Table 7.
Comparison results of four HHO variants on 18 classical benchmark functions with 30D
| Function | LHHO | HHO-JOS | mHHO | VGHHO | ||||
|---|---|---|---|---|---|---|---|---|
| Mean | Std | Mean | Std | Mean | Std | Mean | Std | |
| f1 | 3.23E-149 | 5.60E-149 | 2.64E-261 | 0 | 0 | 0 | 0 | 0 |
| f2 | 1.37E-78 | 1.49E-78 | 7.26E-137 | 1.62E-136 | 0 | 0 | 0 | 0 |
| f3 | 5.26E-73 | 9.11E-73 | 6.57E-122 | 1.46E-121 | 0 | 0 | 0 | 0 |
| f4 | 7.23E-03 | 1.10E-02 | 4.82E-03 | 5.55E-03 | 7.68E-02 | 1.60E-01 | 4.40E-03 | 4.43E-03 |
| f5 | 1.28E-04 | 1.74E-04 | 1.21E-04 | 1.27E-04 | 7.47E-05 | 7.17E-05 | 5.17E-06 | 1.15E-05 |
| f6 | 3.64E-151 | 6.31E-151 | 6.58E-261 | 0 | 0 | 0 | 0 | 0 |
| f7 | 1.01E-201 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| f8 | 1.30E-140 | 2.25E-140 | 2.22E-247 | 0 | 0 | 0 | 0 | 0 |
| f9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| f10 | 8.88E-16 | 0 | 8.88E-16 | 0 | 8.88E-16 | 0 | 8.88E-16 | 0 |
| f11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| f12 | 3.24E-79 | 4.75E-79 | 8.99E-138 | 1.90E-137 | 0 | 0 | 0 | 0 |
| f13 | 4.15E-156 | 5.12E-156 | 8.80E-244 | 0 | 0 | 0 | 0 | 0 |
| f14 | 1.47E-72 | 2.53E-72 | 3.92E-130 | 8.76E-130 | 0 | 0 | 0 | 0 |
| f15 | 1.06E-151 | 1.80E-151 | 7.36E-265 | 0 | 0 | 0 | 0 | 0 |
| f16 | 1.26E-154 | 2.18E-154 | 6.66E-237 | 0 | 0 | 0 | 0 | 0 |
| f17 | 1.27E-39 | 1.15E-39 | 8.88E-74 | 1.97E-73 | 0 | 0 | 0 | 0 |
| f18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| Average ranking | 3.28 | 2.39 | 1.22 | 1.00 | ||||
| Total ranking | 4 | 3 | 2 | 1 | ||||
The best value of each function is highlighted in bold in the table