Table 9.
Comparison of IRIME with conventional algorithms
| F1 |
F2 |
F3 |
||||
|---|---|---|---|---|---|---|
| AVG | STD | AVG | STD | AVG | STD | |
| IRIME | 1.000000E+02 | 8.228886E-07 | 1.092587E+04 | 2.557057E+04 | 3.000768E+02 | 8.230567E-02 |
| SCA | 1.841382E+10 | 3.722769E+09 | 7.136067E+32 | 1.990604E+33 | 3.706668E+04 | 4.666736E+03 |
| WOA | 6.004626E+06 | 6.340405E+06 | 2.066092E+29 | 1.113738E+30 | 1.338299E+04 | 5.360271E+03 |
| DE | 1.333382E+02 | 1.663241E+02 | 1.983923E+25 | 3.478891E+25 | 1.996025E+04 | 3.770712E+03 |
| SSA | 2.792499E+03 | 3.017484E+03 | 4.056705E+06 | 2.112276E+07 | 3.000000E+02 | 8.818389E-09 |
| PSO | 1.389773E+08 | 1.936371E+07 | 2.561524E+12 | 2.515226E+12 | 6.259001E+02 | 3.466948E+01 |
| MFO | 1.178499E+10 | 5.277154E+09 | 4.606288E+38 | 2.268979E+39 | 1.139089E+05 | 5.365509E+04 |
| GWO | 3.656408E+09 | 2.680374E+09 | 8.477831E+28 | 2.813243E+29 | 3.158195E+04 | 9.978276E+03 |
| BA | 3.979009E+05 | 1.875329E+05 | 2.001667E+02 | 9.128709E-01 | 3.000746E+02 | 4.876542E-02 |
| CS | 1.000000E+10 | 0.000000E+00 | 1.000000E+10 | 0.000000E+00 | 1.185032E+04 | 2.895928E+03 |
| FA | 1.422799E+10 | 1.490877E+09 | 2.637550E+34 | 2.817855E+34 | 5.846299E+04 | 8.407209E+03 |
| CPA | 2.114254E+03 | 2.746738E+03 | 1.107555E+05 | 5.629322E+05 | 3.000000E+02 | 1.708056E-07 |
| HHO | 1.397816E+07 | 2.883833E+06 | 2.473100E+12 | 7.349195E+12 | 2.801396E+03 | 1.243863E+03 |
| RIME | 7.124393E+03 | 4.505485E+03 | 2.058783E+04 | 5.563495E+04 | 3.016689E+02 | 7.524137E-01 |
| F4 |
F5 |
F6 |
||||
|---|---|---|---|---|---|---|
| AVG | STD | AVG | STD | AVG | STD | |
| IRIME | 4.047558E+02 | 1.615793E+01 | 5.592333E+02 | 1.350497E+01 | 6.000030E+02 | 2.016607E-03 |
| SCA | 1.374591E+03 | 2.771825E+02 | 7.588440E+02 | 1.443074E+01 | 6.417769E+02 | 5.229569E+00 |
| WOA | 5.840244E+02 | 5.335661E+01 | 6.972605E+02 | 4.197744E+01 | 6.644217E+02 | 1.299889E+01 |
| DE | 4.901688E+02 | 3.989320E+01 | 6.123099E+02 | 1.004958E+01 | 6.000000E+02 | 0.000000E+00 |
| SSA | 4.880627E+02 | 3.685931E+01 | 6.083748E+02 | 3.205830E+01 | 6.293176E+02 | 1.206613E+01 |
| PSO | 4.559716E+02 | 3.206651E+01 | 6.922583E+02 | 2.502204E+01 | 6.343293E+02 | 1.113896E+01 |
| MFO | 1.249248E+03 | 7.468984E+02 | 7.099112E+02 | 3.925173E+01 | 6.444544E+02 | 9.505611E+00 |
| GWO | 6.646073E+02 | 1.181156E+02 | 5.870130E+02 | 2.823283E+01 | 6.064975E+02 | 3.413389E+00 |
| BA | 4.492754E+02 | 5.335580E+01 | 7.378640E+02 | 4.005934E+01 | 6.715805E+02 | 1.149586E+01 |
