Table 5 The comparison results of the algorithms with Dā=ā10 on the standard deviation (SD).
From: A novel intelligent global harmony search algorithm based on improved search stability strategy
| Ā | HS | IHS | GHS | SGHS | NGHS | IGHS | IMGHS | NIGHS |
|---|---|---|---|---|---|---|---|---|
F1 | 3.157117E+03 | 2.238299E+03 | 2.023615E+06 | 8.226284E+08 | 9.618513E+05 | 2.075218E+08 | 3.026722E+03 | 2.815500E+03 |
F2 | 3.681245E+01 | 1.541466Eā04 | 1.705384E+05 | 6.390310E+08 | 7.046274E+06 | 4.219783E+07 | 5.069793Eā03 | 1.654800Eā05 |
F3 | 2.402654E+02 | 0.000000E+00 | 3.256762E+02 | 2.429162E+03 | 1.423853E+04 | 2.115337E+02 | 6.119157Eā04 | 1.410700Eā08 |
F4 | 1.511192E+01 | 8.287461Eā01 | 3.109844E+01 | 5.539683E+01 | 3.714308E+01 | 3.495260E+01 | 2.167453E+01 | 9.880100Eā03 |
F5 | 3.868193E+00 | 4.556921E+00 | 4.995662E+00 | 8.075138E+00 | 9.671734E+00 | 9.125628E+00 | 9.679946E+00 | 5.512600E+00 |
F6 | 5.632713Eā02 | 2.336301Eā05 | 3.942273Eā01 | 5.861767E+00 | 3.726448Eā01 | 2.402125E+00 | 6.050812Eā01 | 1.332700Eā04 |
F7 | 7.307297E+00 | 5.993279E+00 | 7.060689E+00 | 2.652164E+01 | 9.545209E+00 | 1.182618E+01 | 1.068409E+01 | 7.210700E+00 |
F8 | 4.333300E+00 | 4.281194E+00 | 4.307906E+00 | 6.531243E+00 | 7.631085E+00 | 6.254299E+00 | 9.852846E+00 | 4.723000E+00 |
F9 | 8.245834E+00 | 1.250318E+01 | 1.196078E+01 | 1.786334E+02 | 5.029972E+01 | 2.953663E+01 | 8.199820E+01 | 1.253600Eā02 |
F10 | 1.441302E+02 | 1.589762E+02 | 1.745732E+02 | 1.754113E+02 | 2.382769E+02 | 2.236239E+02 | 2.231638E+02 | 1.849900E+02 |
F11 | 4.896088E+00 | 3.790836E+00 | 5.305782E+01 | 8.207131E+01 | 2.104694E+03 | 6.062726E+02 | 9.259823E+00 | 4.643800E+00 |
F12 | 3.841892E+04 | 1.698214E+04 | 1.574112E+05 | 2.703376E+07 | 3.172433E+06 | 1.148226E+06 | 1.054213E+04 | 5.069700E+03 |
F13 | 1.001119E+04 | 1.012826E+04 | 1.145075E+04 | 1.074968E+05 | 1.402090E+04 | 1.256247E+05 | 1.037862E+04 | 6.992600E+03 |
F14 | 7.006648E+03 | 5.522954E+03 | 2.147176E+03 | 1.221350E+02 | 7.554092E+03 | 5.646284E+03 | 7.759361E+03 | 6.328100E+02 |
F15 | 8.471770E+03 | 5.883461E+03 | 1.836074E+03 | 1.172249E+03 | 8.506765E+03 | 5.941242E+03 | 7.767935E+03 | 6.915500E+02 |
F16 | 9.658785E+01 | 1.052367E+02 | 9.207001E+01 | 7.649027E+01 | 1.624273E+02 | 1.167408E+02 | 1.582717E+02 | 7.375800E+01 |
F17 | 1.372130E+01 | 1.547942E+01 | 1.236455E+01 | 2.700804E+01 | 7.083862E+01 | 2.538505E+01 | 7.767468E+01 | 7.678400E+00 |
F18 | 8.607798E+03 | 8.795645E+03 | 5.661971E+03 | 3.162489E+05 | 1.154060E+04 | 3.849966E+05 | 1.098832E+04 | 9.371700E+03 |
F19 | 9.031860E+03 | 5.987647E+03 | 4.129975E+03 | 2.852037E+03 | 9.054784E+03 | 5.471260E+04 | 8.560898E+03 | 4.317100E+03 |
F20 | 5.931667E+00 | 6.098234E+00 | 4.069779E+00 | 2.536000E+01 | 1.125335E+01 | 1.157770E+01 | 1.088507E+01 | 8.020000E+00 |
F21 | 2.463861E+01 | 2.474735E+01 | 3.462078E+01 | 1.387511E+01 | 3.935563E+01 | 5.749930E+01 | 4.172461E+01 | 5.640000E+01 |
F22 | 2.726847E+02 | 2.993853E+02 | 4.118625E+01 | 6.374358E+01 | 5.246328E+02 | 2.484963E+01 | 5.577688E+02 | 1.696500E+00 |
F23 | 7.871882E+00 | 7.423315E+00 | 6.685624E+00 | 4.039476E+01 | 2.756917E+01 | 1.347747E+01 | 2.577728E+01 | 8.080700E+00 |
F24 | 6.260154E+01 | 5.623161E+01 | 5.295424E+01 | 4.201941E+01 | 9.080895E+01 | 6.163622E+01 | 1.017737E+02 | 3.656500E+01 |
F25 | 2.068780E+01 | 2.085310E+01 | 3.109816E+01 | 4.207752E+01 | 5.342638E+01 | 1.519722E+01 | 4.447559E+01 | 2.354700E+01 |
F26 | 5.016889E+02 | 5.039721E+02 | 1.535856E+02 | 9.299323E+01 | 6.095904E+02 | 2.173363E+02 | 5.849425E+02 | 1.306300E+02 |
F27 | 1.552200E+01 | 1.267574E+01 | 5.787664E+00 | 9.950950E+00 | 3.419072E+01 | 6.548021E+00 | 2.664334E+01 | 8.745300E+00 |
F28 | 1.175870E+02 | 1.416208E+02 | 4.324284E+01 | 5.978654E+01 | 1.247084E+02 | 1.184220E+02 | 1.602807E+02 | 1.254100E+02 |
F29 | 2.292976E+01 | 2.362148E+01 | 3.529465E+01 | 3.102604E+01 | 6.206546E+01 | 3.106894E+01 | 7.814361E+01 | 3.202800E+01 |
F30 | 4.625975E+05 | 1.919057E+05 | 3.845446E+05 | 1.477886E+06 | 1.116548E+06 | 4.204463E+05 | 4.634590E+05 | 2.947200E+05 |
+\ā\ā | 20\7\3 | 15\11\4 | 19\6\5 | 23\6\1 | 28\2\0 | 26\1\3 | 29\1\0 | Ā |