Research Article
An Improved Squirrel Search Algorithm for Optimization
Table 9
Statistical results obtained by ISSA, SSA, PSO, CMFOA, IFFO, and FOA through 10 independent runs on multi-modal benchmark functions with n = 100.
| | Fun | | ISSA | SSA | PSO | CMFOA | IFFO | FOA |
| | F12 | Mean | 1.8989E-13 | 1.6584E-01 | 1.9996E+01 | 1.7809E-11 | 1.4744E-06 | 1.3554E+01 | | | Std | 2.0566E-14 | 5.3720E-02 | 9.0319E-02 | 1.9159E-12 | 1.8930E-07 | 6.0821E+00 | | F13 | Mean | 2.2871E-15 | 1.7736E-01 | 1.9447E+02 | 1.3452E-10 | 1.3291E-05 | 1.6379E+02 | | | Std | 2.6741E-15 | 5.3611E-02 | 6.2653E+00 | 3.8592E-11 | 5.5001E-06 | 1.3313E+01 | | F14 | Mean | 1.8736E-10 | 7.4259E+01 | 1.0132E+03 | 2.2866E-04 | 8.3534E-02 | 9.5534E+02 | | | Std | 3.7223E-11 | 1.9144E+01 | 1.8986E+01 | 1.4283E-05 | 1.0592E-02 | 5.3523E+01 | | F15 | Mean | 2.6814E+00 | 1.0178E+01 | 4.7083E+01 | 2.8083E+00 | 3.4325E+00 | 4.5859E+01 | | | Std | 7.3851E-01 | 1.6238E+00 | 2.2513E-01 | 4.6148E-01 | 6.0283E-01 | 6.9914E-01 | | F16 | Mean | 4.7116E-33 | 2.4454E-04 | 9.0382E+08 | 8.1890E-24 | 6.2347E-14 | 2.7647E+03 | | | Std | 7.2124E-49 | 5.9650E-05 | 6.4985E+07 | 6.7958E-24 | 5.5604E-14 | 4.4231E+03 | | F17 | Mean | 3.4494E-03 | 1.1896E-02 | 3.7816E+01 | 3.4509E-03 | 4.1885E-03 | 2.1280E+00 | | | Std | 6.0565E-03 | 6.5363E-03 | 1.5922E+00 | 4.6765E-03 | 8.6153E-03 | 5.4359E-02 | | F18 | Mean | 1.8033E+01 | 1.7806E+01 | 8.6826E+01 | 1.8319E+01 | 1.8828E+01 | 8.2458E+01 | | | Std | 1.9652E+00 | 3.8319E+00 | 9.3222E-01 | 2.9296E+00 | 2.5377E+00 | 1.5159E+00 | | F19 | Mean | 8.2462E+04 | 2.7944E+06 | 4.8046E+08 | 2.8415E+05 | 6.0265E+05 | 4.9201E+07 | | | Std | 5.5732E+04 | 8.9703E+05 | 9.6715E+07 | 2.4572E+05 | 2.7137E+05 | 7.2772E+06 | | F20 | Mean | 5.7130E-07 | 8.1688E-03 | 9.6848E-01 | 1.3631E-06 | 2.7143E-05 | 2.1656E+00 | | | Std | 6.1122E-07 | 5.3195E-03 | 4.4542E-01 | 2.5155E-06 | 5.8766E-05 | 8.0368E-01 | | F21 | Mean | 0.0000E+00 | 5.1414E+00 | 1.3305E+03 | 0.0000E+00 | 2.0026E-09 | 1.3623E+03 | | | Std | 0.0000E+00 | 1.7825E+00 | 2.2890E+01 | 0.0000E+00 | 3.2815E-10 | 6.0996E+01 | | F22 | Mean | 0.0000E+00 | 7.7848E+00 | 1.2609E+03 | 0.0000E+00 | 2.0383E-09 | 1.2745E+03 | | | Std | 0.0000E+00 | 2.3732E+00 | 2.9100E+01 | 0.0000E+00 | 2.9753E-10 | 5.9708E+01 | | F23 | Mean | 2.5599E+00 | 2.0499E+00 | 3.9804E+01 | 4.7099E+00 | 4.3699E+00 | 7.3691E+00 | | | Std | 3.6878E-01 | 1.5092E-01 | 6.9296E-01 | 5.9151E-01 | 5.6184E-01 | 1.7989E-01 | | F24 | Mean | 4.0927E-13 | 2.6229E+00 | 1.5145E+02 | 1.8874E-07 | 2.9476E-02 | 1.0478E+02 | | | Std | 8.8061E-14 | 6.3367E-01 | 4.2830E+00 | 3.7074E-08 | 1.7697E-03 | 1.1873E+01 | | F25 | Mean | 4.2987E+02 | 8.1178E+03 | 1.3524E+09 | 5.6790E+02 | 4.4982E+02 | 1.8038E+06 | | | Std | 4.3423E+02 | 3.3128E+02 | 7.8399E+07 | 5.4327E+02 | 4.6926E+02 | 2.1315E+05 |
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