Table 9 Evaluation results of recent algorithms for the functions F16 to F30.
From: Learning cooking algorithm for solving global optimization problems
\({\text {Functions}}\) | \({\text {IGWO}}\) | \({\text {MWOA}}\) | \({\text {TLBO}}\) | \({\text {MTBO}}\) | \({\text {BWO}}\) | \({\text {HHO}}\) | \({\text {MGO}}\) | \({\text {SCSO}}\) | \({\text {LCA}}\) | |
|---|---|---|---|---|---|---|---|---|---|---|
\({\text {F16}}\) | Mean | –1.031628453 | –1.031628453 | –1.031628453 | –1.031628453 | –1.031519453 | –1.031628453 | –1.031628453 | –1.031628453 | \(-1.0316\) |
Std | 0 | 1.42155E–10 | 0 | 0 | 0.000138132 | 4.46706E–11 | 0 | 1.00851E–10 | \(4.5E-16\) | |
Best | –1.031628453 | –1.031628453 | –1.031628453 | –1.031628453 | –1.031622955 | –1.031628453 | –1.031628453 | –1.031628453 | \(-1.0316\) | |
Worst | –1.031628453 | –1.031628453 | –1.031628453 | –1.031628453 | –1.031170848 | –1.031628453 | –1.031628453 | –1.031628453 | \(-1.0316\) | |
Median | –1.031628453 | –1.031628453 | –1.031628453 | –1.031628453 | –1.031572739 | –1.031628453 | –1.031628453 | –1.031628453 | \(-1.0316\) | |
\({\text {F17}}\) | Mean | 0.397887358 | 0.397888203 | 0.397887358 | 0.397887358 | 0.399540375 | 0.397887548 | 0.397887358 | 0.397887378 | 0.397931 |
Std | 1.13906E–16 | 1.2932E–06 | 1.139E–16 | 1.139E–16 | 0.001699 | 3.986E–07 | 1.139E–16 | 2.98963E–08 | 3.596E–05 | |
Best | 0.397887358 | 0.397887358 | 0.397887358 | 0.397887358 | 0.398016352 | 0.397887358 | 0.397887358 | 0.397887358 | 0.39789 | |
Worst | 0.397887358 | 0.397892503 | 0.397887358 | 0.397887358 | 0.403096172 | 0.397888927 | 0.397887358 | 0.397887475 | 0.39799 | |
Median | 0.397887358 | 0.397887744 | 0.397887358 | 0.397887358 | 0.398783676 | 0.397887367 | 0.397887358 | 0.397887367 | 0.39793 | |
\({\text {F18}}\) | Mean | 3 | 3.00002562 | 3 | 3 | 3.806062772 | 3.000000021 | 3 | 3.000001943 | 3 |
Std | 9.11252E–16 | 7.2916E–05 | 9.11252E–16 | 9.11252E–16 | 1.051940928 | 5.51285E–08 | 2.55313E–15 | 1.9466E–06 | 0 | |
Best | 3 | 3 | 3 | 3 | 3.044339174 | 3 | 3 | 3.000000054 | 3 | |
Worst | 3 | 3.000330139 | 3 | 3 | 6.691037397 | 3.00000023 | 3 | 3.000007774 | 3 | |
Median | 3 | 3.000004633 | 3 | 3 | 3.233396062 | 3 | 3 | 3.000001323 | 3 | |
\({\text {F19}}\) | Mean | –3.862782148 | –3.859605134 | –0.300478907 | –3.862782148 | –3.859180338 | –3.861917162 | –3.862782148 | –3.860081434 | –3.8581 |
Std | 9.11252E–16 | 0.003485126 | 5.69532E–17 | 9.11252E–16 | 0.002706882 | 0.001167888 | 9.11252E–16 | 0.003779125 | 0.00417 | |
Best | –3.862782148 | –3.862759593 | –0.300478907 | –3.862782148 | –3.862576798 | –3.862781882 | –3.862782148 | –3.862782145 | –3.8617 | |
Worst | –3.862782148 | –3.854717509 | –0.300478907 | –3.862782148 | –3.854550597 | –3.858036371 | –3.862782148 | –3.854900607 | –3.8619 | |
Median | –3.862782148 | –3.861237973 | –0.300478907 | –3.862782148 | –3.85950753 | –3.862403254 | –3.862782148 | –3.862778104 | –3.8617 | |