| CS | 4.193988E+02 | 2.958199E+01 | 6.269874E+02 | 2.190149E+01 | 6.269248E+02 | 8.245281E+00 |
| FA | 1.482195E+03 | 1.539432E+02 | 7.535040E+02 | 1.239110E+01 | 6.437613E+02 | 3.892201E+00 |
| CPA | 4.741417E+02 | 4.920473E+01 | 6.277521E+02 | 2.556818E+01 | 6.000000E+02 | 1.993686E-07 |
| HHO | 5.452018E+02 | 3.950364E+01 | 6.738793E+02 | 1.994907E+01 | 6.526138E+02 | 3.710877E+00 |
| RIME | 4.869630E+02 | 2.962177E+01 | 5.771337E+02 | 1.783255E+01 | 6.003665E+02 | 2.821859E-01 |
| F7 |
F8 |
F9 |
||||
|---|---|---|---|---|---|---|
| AVG | STD | AVG | STD | AVG | STD | |
| IRIME | 7.883173E+02 | 1.821927E+01 | 8.592822E+02 | 1.301643E+01 | 9.000454E+02 | 1.386272E-01 |
| SCA | 1.203477E+03 | 5.847467E+01 | 1.077141E+03 | 2.148756E+01 | 7.055291E+03 | 1.483905E+03 |
| WOA | 1.305250E+03 | 1.357140E+02 | 1.079100E+03 | 5.445599E+01 | 9.026235E+03 | 3.453609E+03 |
| DE | 8.431410E+02 | 9.738404E+00 | 9.123994E+02 | 6.583571E+00 | 9.000000E+02 | 2.985563E-14 |
| SSA | 8.727399E+02 | 4.585326E+01 | 9.195604E+02 | 3.175260E+01 | 3.902221E+03 | 1.700013E+03 |
| PSO | 9.195953E+02 | 1.906608E+01 | 1.041707E+03 | 3.675778E+01 | 6.310334E+03 | 2.485837E+03 |
| MFO | 1.223923E+03 | 2.587419E+02 | 1.007102E+03 | 4.956693E+01 | 8.133813E+03 | 2.578392E+03 |
| GWO | 8.687501E+02 | 5.299589E+01 | 8.966145E+02 | 2.657562E+01 | 2.549040E+03 | 8.862296E+02 |
| BA | 1.672298E+03 | 2.052284E+02 | 1.121454E+03 | 5.642799E+01 | 1.596200E+04 | 4.562495E+03 |
| CS | 8.931793E+02 | 2.914000E+01 | 9.358801E+02 | 2.485981E+01 | 5.137085E+03 | 1.624264E+03 |
| FA | 1.378286E+03 | 4.499559E+01 | 1.053642E+03 | 1.212715E+01 | 5.904095E+03 | 5.642448E+02 |
| CPA | 8.489678E+02 | 3.506446E+01 | 8.985005E+02 | 2.920458E+01 | 3.316187E+03 | 7.771718E+02 |
| HHO | 1.302266E+03 | 9.362298E+01 | 1.076979E+03 | 4.260311E+01 | 7.620443E+03 | 1.098960E+03 |
| RIME | 8.108969E+02 | 2.663949E+01 | 8.771250E+02 | 1.542515E+01 | 1.282633E+03 | 7.780124E+02 |
| F10 |
F11 |
F12 |
||||
|---|---|---|---|---|---|---|
| AVG | STD | AVG | STD | AVG | STD | |
| IRIME | 3.113983E+03 | 4.683815E+02 | 1.130403E+03 | 1.468068E+01 | 3.319172E+03 | 7.705038E+02 |
| SCA | 7.981345E+03 | 3.150563E+02 | 3.022295E+03 | 6.445754E+02 | 1.574493E+09 | 3.979278E+08 |
| WOA | 5.934370E+03 | 7.789161E+02 | 1.481984E+03 | 8.519552E+01 | 1.382265E+08 | 7.101250E+07 |
| DE | 5.672989E+03 | 2.624536E+02 | 1.152053E+03 | 8.966502E+00 | 2.025299E+04 | 4.813425E+04 |
