Table 3 Convergence performance comparison for CEC 2005 benchmark function.
From: A novel Human Conception Optimizer for solving optimization problems
Function | SFO29 | PSO6 | CTO4 | GWO5 | WHO28 | HCO | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
Ave | Std | Ave | Std | Ave | Std | Ave | Std | Ave | Std | Ave | Std | |
\({F_1}\) | 6.59E−28 | 6.34E−05 | 0.000136 | 0.000202 | 3.50E−19 | 6.59E−19 | 6.59E−28 | 6.34E−05 | 8.2E−14 | 5.9E−14 | 0 | 0 |
\({F_2}\) | 7.18E−17 | 0.029014 | 0.042144 | 0.045421 | 5.44E−10 | 5.96E−10 | 7.18E−17 | 0.02901 | 1.5E−09 | 9.9E−10 | 4.23E−48 | 3.65E−63 |
\({F_3}\) | 4.95196E−06 | 0.000110343 | 2.26299E−05 | 0.000356831 | 7.1739E−05 | 0.000295386 | 2.43054E−06 | 5.22709E−05 | 6.8E−11 | 7.4E−11 | 0.000194706 | 0.002313515 |
\({F_4}\) | 5.61E−07 | 1.315088 | 1.086481 | 0.317039 | 4.52507 | 1.09056 | 5.61E−07 | 1.31508 | 0 | 0 | 0.000321656 | 0.002229746 |
\({F_5}\) | 26.81258 | 69.90499 | 96.71832 | 60.11559 | 1.30E−19 | 2.11E−19 | 26.8126 | 69.9049 | 0 | 0 | 0.772516484 | 0.017427571 |
\({F_6}\) | 0.09742269 | 0.128767789 | 0.001110401 | 0.024122691 | 0.005434 | 0.038755873 | 0.001254672 | 0.012670857 | 0 | 0 | 0.001050433 | 0.021926755 |
\({F_7}\) | 0.002213 | 0.100286 | 0.122854 | 0.044957 | 0.005434 | 0.002232 | 0.00221 | 0.10028 | 0.00463 | 0.0012 | 0.000464401 | 0.002356391 |
\({F_8}\) | − 6123.1 | − 4087.44 | − 4841.29 | 1152.841 | − 2791.7 | 330.711 | − 6123.1 | -4087.44 | − 11080.1 | 574.7 | − 418.983 | 31.20867554 |
\({F_9}\) | 0.00110267 | 0.002217182 | 8.73976E−07 | 9.6584E−06 | 0.013548005 | 0.042302315 | 0.00186388 | 0.036574417 | 69.2 | 38.8 | 0.000146449 | 0.002534135 |
\({F_{10}}\) | 1.06E−13 | 0.077835 | 0.276015 | 0.50901 | 1.5035 | 0.651061 | 1.06E−13 | 0.077835 | 9.7E−08 | 4.2E−08 | 1.69024706 | 0.036404351 |
\({F_{11}}\) | 0.004485 | 0.006659 | 0.009215 | 0.007724 | 0.211515 | 0.018247 | 0.00448 | 0.006659 | 0 | 0 | 0.001641388 | 0.014162738 |
\({F_{12}}\) | 0.053438 | 0.020734 | 0.006917 | 0.026301 | 6.08416 | 4.80515 | 0.05344 | 0.020734 | 7.9E−15 | 8E−15 | − 0.916816662 | 1.05578E−05 |
\({F_{13}}\) | 0.100043904 | 0.000981365 | 0.100011116 | 0.000238848 | 0.10226571 | 0.006217516 | 0.65446 | 0.004474 | 5.1E−14 | 4.8E−14 | 0.10001064 | 8.77149E-05 |
\({F_{14}}\) | 0.665779 | 8.22388E−15 | 2.663115884 | 31.54900921 | 0.665779 | 8.22388E−15 | 4.0425 | 4.25289 | 0.998004 | 3.3E−16 | 0.665779 | 8.22388E−15 |
\({F_{15}}\) | 0.000337 | 0.000625 | 0.000577 | 0.000222 | 0.000434 | 0.000238 | 0.00034 | 0.000625 | 4.5E−14 | 0.00033 | 0.051513612 | 8.4432E−06 |
\({F_{16}}\) | − 1.03163 | − 1.03163 | − 1.03163 | 6.25E−16 | − 1.03136 | 0 | − 1.03163 | − 1.03163 | − 1.03163 | 3.1E−13 | − 1.030402677 | 0.014350901 |
\({F_{17}}\) | 0.545282286 | 0.127323904 | 0.398208716 | 0.006995143 | 0.462937336 | 0.011283894 | 0.3978 | 0.3978 | 3.397887 | 9.9E−09 | 0.398564315 | 0.005786036 |
\({F_{18}}\) | 3.000028 | 3 | 3 | 1.33E−15 | 3 | 0 | 3.000028 | 3 | 3 | 2E−15 | 3.0199801 | 0.184129826 |
\({F_{19}}\) | − 3.86263 | − 3.38278 | − 3.86278 | 2.58E−15 | − 3.8794 | 2.56E−16 | − 3.8626 | − 3.38278 | − 3.86288 | − 3.38217 | − 3.86178 | 2.58E−15 |
\({F_{20}}\) | − 3.28654 | − 3.25056 | − 3.26634 | 0.060516 | − 3.3222 | 0 | − 3.2865 | − 3.2505 | − 3.18654 | − 3.05056 | − 7.74807 | 6.84582E−14 |
\({F_{21}}\) | − 10.1514 | − 9.14015 | − 6.8651 | 3.019644 | − 3.86903 | 1.36967 | − 10.1514 | − 9.1402 | − 10.1532 | 0.0000025 | − 5.3977697 | 6.7082E−06 |
\({F_{22}}\) | − 10.4015 | -8.58441 | -8.45653 | 3.087094 | − 10.4029 | 1.26E-15 | − 10.4015 | −8.584 | -10.4029 | 3.9E−07 | − 10.4029 | 3.9E−07 |
\({F_{23}}\) | − 10.5343 | -8.55899 | − 9.95291 | 1.782786 | − 10.5364 | 1.26E−15 | − 10.5343 | − 8.5589 | − 10.5364 | 1.9E−07 | − 6.18343928 | 8.22295E−06 |
