Table 12 Wilcoxon rank sum test results of other algorithms CEC2019 test set based on HBWO
F | Algorithm | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
PSO | SSA | WOA | HHO | DO | SCSO | AO | AOA | BWO | LHHO | LSMA | |
F1 | 8.00650E-09 | 0.000066506 | 8.00650E-09 | NaN | NaN | 0.0095844 | 0.080631 | 1.10490E-06 | NaN | NaN | NaN |
F2 | 6.79560E-08 | 0.0961960 | 6.79560E-08 | 2.16020E-06 | 2.99200E-08 | 0.568470 | 5.88750E-07 | 6.79560E-08 | 0.0028787 | 1.42240E-07 | 9.31530E-06 |
F3 | 3.41560E-07 | 6.79560E-08 | 0.0025606 | 0.000011045 | 1.57570E-06 | 0.180580 | 1.65710E-07 | 6.79560E-08 | 3.41560E-07 | 0.0010141 | 0.1555700 |
F4 | 4.54010E-06 | 1.43090E-07 | 6.79560E-08 | 6.79560E-08 | 6.79560E-08 | 9.17280E-08 | 1.43090E-07 | 6.79560E-08 | 6.79560E-08 | 3.93880E-07 | 0.000046804 |
F5 | 6.79560E-08 | 6.79560E-08 | 6.79560E-08 | 6.79560E-08 | 6.79560E-08 | 6.79560E-08 | 6.79560E-08 | 6.79560E-08 | 6.79560E-08 | 6.79560E-08 | 6.79560E-08 |
F6 | 6.67370E-06 | 6.79560E-08 | 6.79560E-08 | 6.79560E-08 | 6.79560E-08 | 7.89800E-08 | 6.79560E-08 | 6.79560E-08 | 6.79560E-08 | 6.79560E-08 | 3.06910E-06 |
F7 | 3.06910E-06 | 4.53900E-07 | 2.95980E-07 | 3.98740E-06 | 9.17280E-08 | 0.000032931 | 0.0017824 | 3.49950E-06 | 6.79560E-08 | 9.12660E-07 | 0.0017824 |
F8 | 1.2009E-06 | 6.79560E-08 | 1.91770E-07 | 6.79560E-08 | 6.79560E-08 | 0.00024706 | 9.17280E-08 | 1.65710E-07 | 6.79560E-08 | 2.21780E-07 | 0.023903 |
F9 | 0.0764310 | 6.79560E-08 | 1.43090E-07 | 7.89800E-08 | 6.79560E-08 | 0.00022220 | 1.37610E-06 | 6.79560E-08 | 6.79560E-08 | 6.01480E-07 | 0.8181500 |
F10 | 0.00068682 | 7.57740E-06 | 0.1075100 | 0.000011045 | 5.87360E-06 | 0.00092091 | 0.081032 | 2.35570E-06 | 2.06160E-06 | 0.0021393 | 8.5974E-06 |
 + / = / −  | 0/1/9 | 0/1/9 | 0/1/9 | 0/1/9 | 0/1/9 | 0/2/8 | 0/2/8 | 0/0/10 | 0/1/9 | 0/1/9 | 0/3/7 |