| SSA | 4.452536E+03 | 7.094846E+02 | 1.344872E+03 | 7.211084E+01 | 9.182351E+06 | 5.040467E+06 |
| PSO | 5.643005E+03 | 5.073707E+02 | 1.347653E+03 | 5.680875E+01 | 8.995054E+07 | 3.766610E+07 |
| MFO | 5.147688E+03 | 8.203648E+02 | 8.873480E+03 | 7.933486E+03 | 1.033950E+09 | 1.367383E+09 |
| GWO | 3.885633E+03 | 9.366685E+02 | 2.439886E+03 | 1.375237E+03 | 2.211911E+08 | 5.231662E+08 |
| BA | 5.665602E+03 | 6.360143E+02 | 1.463662E+03 | 1.486178E+02 | 7.653362E+06 | 7.277742E+06 |
| CS | 4.458374E+03 | 2.296132E+02 | 1.185109E+03 | 1.742362E+01 | 9.666740E+09 | 1.825338E+09 |
| FA | 7.802109E+03 | 2.450349E+02 | 4.351898E+03 | 6.829350E+02 | 2.681007E+09 | 3.497603E+08 |
| CPA | 3.335836E+03 | 4.680002E+02 | 1.153764E+03 | 2.469058E+01 | 6.094811E+04 | 5.596317E+04 |
| HHO | 4.635003E+03 | 5.314861E+02 | 1.373707E+03 | 9.325560E+01 | 5.779730E+07 | 3.642617E+07 |
| RIME | 3.409716E+03 | 5.427260E+02 | 1.236769E+03 | 6.668725E+01 | 3.654135E+06 | 2.400589E+06 |
| F13 |
F14 |
F15 |
||||
|---|---|---|---|---|---|---|
| AVG | STD | AVG | STD | AVG | STD | |
| IRIME | 1.336538E+03 | 8.473889E+00 | 1.443824E+03 | 8.556915E+00 | 1.553682E+03 | 2.436474E+01 |
| SCA | 1.135809E+08 | 3.597453E+07 | 1.857652E+05 | 8.431296E+04 | 4.841776E+06 | 2.356802E+06 |
| WOA | 1.000657E+05 | 7.298211E+04 | 2.780113E+05 | 1.802183E+05 | 5.291920E+04 | 8.617273E+04 |
| DE | 1.412306E+03 | 3.210871E+02 | 1.464071E+03 | 7.837059E+00 | 1.550860E+03 | 1.334677E+01 |
| SSA | 9.785285E+04 | 1.030243E+05 | 2.465348E+04 | 2.001924E+04 | 3.396406E+04 | 1.937665E+04 |
| PSO | 2.672529E+06 | 6.920589E+05 | 2.900206E+04 | 1.903076E+04 | 3.161740E+05 | 1.329552E+05 |
| MFO | 8.890284E+07 | 2.019387E+08 | 4.818146E+05 | 1.166317E+06 | 4.578076E+04 | 4.589563E+04 |
| GWO | 1.493141E+07 | 2.605109E+07 | 1.207818E+05 | 1.325602E+05 | 2.080886E+06 | 1.127817E+07 |
| BA | 2.056385E+05 | 1.475900E+05 | 1.764583E+04 | 8.026951E+03 | 9.857857E+04 | 9.742760E+04 |
| CS | 1.403952E+03 | 2.910464E+01 | 1.467773E+03 | 8.666795E+00 | 1.566742E+03 | 1.286895E+01 |
| FA | 4.300832E+08 | 1.161389E+08 | 3.545473E+05 | 1.403319E+05 | 5.339371E+07 | 1.919045E+07 |
| CPA | 3.945263E+03 | 2.400788E+03 | 1.467093E+03 | 3.012936E+01 | 7.282572E+03 | 4.871670E+03 |
| HHO | 1.949828E+05 | 8.419094E+04 | 4.341608E+04 | 3.603063E+04 | 3.486027E+04 | 1.511152E+04 |
| RIME | 4.237048E+03 | 2.386911E+03 | 1.521076E+03 | 4.668063E+01 | 7.385270E+03 | 4.797001E+03 |