\({\text {F20}}\) | Mean | –3.304161203 | –3.252259292 | –3.316032459 | –3.268493267 | –3.293716407 | –3.160182479 | –3.250659299 | –3.227916732 | –2.7719 |
Std | 0.043556204 | 0.082465905 | 0.026581182 | 0.060685164 | 0.034408508 | 0.106687397 | 0.059758618 | 0.084299104 | 0.18520 | |
Best | –3.321995172 | –3.32197519 | –3.321995172 | –3.321995172 | –3.312217711 | –3.300817033 | –3.321995172 | –3.321995075 | –2.9438 | |
Worst | –3.20310205 | –3.096228164 | –3.20310205 | –3.20310205 | –3.194823213 | –2.923391951 | –3.20310205 | –3.091737365 | –2.5042 | |
Median | –3.321995172 | –3.317268843 | –3.321995172 | –3.321995172 | –3.305296578 | –3.156799959 | –3.20310205 | –3.202835139 | –2.821 | |
\({\text {F21}}\) | Mean | –10.13108689 | –7.359709904 | –9.898299582 | –5.784013667 | –10.15319942 | –5.054494211 | –10.15319968 | –5.747122367 | \(-10.1532\) |
Std | 0.098891393 | 2.947520421 | 1.139947891 | 3.696588343 | 4.18419E–07 | 0.000578814 | 1.8225E–15 | 2.48879422 | 0 | |
Best | –10.15319968 | –10.15270958 | –10.15319968 | –10.15319968 | –10.15319966 | –5.055175115 | –10.15319968 | –10.15319327 | \(-10.1532\) | |
Worst | –9.710943925 | –2.629698008 | –5.055197729 | –2.630471668 | –10.15319809 | –5.05296594 | –10.15319968 | –0.880981825 | \(-10.1532\) | |
Median | –10.15319968 | –7.596502228 | –10.15319968 | –2.682860396 | –10.1531996 | –5.054720408 | –10.15319968 | –5.055197661 | \(-10.1532\) | |
\({\text {F22}}\) | Mean | –10.40294057 | –7.341118508 | –9.797225531 | –7.895871968 | –10.40293938 | –5.605019424 | –10.40294057 | –5.666829108 | –10.4029 |
Std | 4.62626E–10 | 2.866237264 | 1.874962926 | 3.52229388 | 1.45206E–06 | 1.595295236 | 0 | 2.744069867 | 3.6E–15 | |
Best | –10.40294057 | –10.4027869 | –10.40294057 | –10.40294057 | –10.40294056 | –10.35157951 | –10.40294057 | –10.40293898 | –10.4029 | |
Worst | –10.40294056 | –3.723326686 | –3.724300347 | –2.751933564 | –10.40293489 | –5.082777759 | –10.40294057 | –0.909805029 | –10.4029 | |
Median | –10.40294057 | –5.087661843 | –10.40294057 | –10.40294057 | –10.40293984 | –5.087250905 | –10.40294057 | –5.087671663 | –10.4029 | |
\({\text {F23}}\) | Mean | –10.53640982 | –6.987815674 | –10.26030948 | –8.66508135 | –10.53640888 | –5.6249448 | –10.53640982 | –5.942023398 | \(-10.5364\) |
Std | 2.28214E–14 | 2.673670225 | 1.234758254 | 3.331541553 | 8.68555E–07 | 1.531385105 | 5.46751E–15 | 1.980191343 | 5.467E–15 | |
Best | –10.53640982 | –10.53638074 | –10.53640982 | –10.53640982 | –10.53640976 | –10.19458146 | –10.53640982 | –10.53640356 | –10.5364 | |
Worst | –10.53640982 | –4.485847579 | –5.014403031 | –2.806630721 | –10.53640667 | –5.125527989 | –10.53640982 | –5.128480412 | –10.5364 | |
Median | –10.53640982 | –5.128479011 | –10.53640982 | –10.53640982 | –10.53640921 | –5.127701525 | –10.53640982 | –5.128480715 | –10.5364 | |
\({\text {F24}}\) | Mean | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) |
Std | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
Best | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | |
