Research Article
An Improved Squirrel Search Algorithm for Optimization
Table 15
Results of Wilcoxon’s test for ISSA against other six algorithms for each benchmark function with 10 independent runs and
n = 50 (
= 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 | 2.0377E-06 | + | 5.1683E-10 | + | 4.4186E-07 | + | 5.5764E-07 | + | 3.1113E-12 | + | | F2 | 6.0105E-02 | - | 4.2014E-09 | + | 1.7277E-01 | - | 2.4422E-02 | + | 9.1132E-11 | + | | F3 | 1.7250E-06 | + | 1.3907E-16 | + | 9.8022E-02 | - | 1.0738E-05 | + | 1.8638E-11 | + | | F4 | 9.3262E-06 | + | 1.4595E-09 | + | 5.0379E-04 | + | 1.6848E-03 | + | 4.2472E-08 | + | | F5 | 5.7607E-10 | + | 9.2006E-10 | + | 2.3798E-02 | + | 8.1251E-01 | - | 1.0642E-06 | + | | F6 | 1.3107E-05 | + | 1.3362E-11 | + | 5.6932E-05 | + | 5.3828E-03 | + | 1.0919E-07 | + | | F7 | 5.7850E-07 | + | 1.8163E-10 | + | 6.7859E-05 | + | 3.5922E-05 | + | 1.3335E-10 | + | | F8 | 7.5219E-07 | + | 2.2270E-14 | + | 3.3394E-02 | + | 1.1235E-10 | + | 4.6085E-11 | + | | F9 | 3.9321E-08 | + | 3.3513E-01 | - | 2.6869E-10 | + | 3.7640E-09 | + | 1.7549E-01 | - | | F10 | 3.2994E-05 | + | 5.5796E-11 | + | 3.0272E-08 | + | 7.2141E-07 | + | 9.7090E-13 | + | | F11 | 2.4950E-02 | + | 1.8032E-05 | + | 3.9453E-02 | + | 7.8893E-02 | - | 3.0964E-04 | + | | F12 | 2.2790E-07 | + | 2.5730E-19 | + | 8.2015E-10 | + | 3.3180E-10 | + | 1.7587E-04 | + | | F13 | 8.6055E-06 | + | 2.6273E-12 | + | 2.3293E-03 | + | 9.9266E-05 | + | 9.8054E-12 | + | | F14 | 5.0086E-07 | + | 6.2475E-15 | + | 7.0383E-12 | + | 5.0688E-15 | + | 4.1146E-08 | + | | F15 | 1.7136E-01 | - | 1.3728E-13 | + | 9.4200E-01 | - | 5.9423E-01 | - | 3.3136E-15 | + | | F16 | 1.6083E-06 | + | 1.3679E-06 | + | 1.6464E-02 | + | 1.5895E-01 | - | 1.3483E-09 | + | | F17 | 2.9046E-01 | - | 3.9668E-14 | + | 6.8720E-01 | - | 6.2215E-01 | - | 2.9446E-18 | + | | F18 | 6.6743E-01 | - | 1.1386E-10 | + | 4.3569E-01 | - | 2.0341E-01 | - | 4.5540E-11 | + | | F19 | 3.6286E-03 | + | 9.2080E-07 | + | 2.7891E-03 | + | 1.0982E-02 | + | 2.8723E-09 | + | | F20 | 1.6305E-02 | + | 6.8713E-06 | + | 8.0834E-01 | - | 3.1893E-01 | - | 1.9845E-04 | + | | F21 | 2.1300E-06 | + | 1.7078E-12 | + | _ | = | 4.9113E-08 | + | 3.2451E-13 | + | | F22 | 2.0294E-05 | + | 3.1368E-13 | + | _ | = | 3.1089E-06 | + | 2.3903E-11 | + | | F23 | 1.2107E-04 | + | 6.0776E-15 | + | 7.7875E-06 | + | 7.0901E-05 | + | 1.7113E-09 | + | | F24 | 2.5888E-08 | + | 1.4322E-14 | + | 4.0414E-06 | + | 1.7080E-10 | + | 4.0917E-10 | + | | F25 | 3.1276E-06 | + | 3.9758E-08 | + | 9.8360E-01 | - | 4.9413E-01 | - | 4.5773E-08 | + | | F26 | 1.3214E-04 | + | 9.9102E-08 | + | 4.1042E-06 | + | 1.7402E-07 | + | 7.9545E-07 | + | | F27 | 1.6043E-01 | - | 1.9505E-12 | + | 3.4341E-01 | - | 3.9881E-01 | - | 1.4412E-09 | + | | F28 | 1.2130E-01 | - | 5.8692E-09 | + | 1.3887E-01 | - | 4.2578E-01 | - | 2.6464E-04 | + | | F29 | 8.4658E-04 | + | 1.6521E-08 | + | 2.0073E-04 | + | 2.7477E-03 | + | 1.1585E-05 | + | | F30 | 9.4213E-04 | + | 6.7411E-08 | + | 5.3101E-04 | + | 5.4640E-04 | + | 4.7099E-07 | + | | F31 | 4.6697E-01 | - | 4.2833E-14 | + | 7.9775E-01 | - | 4.0133E-01 | - | 1.1364E-10 | + | | F32 | 2.7813E-01 | - | 2.4129E-07 | + | 6.1643E-02 | - | 8.3535E-02 | - | 6.3552E-03 | + | | +/- | | 24/8 | | 31/1 | | 19/11 | | 20/12 | | 31/1 |
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