| F16 |
F17 |
F18 |
||||
|---|---|---|---|---|---|---|
| AVG | STD | AVG | STD | AVG | STD | |
| IRIME | 2.157519E+03 | 2.319810E+02 | 1.942563E+03 | 8.414615E+01 | 1.227806E+04 | 8.274997E+03 |
| SCA | 3.297912E+03 | 2.433252E+02 | 2.544122E+03 | 1.996151E+02 | 1.843845E+06 | 9.558486E+05 |
| WOA | 3.325774E+03 | 4.574786E+02 | 2.621453E+03 | 3.052444E+02 | 4.481267E+06 | 3.637390E+06 |
| DE | 2.025687E+03 | 1.610609E+02 | 1.965870E+03 | 4.022178E+01 | 3.533861E+05 | 1.845308E+05 |
| SSA | 2.392214E+03 | 2.408053E+02 | 2.084263E+03 | 1.671643E+02 | 6.859217E+04 | 5.922140E+04 |
| PSO | 2.668135E+03 | 2.316809E+02 | 2.379098E+03 | 2.458484E+02 | 8.997152E+04 | 4.816071E+04 |
| MFO | 3.191869E+03 | 4.313203E+02 | 2.382983E+03 | 2.636714E+02 | 2.996153E+05 | 6.695035E+05 |
| GWO | 2.252737E+03 | 2.427924E+02 | 1.984203E+03 | 1.120046E+02 | 7.415711E+05 | 1.403432E+06 |
| BA | 3.490398E+03 | 5.264603E+02 | 2.771914E+03 | 3.374694E+02 | 6.745901E+04 | 2.947320E+04 |
| CS | 2.458258E+03 | 1.646827E+02 | 2.093107E+03 | 8.895653E+01 | 2.839660E+04 | 8.739249E+03 |
| FA | 3.171391E+03 | 1.900067E+02 | 2.556076E+03 | 1.239653E+02 | 2.123477E+06 | 7.703717E+05 |
| CPA | 2.638873E+03 | 3.589458E+02 | 2.035829E+03 | 1.520298E+02 | 8.337727E+04 | 5.771694E+04 |
| HHO | 2.853986E+03 | 4.348123E+02 | 2.518518E+03 | 2.613917E+02 | 1.479073E+06 | 1.536378E+06 |
| RIME | 2.361515E+03 | 2.358123E+02 | 1.997354E+03 | 1.314076E+02 | 1.082342E+05 | 6.657172E+04 |
| F19 |
F20 |
F21 |
||||
|---|---|---|---|---|---|---|
| AVG | STD | AVG | STD | AVG | STD | |
| IRIME | 2.332181E+03 | 1.864812E+03 | 2.192876E+03 | 9.492175E+01 | 2.136135E+03 | 3.352597E+01 |
| SCA | 2.168794E+07 | 1.687208E+07 | 2.650003E+03 | 1.360133E+02 | 3.142386E+03 | 2.110077E+02 |
| WOA | 7.039075E+05 | 7.090756E+05 | 2.762562E+03 | 1.563571E+02 | 2.275860E+03 | 3.276134E+01 |
| DE | 4.947694E+03 | 2.473822E+03 | 2.216929E+03 | 4.611997E+01 | 2.187477E+03 | 1.809598E+01 |
| SSA | 1.667896E+05 | 1.140472E+05 | 2.432897E+03 | 1.772135E+02 | 2.203093E+03 | 3.248284E+01 |
| PSO | 3.430261E+05 | 1.514502E+05 | 2.653687E+03 | 1.678977E+02 | 2.177850E+03 | 3.668529E+01 |
| MFO | 3.757899E+05 | 1.837212E+06 | 2.678688E+03 | 2.917192E+02 | 2.874566E+03 | 8.105786E+02 |
| GWO | 5.753903E+04 | 6.494282E+04 | 2.350499E+03 | 1.051505E+02 | 2.337764E+03 | 7.529951E+01 |
| BA | 2.695612E+05 | 1.461260E+05 | 2.978931E+03 | 2.096352E+02 | 2.161001E+03 | 4.171884E+01 |
