Table 4 Fitness values generated by competitor algorithms over 30 experiments conducted for CEC'2020.

F1

Mean

6.473E+06

8.199E+08

2.565E+09

6.759E+03

5.652E+05

3.830E+03

1.829E+03

1.000E+02

Std

8.747E+06

3.019E+08

2.068E+09

4.193E+03

5.827E+05

2.234E+03

1.629E+03

1.828E−02

Best

6.949E+05

2.944E+08

1.078E+07

2.415E+02

9.659E+04

1.572E+02

1.159E+02

1.000E+02

Worst

4.477E+07

1.481E+09

7.693E+09

1.271E+04

3.162E+06

9.526E+03

6.359E+03

1.001E+02

F2

Mean

2.175E+03

2.370E+03

2.077E+03

1.594E+03

2.080E+03

1.693E+03

1.471E+03

1.336E+03

Std

2.943E+02

1.937E+02

3.455E+02

2.244E+02

2.491E+02

2.079E+02

1.985E+02

1.548E+02

Best

1.615E+03

1.927E+03

1.414E+03

1.226E+03

1.605E+03

1.324E+03

1.115E+03

1.100E+03

Worst

2.750E+03

2.899E+03

2.863E+03

2.051E+03

2.698E+03

2.078E+03

1.936E+03

1.699E+03

F3

Mean

7.777E+02

7.766E+02

7.936E+02

7.284E+02

7.819E+02

7.609E+02

7.365E+02

7.255E+02

Std

2.592E+01

1.088E+01

3.091E+01

8.521E+00

1.784E+01

1.656E+01

1.138E+01

8.629E+00

Best

7.261E+02

7.532E+02

7.470E+02

7.176E+02

7.418E+02

7.208E+02

7.216E+02

7.135E+02

Worst

8.416E+02

7.971E+02

8.598E+02

7.558E+02

8.185E+02

8.084E+02

7.717E+02

7.505E+02

F4

Mean

1.908E+03

1.928E+03

1.634E+04

1.901E+03

1.908E+03

1.902E+03

1.901E+03

1.901E+03

Std

9.512E+00

1.970E+01

2.714E+04

5.555E−01

2.992E+00

1.465E+00

7.627E−01

7.439E−01

Best

1.903E+03

1.909E+03

1.903E+03

1.901E+03

1.903E+03

1.900E+03

1.900E+03

1.900E+03

Worst

1.955E+03

2.007E+03

1.252E+05

1.903E+03

1.913E+03

1.906E+03

1.904E+03

1.903E+03

F5

Mean

3.308E+05

4.694E+04

4.427E+05

7.437E+03

5.209E+04

4.211E+03

6.619E+03

2.719E+03

Std

5.992E+05

6.608E+04

3.475E+05

5.520E+03

6.303E+04

1.377E+03

4.882E+03

1.507E+03

Best

9.792E+03

1.029E+04

2.724E+03

1.854E+03

2.861E+03

2.302E+03

1.744E+03

1.719E+03

Worst

2.614E+06

3.812E+05

9.381E+05

1.939E+04

2.084E+05

7.488E+03

2.291E+04

8.325E+03

F6

Mean

1.612E+03

1.603E+03

1.630E+03

1.601E+03

1.620E+03

1.601E+03

1.602E+03

1.601E+03

Std

1.299E+01

2.398E+00

2.318E+01

3.053E−01

8.626E+00

2.714E−01

3.043E+00

3.210E−01

Best

1.601E+03

1.601E+03

1.601E+03

1.601E+03

1.601E+03

1.601E+03

1.601E+03

1.601E+03

Worst

1.660E+03

1.615E+03

1.667E+03

1.602E+03

1.632E+03

1.602E+03

1.618E+03

1.602E+03

F7

Mean

1.756E+05

1.368E+04

4.182E+04

6.657E+03

1.341E+04

4.414E+03

3.288E+03

2.125E+03

Std

2.557E+05

7.169E+03

7.349E+04

6.060E+03

2.811E+04

3.051E+03

2.278E+03

3.179E+01

Best

1.131E+04

4.463E+03

2.654E+03

2.241E+03

2.451E+03

2.144E+03

2.102E+03

2.100E+03

Worst

9.505E+05

3.215E+04

2.038E+05

2.112E+04

1.573E+05

1.391E+04

9.947E+03

2.235E+03

F8

Mean

2.348E+03

2.392E+03

2.620E+03

2.412E+03

2.410E+03

2.305E+03

2.300E+03

2.299E+03

Std

1.612E+02

4.104E+01

4.015E+02

3.440E+02

3.016E+02

1.645E+01

1.187E+01

1.670E+01

Best

2.261E+03

2.298E+03

2.234E+03

2.228E+03

2.264E+03

2.222E+03

2.237E+03

2.211E+03

Worst

3.199E+03

2.481E+03

4.127E+03

3.540E+03

3.562E+03

2.324E+03

2.305E+03

2.308E+03

F9

Mean

2.770E+03

2.773E+03

2.793E+03

2.739E+03

2.829E+03

2.748E+03

2.654E+03

2.647E+03

Std

5.640E+01

6.138E+01

1.038E+02

6.552E+01

5.099E+01

8.740E+00

1.218E+02

1.224E+02

Best

2.561E+03

2.545E+03

2.554E+03

2.500E+03

2.739E+03

2.734E+03

2.500E+03

2.500E+03

Worst

2.829E+03

2.813E+03

2.906E+03

2.776E+03

2.936E+03

2.766E+03

2.768E+03

2.768E+03

F10

Mean

2.948E+03

2.980E+03

3.039E+03

2.936E+03

2.932E+03

2.921E+03

2.932E+03

2.930E+03

Std

3.155E+01

2.636E+01

1.671E+02

3.068E+01

3.452E+01

2.464E+01

2.180E+01

2.205E+01

Best

2.902E+03

2.941E+03

2.899E+03

2.898E+03

2.899E+03

2.898E+03

2.898E+03

2.898E+03

Worst

3.030E+03

3.064E+03

3.648E+03

3.024E+03

3.028E+03

2.956E+03

2.951E+03

2.947E+03

Friedman mean rank

5.19

5.80

6.15

4.60

4.85

4.22

3.23

2.02

rank

6

7

8

4

5

3

2

1