Research Article
An Improved Squirrel Search Algorithm for Optimization
Table 8
Statistical results obtained by ISSA, SSA, PSO, CMFOA, IFFO, and FOA through 10 independent runs on multi-modal benchmark functions with n = 50.
| | Fun | | ISSA | SSA | PSO | CMFOA | IFFO | FOA |
| | F12 | Mean | 8.5798E-14 | 2.4174E-04 | 1.8459E+01 | 7.4044E-12 | 7.3673E-07 | 8.2226E+00 | | | Std | 1.7360E-14 | 5.5274E-05 | 1.9447E-01 | 8.8139E-13 | 8.0222E-08 | 4.2517E+00 | | F13 | Mean | 2.2538E-15 | 2.9492E-04 | 7.1594E+01 | 2.1041E-11 | 3.2004E-06 | 6.0959E+01 | | | Std | 1.8688E-15 | 1.0372E-04 | 4.5394E+00 | 1.5865E-11 | 1.5334E-06 | 4.4766E+00 | | F14 | Mean | 7.1759E-11 | 2.0261E+00 | 4.3430E+02 | 7.7682E-05 | 3.3324E-02 | 4.2669E+02 | | | Std | 2.4650E-11 | 5.0770E-01 | 1.4055E+01 | 5.4975E-06 | 1.0537E-03 | 8.0127E+01 | | F15 | Mean | 1.6716E+00 | 1.2749E+00 | 2.2241E+01 | 1.6927E+00 | 1.4937E+00 | 2.1617E+01 | | | Std | 7.6572E-01 | 4.3985E-01 | 3.3014E-01 | 4.7677E-01 | 6.3574E-01 | 5.4534E-01 | | F16 | Mean | 9.4233E-33 | 1.3057E-09 | 7.6995E+07 | 1.7755E-24 | 8.4648E-14 | 6.9921E+00 | | | Std | 1.4425E-48 | 3.7533E-10 | 2.1712E+07 | 1.9092E-24 | 1.7429E-13 | 8.9129E-01 | | F17 | Mean | 7.6377E-03 | 1.4219E-02 | 1.1606E+01 | 6.4039E-03 | 1.0080E-02 | 1.2641E+00 | | | Std | 5.7418E-03 | 2.1089E-02 | 4.6282E-01 | 7.0807E-03 | 1.3952E-02 | 1.6555E-02 | | F18 | Mean | 8.3103E+00 | 7.9047E+00 | 3.9689E+01 | 8.9467E+00 | 9.6041E+00 | 3.8726E+01 | | | Std | 2.6072E+00 | 2.5432E+00 | 7.7616E-01 | 7.8506E-01 | 2.1029E+00 | 1.3015E+00 | | F19 | Mean | 4.5562E+01 | 2.6833E+04 | 8.0668E+06 | 1.6118E+04 | 1.3155E+04 | 7.0015E+05 | | | Std | 3.8094E+01 | 2.1743E+04 | 2.1709E+06 | 1.2498E+04 | 1.3009E+04 | 9.7174E+04 | | F20 | Mean | 4.3064E-08 | 2.5702E-04 | 1.1519E-01 | 5.2365E-08 | 1.6998E-06 | 5.0047E-01 | | | Std | 4.4294E-08 | 2.7576E-04 | 3.9417E-02 | 9.5247E-08 | 4.9881E-06 | 2.6305E-01 | | F21 | Mean | 0.0000E+00 | 1.1310E-06 | 5.3146E+02 | 0.0000E+00 | 2.3711E-10 | 5.8748E+02 | | | Std | 0.0000E+00 | 3.3614E-07 | 3.2117E+01 | 0.0000E+00 | 4.5437E-11 | 2.9507E+01 | | F22 | Mean | 0.0000E+00 | 1.6167E-06 | 4.8729E+02 | 0.0000E+00 | 2.4407E-10 | 5.2060E+02 | | | Std | 0.0000E+00 | 6.3216E-07 | 2.4382E+01 | 0.0000E+00 | 7.5889E-11 | 4.2230E+01 | | F23 | Mean | 1.3699E+00 | 8.9987E-01 | 2.1237E+01 | 2.2699E+00 | 2.5899E+00 | 3.5955E+00 | | | Std | 2.3594E-01 | 6.6667E-02 | 5.8033E-01 | 4.1913E-01 | 6.2973E-01 | 1.2247E-01 | | F24 | Mean | 7.1054E-14 | 2.6826E-02 | 6.3090E+01 | 1.9033E-08 | 9.6037E-03 | 4.7263E+01 | | | Std | 2.7621E-14 | 4.7780E-03 | 2.2392E+00 | 6.1075E-09 | 9.7071E-04 | 5.2689E+00 | | F25 | Mean | 6.6563E+01 | 8.4722E+02 | 1.1275E+08 | 6.5780E+01 | 3.9992E+01 | 8.8242E+04 | | | Std | 1.0992E+02 | 2.1138E+02 | 2.1091E+07 | 9.4954E+01 | 4.3819E+01 | 1.6832E+04 |
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