Research Article
An Improved Squirrel Search Algorithm for Optimization
Table 14
Results of Wilcoxon’s test for ISSA against other six algorithms for each benchmark function with 10 independent runs and
n = 30 (
= 0.05).
| | Fun | SSA vs ISSA | PSO vs ISSA | CMFOA vs ISSA | IFFO vs ISSA | FOA vs ISSA | | | p-value | win | p-value | win | p-value | win | p-value | win | p-value | win |
| | F1 | 1.5723E-03 | + | 5.4503E-11 | + | 2.1431E-06 | + | 1.2930E-04 | + | 3.1274E-08 | + | | F2 | 5.9105E-01 | - | 5.9726E-07 | + | 1.6785E-01 | - | 1.6785E-01 | - | 1.7438E-06 | + | | F3 | 1.8034E-01 | - | 5.6302E-11 | + | 6.6374E-01 | - | 4.4113E-06 | + | 1.8978E-10 | + | | F4 | 3.9391E-03 | + | 8.0559E-08 | + | 8.0897E-04 | + | 1.4754E-03 | + | 1.0215E-06 | + | | F5 | 7.5194E-07 | + | 3.5327E-08 | + | 2.2706E-01 | - | 4.2611E-02 | + | 1.5497E-06 | + | | F6 | 2.2263E-02 | + | 1.8702E-08 | + | 2.7096E-03 | + | 3.3147E-03 | + | 7.3030E-06 | + | | F7 | 3.9878E-03 | + | 2.1023E-10 | + | 2.6126E-07 | + | 1.1038E-04 | + | 5.8740E-11 | + | | F8 | 3.7778E-07 | + | 1.2311E-13 | + | 2.2556E-07 | + | 8.8317E-11 | + | 1.6744E-07 | + | | F9 | 2.5658E-06 | + | 3.9583E-05 | + | 2.0251E-08 | + | 2.7652E-08 | + | 6.8325E-02 | - | | F10 | 4.0986E-03 | + | 1.5715E-10 | + | 6.2372E-07 | + | 1.0581E-05 | + | 7.5777E-10 | + | | F11 | 1.6385E-01 | - | 5.5101E-04 | + | 4.5288E-03 | + | 6.2300E-02 | - | 1.4019E-03 | + | | F12 | 2.5148E-04 | + | 1.7221E-15 | + | 8.8689E-10 | + | 8.2337E-10 | + | 8.4091E-04 | + | | F13 | 6.2223E-04 | + | 8.2292E-11 | + | 1.7434E-04 | + | 6.8585E-02 | - | 5.6801E-08 | + | | F14 | 1.6770E-05 | + | 3.5961E-16 | + | 6.0168E-13 | + | 2.4086E-12 | + | 1.0063E-06 | + | | F15 | 9.1211E-03 | + | 4.2859E-14 | + | 7.9924E-01 | - | 9.6191E-01 | - | 1.2100E-14 | + | | F16 | 4.9253E-05 | + | 2.4808E-06 | + | 8.1048E-03 | + | 4.9672E-03 | + | 3.5094E-08 | + | | F17 | 5.2276E-01 | - | 1.1956E-10 | + | 1.6338E-01 | - | 8.7704E-01 | - | 1.2329E-18 | + | | F18 | 5.9605E-02 | - | 7.3103E-10 | + | 7.5245E-01 | - | 8.3423E-01 | - | 1.4080E-08 | + | | F19 | 4.0911E-03 | + | 2.0151E-06 | + | 4.5217E-03 | + | 9.3504E-03 | + | 6.9674E-08 | + | | F20 | 8.9857E-02 | - | 1.0735E-03 | + | 2.9254E-01 | - | 7.6513E-01 | - | 1.2493E-05 | + | | F21 | 8.0383E-04 | + | 1.3653E-14 | + | _ | = | 4.9618E-05 | + | 5.1686E-11 | + | | F22 | 9.6507E-05 | + | 5.1321E-12 | + | _ | = | 1.9712E-04 | + | 2.5703E-10 | + | | F23 | 1.0362E-03 | + | 3.7568E-14 | + | 1.6044E-02 | + | 1.9660E-04 | + | 7.4376E-08 | + | | F24 | 8.2001E-07 | + | 1.6038E-14 | + | 4.8491E-04 | + | 1.6951E-10 | + | 1.8472E-09 | + | | F25 | 1.4795E-03 | + | 1.2097E-06 | + | 1.9763E-01 | - | 4.3929E-02 | - | 8.2364E-08 | + | | F26 | 2.9892E-05 | + | 1.2127E-06 | + | 1.3438E-04 | + | 3.8826E-04 | + | 1.1510E-07 | + | | F27 | 2.4771E-03 | + | 7.7797E-10 | + | 2.5931E-02 | + | 9.5563E-03 | - | 3.8874E-12 | + | | F28 | 1.1525E-03 | + | 2.1817E-09 | + | 2.3075E-02 | + | 7.6652E-03 | + | 1.0245E-07 | + | | F29 | 9.9588E-05 | + | 3.4016E-06 | + | 6.1373E-05 | + | 2.1918E-03 | + | 2.3509E-05 | + | | F30 | 9.0190E-02 | - | 1.2454E-07 | + | 7.1059E-05 | + | 1.6503E-06 | + | 3.3480E-04 | + | | F31 | 2.5587E-01 | - | 9.8592E-11 | + | 2.2578E-01 | - | 1.3543E-01 | - | 7.9203E-02 | - | | F32 | 3.1415E-01 | - | 5.5580E-06 | + | 7.1757E-02 | - | 2.0510E-01 | - | 3.4882E-01 | - | | +/- | | 29/3 | | 32/0 | | 20/10 | | 23/9 | | 29/3 |
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