Table 15 The IEEE CEC2022 benchmark function’s results using the newest and most effective methods.
Func | MGO | HHO | HGS | INFO | EOBAVO | |
|---|---|---|---|---|---|---|
CEC01 | Mean | 3.00E+02 | 1.01E+03 | 3.75E+02 | 3.00E+02 | 0.00E+00 |
Std | 1.18E−04 | 3.85E+02 | 2.97E+02 | 5.58E−06 | 0.00E+00 | |
t-values | 2.67E+00 | −2.46E+00 | 1.92E+00 | 2.67E+00 | NA | |
CEC02 | Mean | 4.07E+02 | 4.67E+02 | 4.25E+02 | 4.09E+02 | 1.85E−256 |
Std | 1.25E+01 | 8.61E+01 | 3.16E+01 | 1.20E+01 | 0.00E+00 | |
t-values | 2.99E+00 | −2.39E+00 | 1.62E−01 | 2.80E+00 | NA | |
CEC03 | Mean | 6.00E+02 | 6.36E+02 | 6.01E+02 | 6.01E+02 | 0.00E+00 |
Std | 5.31E−01 | 1.11E+01 | 1.04E+00 | 2.64E+00 | 0.00E+00 | |
t-values | 1.10E+01 | −4.94E+00 | 1.07E+01 | 1.01E+01 | NA | |
CEC04 | Mean | 8.13E+02 | 8.28E+02 | 8.37E+02 | 8.21E+02 | 7.40E−263 |
Std | 4.84E+00 | 7.16E+00 | 1.44E+01 | 8.61E+00 | 0.00E+00 | |
t-values | 1.16E+01 | 6.42E−01 | −2.88E+00 | 4.24E+00 | NA | |
CEC05 | Mean | 9.04E+02 | 1.41E+03 | 1.17E+03 | 9.30E+02 | 3.75E−05 |
Std | 7.26E+00 | 1.74E+02 | 2.25E+02 | 4.00E+01 | 2.83E−05 | |
t-values | 1.67E+01 | −2.16E+00 | 3.29E+00 | 1.50E+01 | NA | |
CEC06 | Mean | 2.20E+03 | 8.19E+03 | 4.35E+03 | 2.49E+03 | 3.54E−07 |
Std | 4.16E+02 | 5.12E+03 | 2.35E+03 | 1.50E+03 | 3.27E−07 | |
t-values | 3.65E+00 | −5.15E+00 | −2.30E+00 | 1.87E+00 | NA | |
CEC07 | Mean | 2.02E+03 | 2.08E+03 | 2.02E+03 | 2.02E+03 | 1.15E−04 |
Std | 6.70E+00 | 3.08E+01 | 5.16E+00 | 7.62E+00 | 9.45E−05 | |
t-values | 5.01E+00 | −5.24E+00 | 5.82E+00 | 4.82E+00 | NA | |
CEC08 | Mean | 2.22E+03 | 2.23E+03 | 2.21E+03 | 2.22E+03 | −1.24E+04 |
Std | 4.78E+00 | 2.27E+01 | 3.50E+00 | 5.67E+00 | 3.44E+02 | |
t-values | 4.37E+00 | −2.23E+00 | 2.60E+00 | 4.50E+00 | NA | |
CEC09 | Mean | 2.53E+03 | 2.61E+03 | 2.54E+03 | 2.53E+03 | 0.00E+00 |
Std | 4.63E−13 | 3.73E+01 | 3.00E+01 | 2.11E−12 | 0.00E+00 | |
t-values | 2.52E+00 | −6.52E+00 | 1.16E+00 | 2.52E+00 | NA | |
CEC10 | Mean | 2.55E+03 | 2.58E+03 | 2.56E+03 | 2.57E+03 | 4.44E−16 |
Std | 5.80E+01 | 1.05E+02 | 7.51E+01 | 6.84E+01 | 3.01E−31 | |
t-values | 1.05E+00 | −6.34E−01 | 4.43E−01 | 8.25E−02 | NA | |
CEC11 | Mean | 2.75E+03 | 2.76E+03 | 2.76E+03 | 2.75E+03 | 0.00E+00 |
Std | 1.30E+02 | 1.40E+02 | 1.45E+02 | 1.43E+02 | 0.00E+00 | |
t-values | −1.35E+00 | −1.82E+00 | −1.76E+00 | −9.60E−01 | NA | |
CEC12 | Mean | 2.86E+03 | 2.92E+03 | 2.87E+03 | 2.86E+03 | 1.94E−08 |
Std | 2.28E+00 | 5.52E+01 | 4.19E+00 | 2.02E+00 | 1.36E−08 | |
t-values | 1/1/10 | 11/0/1 | 3/2/7 | 1/0/11 | NA | |