| CS | 1.931255E+03 | 5.385502E+00 | 2.480485E+03 | 8.794099E+01 | 2.141894E+03 | 3.215894E+01 |
| FA | 3.416584E+07 | 1.587037E+07 | 2.599760E+03 | 9.585333E+01 | 3.244746E+03 | 1.713522E+02 |
| CPA | 4.131226E+03 | 2.932877E+03 | 2.409347E+03 | 1.245356E+02 | 2.192308E+03 | 2.812837E+01 |
| HHO | 1.482658E+05 | 9.248775E+04 | 2.802366E+03 | 2.084324E+02 | 2.264632E+03 | 2.386389E+01 |
| RIME | 8.102371E+03 | 6.772024E+03 | 2.285830E+03 | 1.169991E+02 | 2.197692E+03 | 3.982284E+01 |
| F22 |
F23 |
F24 |
||||
|---|---|---|---|---|---|---|
| AVG | STD | AVG | STD | AVG | STD | |
| IRIME | 2.265552E+03 | 1.375038E+01 | 2.500000E+03 | 2.412039E-05 | 2.600000E+03 | 2.234190E-13 |
| SCA | 2.469766E+03 | 1.862005E+01 | 3.280074E+03 | 5.293000E+01 | 3.860830E+03 | 7.261677E+01 |
| WOA | 2.434663E+03 | 4.591771E+01 | 3.152556E+03 | 1.486188E+02 | 2.826444E+03 | 4.640745E+02 |
| DE | 2.312139E+03 | 9.803931E+00 | 2.873856E+03 | 1.165131E+01 | 3.396319E+03 | 7.143519E+00 |
| SSA | 2.302442E+03 | 2.696481E+01 | 2.899683E+03 | 4.591268E+01 | 2.600461E+03 | 1.754068E+00 |
| PSO | 2.424424E+03 | 2.981972E+01 | 4.664458E+03 | 5.424066E+02 | 2.667356E+03 | 4.579105E+00 |
| MFO | 2.397898E+03 | 4.542225E+01 | 2.955630E+03 | 3.010570E+01 | 3.492602E+03 | 4.045296E+01 |
| GWO | 2.294783E+03 | 2.927255E+01 | 2.885035E+03 | 4.101812E+01 | 3.028401E+03 | 3.720900E+02 |
| BA | 2.490033E+03 | 5.712484E+01 | 3.541796E+03 | 2.055549E+02 | 2.846532E+03 | 4.871311E+02 |
| CS | 2.344756E+03 | 2.801735E+01 | 2.913872E+03 | 2.132308E+01 | 2.869770E+03 | 2.713068E+02 |
| FA | 2.445136E+03 | 1.294870E+01 | 3.103677E+03 | 1.621235E+01 | 3.691747E+03 | 1.601300E+01 |
| CPA | 2.313971E+03 | 2.535603E+01 | 2.500000E+03 | 0.000000E+00 | 2.600000E+03 | 0.000000E+00 |
| HHO | 2.428248E+03 | 2.689161E+01 | 2.500000E+03 | 0.000000E+00 | 2.600000E+03 | 0.000000E+00 |
| RIME | 2.288698E+03 | 1.933506E+01 | 2.875461E+03 | 1.894064E+01 | 3.218714E+03 | 3.332643E+02 |
| F25 |
F26 |
F27 |
||||
|---|---|---|---|---|---|---|
| AVG | STD | AVG | STD | AVG | STD | |
| IRIME | 2.700000E+03 | 3.014049E-06 | 2.800000E+03 | 7.966475E-13 | 2.917703E+03 | 9.696226E+01 |
| SCA | 3.620928E+03 | 1.263230E+02 | 7.789088E+03 | 1.025837E+03 | 4.061770E+03 | 1.175104E+02 |
| WOA | 2.717575E+03 | 9.626031E+01 | 3.542405E+03 | 1.941872E+03 | 3.968988E+03 | 2.352272E+02 |
| DE | 2.912818E+03 | 4.515466E+00 | 5.310729E+03 | 3.259103E+02 | 3.440492E+03 | 2.054747E+01 |