Worst | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | |
Median | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | \(-5\) | |
\({\text {F25}}\) | Mean | 1.671E–61 | 1.337E–148 | 1.963E–183 | 3.795E–09 | 0 | 1.771E–186 | 1.508E–147 | 5.544E–228 | 0 |
Std | 3.050E–61 | 5.971E–148 | 0 | 1.322E–08 | 0 | 0 | 6.477E–147 | 0 | 0 | |
Best | 1.497E–63 | 1.084E–164 | 4.313E–186 | 2.779E–13 | 0 | 3.399E–212 | 1.932E–157 | 1.275E–246 | 0 | |
Worst | 1.241E–60 | 2.670E–147 | 2.723E–182 | 5.927E–08 | 0 | 3.503E–185 | 2.901E–146 | 1.094E–226 | 0 | |
Median | 4.276E–62 | 4.140E–155 | 2.278E–184 | 3.309E–11 | 0 | 1.950E–200 | 9.140E–153 | 1.215E–238 | 0 | |
\({\text {F26}}\) | Mean | 8.274E–23 | 7.621E–02 | 0 | 0 | 9.081E–04 | 1.070E–12 | 1.938E–31 | 6.650E–10 | 2.591E–04 |
Std | 3.325E–22 | 2.346E–01 | 0 | 0 | 0 | 1.322E–03 | 3.213E–12 | 5.372E–31 | 9.166E–10 | |
Best | 8.971E–27 | 3.412E–16 | 0 | 0 | 1.505E–05 | 0 | 0 | 2.115E–13 | 2.271E–04 | |
Worst | 1.493E–21 | 7.621E–01 | 0 | 0 | 4.928E–03 | 1.353E–11 | 2.132E–30 | 3.597E–09 | 5.015E–04 | |
Median | 1.031E–24 | 1.173E–11 | 0 | 0 | 2.729E–04 | 5.970E–15 | 0 | 3.210E–10 | 2.271E–04 | |
\({\text {F27}}\) | Mean | –1 | –0.999999896 | –1 | –1 | –1 | –0.999998796 | –1 | –0.999999997 | –1 |
Std | 0 | 2.374E–07 | 0 | 0 | 0 | 0 | 1.675E–06 | 0 | 3.38776E–09 | |
Best | –1 | –1 | –1 | –1 | –1 | –0.999999999 | –1 | –1 | –1 | |
Worst | –1 | –0.99999904 | –1 | –1 | –1 | –0.999994265 | –1 | –0.999999985 | –1 | |
Median | –1 | –0.999999989 | –1 | –1 | –1 | –0.999999678 | –1 | –0.999999998 | –1 | |
\({\text {F28}}\) | Mean | 8.488E–307 | 0 | 8.086E–268 | 3.391E–117 | 0 | 2.921E–236 | 0 | 0 | 0 |
Std | 0 | 0 | 0 | 1.497E–116 | 0 | 0 | 0 | 0 | 0 | |
Best | 0 | 0 | 1.375E–281 | 5.398E–132 | 0 | 1.895E–295 | 0 | 0 | 0 | |
Worst | 5.093E–306 | 0 | 1.617E–266 | 6.700E–116 | 0 | 5.765E–235 | 0 | 0 | 0 | |
Median | 0 | 0 | 3.187E–275 | 3.618E–126 | 0 | 5.392E–275 | 0 | 0 | 0 | |
\({\text {F29}}\) | Mean | 4.273E–05 | 1.384E+00 | 4.005E–10 | 1.466E–03 | 9.976E–04 | 9.292E–05 | 2.893E–30 | 7.892E–01 | 0 |
Std | 3.582E–05 | 1.835E+00 | 7.816E–10 | 3.494E–03 | 1.151E–03 | 1.001E–04 | 3.845E–30 | 7.021E–01 | 0 | |
Best | 6.971E–06 | 1.955E–04 | 2.523E–13 | 1.704E–07 | 1.114E–04 | 5.153E–07 | 0 | 5.952E–03 | 0 | |
Worst | 1.216E–04 | 7.788E+00 | 3.047E–09 | 1.457E–02 | 4.900E–03 | 3.890E–04 | 1.438E–29 | 1.571E+00 | 0 | |
Median | 2.632E–05 | 8.529E–01 | 5.898E–11 | 5.418E–05 | 5.134E–04 | 7.440E–05 | 1.597E–30 | 1.030E+00 | 0 | |
\({\text {F30}}\) | Mean | –356.4 | –331.1999889 | –356.4 | –356.4 | –359.9965549 | –345.6 | –360 | –359.9999999 | \(-360\) |
Std | 16.09968944 | 36.18896836 | 16.09968944 | 16.09968944 | 0.002920961 | 29.54817654 | 0 | 7.02304E–08 | 0 | |
Best | –360 | –360 | –360 | –360 | –359.9999635 | –360 | –360 | –360 | \(-360\) | |
Worst | –288 | –288 | –288 | –288 | –359.989665 | –288 | –360 | –359.9999998 | \(-360\) | |
Median | –360 | –359.999978 | –360 | –360 | –359.9974954 | –360 | –360 | –360 | \(-360\) |
