTSO-8 | 1.43E+03 | 5.03E+01 | 1.31E+03 | 5.80 |
| CTSO-9 | 6.70E+02 | 1.04E+01 | 6.52E+02 | 2.73 | CTSO-9 | 1.44E+03 | 1.36E+02 | 1.18E+03 | 6.10 |
| CTSO-10 | 6.86E+02 | 7.40E+00 | 6.69E+02 | 7.20 | CTSO-10 | 1.45E+03 | 5.05E+01 | 1.30E+03 | 6.57 |
| f8 | f9 | ||||||||
| TSO | 1.12E+03 | 2.52E+01 | 1.08E+03 | 6.63 | TSO | 1.05E+04 | 1.34E+03 | 8.17E+03 | 7.13 |
| CTSO-1 | 1.12E+03 | 3.33E+01 | 1.04E+03 | 6.50 | CTSO-1 | 1.03E+04 | 1.32E+03 | 7.94E+03 | 6.70 |
| CTSO-2 | 1.13E+03 | 2.10E+01 | 1.09E+03 | 7.93 | CTSO-2 | 1.04E+04 | 1.07E+03 | 8.43E+03 | 6.87 |
| CTSO-3 | 1.01E+03 | 4.72E+01 | 9.17E+02 | 1.73 | CTSO-3 | 7.25E+03 | 1.57E+03 | 4.58E+03 | 2.00 |
| CTSO-4 | 1.12E+03 | 2.95E+01 | 1.07E+03 | 6.43 | CTSO-4 | 1.01E+04 | 1.31E+03 | 6.02E+03 | 6.30 |
| CTSO-5 | 1.11E+03 | 3.19E+01 | 1.02E+03 | 5.63 | CTSO-5 | 1.03E+04 | 1.23E+03 | 7.82E+03 | 7.07 |
| CTSO-6 | 1.13E+03 | 2.50E+01 | 1.07E+03 | 7.37 | CTSO-6 | 1.03E+04 | 1.19E+03 | 7.59E+03 | 7.10 |
| CTSO-7 | 1.13E+03 | 2.54E+01 | 1.05E+03 | 6.97 | CTSO-7 | 1.05E+04 | 1.44E+03 | 7.58E+03 | 6.70 |
| CTSO-8 | 1.13E+03 | 2.69E+01 | 1.08E+03 | 7.73 | CTSO-8 | 1.08E+04 | 1.46E+03 | 7.90E+03 | 7.73 |
| CTSO-9 | 1.01E+03 | 4.35E+01 | 9.09E+02 | 1.50 | CTSO-9 | 7.43E+03 | 1.65E+03 | 4.89E+03 | 2.40 |
| CTSO-10 | 1.13E+03 | 1.82E+01 | 1.10E+03 | 7.57 | CTSO-10 | 9.85E+03 | 1.47E+03 | 7.05E+03 | 6.00 |
| f10 | f11 | ||||||||
| TSO | 8.69E+03 | 5.78E+02 | 7.64E+03 | 5.73 | TSO | 9.85E+03 | 3.09E+03 | 4.06E+03 | 6.40 |
| CTSO-1 | 8.95E+03 | 6.98E+02 | 7.58E+03 | 6.83 | CTSO-1 | 1.05E+04 | 2.80E+03 | 5.00E+03 | 7.07 |
| CTSO-2 | 8.83E+03 | 8.47E+02 | 7.30E+03 | 6.77 | CTSO-2 | 9.79E+03 | 2.15E+03 | 6.53E+03 | 6.77 |
| CTSO-3 | 6.73E+03 | 1.33E+03 | 4.70E+03 | 2.37 | CTSO-3 | 1.68E+03 | 3.27E+02 | 1.24E+03 | 1.40 |
| CTSO-4 | 8.86E+03 | 5.27E+02 | 8.05E+03 | 6.43 | CTSO-4 | 1.04E+04 | 2.00E+03 | 6.26E+03 | 7.10 |
| CTSO-5 | 9.01E+03 | 6.78E+02 | 7.64E+03 | 7.40 | CTSO-5 | 1.01E+04 | 2.33E+03 | 3.00E+03 | 7.20 |
| CTSO-6 | 8.99E+03 | 7.03E+02 | 7.82E+03 | 7.33 | CTSO-6 | 9.57E+03 | 2.20E+03 | 4.63E+03 | 6.60 |
| CTSO-7 | 8.49E+03 | 5.62E+02 | 7.30E+03 | 5.40 | CTSO-7 | 1.01E+04 | 2.73E+03 | 4.57E+03 | 6.90 |
| CTSO-8 | 8.93E+03 | 7.24E+02 | 7.33E+03 | 7.27 | CTSO-8 | 1.04E+04 | 2.16E+03 | 5.38E+03 | 7.50 |
| CTSO-9 | 7.66E+03 | 1.41E+03 | 4.85E+03 | 4.03 | CTSO-9 | 2.52E+03 | 2.84E+03 | 1.33E+03 | 1.90 |
| CTSO-10 | 8.81E+03 | 6.64E+02 | 7.56E+03 | 6.43 | CTSO-10 | 1.01E+04 | 1.77E+03 | 7.43E+03 | 7.17 |
Note:
The use of bold demonstrates the best results attained.