| SSA | 2.956126E+03 | 4.508026E+01 | 2.803337E+03 | 1.825686E+01 | 3.603933E+03 | 8.474287E+01 |
| PSO | 2.953735E+03 | 3.770860E+01 | 3.409442E+03 | 3.172684E+01 | 5.031577E+03 | 7.931823E+02 |
| MFO | 3.699591E+03 | 7.905559E+02 | 6.711784E+03 | 5.120422E+02 | 3.590907E+03 | 6.526928E+01 |
| GWO | 3.212052E+03 | 1.861504E+02 | 4.866584E+03 | 9.148374E+02 | 3.681051E+03 | 9.477657E+01 |
| BA | 3.013904E+03 | 8.224810E+01 | 5.309482E+03 | 3.576900E+03 | 3.906917E+03 | 1.275351E+02 |
| CS | 2.907161E+03 | 8.298785E+00 | 3.789000E+03 | 1.166225E+03 | 3.509616E+03 | 7.246362E+01 |
| FA | 4.108952E+03 | 1.520293E+02 | 7.293080E+03 | 1.459334E+02 | 3.902377E+03 | 8.965520E+01 |
| CPA | 2.700000E+03 | 0.000000E+00 | 2.800000E+03 | 0.000000E+00 | 2.900000E+03 | 0.000000E+00 |
| HHO | 2.700000E+03 | 0.000000E+00 | 2.800000E+03 | 0.000000E+00 | 2.900000E+03 | 0.000000E+00 |
| RIME | 2.956893E+03 | 4.093764E+01 | 5.213364E+03 | 8.405995E+02 | 3.566066E+03 | 7.106036E+01 |
| F28 |
F29 |
F30 |
||||
|---|---|---|---|---|---|---|
| AVG | STD | AVG | STD | AVG | STD | |
| IRIME | 3.034850E+03 | 8.227287E+01 | 3.279330E+03 | 8.123477E+01 | 5.583571E+03 | 2.871580E+03 |
| SCA | 5.650824E+03 | 5.471978E+02 | 4.271864E+03 | 2.801958E+02 | 7.855927E+06 | 1.863115E+07 |
| WOA | 3.308537E+03 | 6.514672E+02 | 4.361104E+03 | 4.091531E+02 | 1.826287E+06 | 1.767812E+06 |
| DE | 3.941911E+03 | 6.995067E+02 | 3.466897E+03 | 8.981603E+01 | 6.628119E+04 | 2.352216E+04 |
| SSA | 3.305292E+03 | 3.583736E+02 | 3.771022E+03 | 1.643812E+02 | 1.179055E+06 | 1.017255E+06 |
| PSO | 3.311009E+03 | 1.132244E+02 | 4.050026E+03 | 2.446224E+02 | 2.561684E+06 | 1.127760E+06 |
| MFO | 4.866595E+03 | 7.300049E+02 | 4.138832E+03 | 2.317888E+02 | 1.941961E+06 | 2.782699E+06 |
| GWO | 3.705572E+03 | 2.929996E+02 | 3.524327E+03 | 1.794326E+02 | 1.259130E+06 | 4.317675E+06 |
| BA | 3.415627E+03 | 5.750275E+02 | 4.654428E+03 | 4.556327E+02 | 1.054830E+06 | 6.501027E+05 |
| CS | 3.228935E+03 | 4.607668E+01 | 3.677880E+03 | 1.126906E+02 | 7.589453E+03 | 1.446341E+03 |
| FA | 4.068826E+03 | 1.044341E+02 | 4.559695E+03 | 1.650738E+02 | 1.171501E+08 | 3.086506E+07 |
| CPA | 3.000000E+03 | 0.000000E+00 | 3.100000E+03 | 0.000000E+00 | 3.200000E+03 | 0.000000E+00 |
| HHO | 3.000000E+03 | 0.000000E+00 | 3.100000E+03 | 0.000000E+00 | 3.200000E+03 | 0.000000E+00 |
| RIME | 3.549195E+03 | 6.610575E+02 | 3.609103E+03 | 1.811955E+02 | 3.838771E+04 | 2.085730E+04 |