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. 2023 Oct 25;13:18314. doi: 10.1038/s41598-023-43748-w

Table 2.

Simulation results of AVOA, DBO, GTO, GWO, HHO and PBSO, f6 to f12.

Function Data tpye AVOA DBO GTO GWO HHO PBSO
6 Mean 4.170E+01 6.806E+01 7.445E+01 2.586E+01 7.577E+01 3.839E+01
STD 4.373E+00 9.030E+00 1.479E+01 4.981E+00 3.419E+00 8.915E+00
Best 2.622E+00 7.918E+05 6.702E+08 1.511E+10 1.483E+08 1.552E−01
Worst 3.062E+04 1.658E+08 6.911E+09 4.236E+10 2.589E+08 9.351E+04
Rank 3 4 5 1 6 2
7 Mean 2.123E+03 1.521E+03 1.745E+03 1.022E+03 2.730E+03 7.912E+02
STD 1.690E+02 3.473E+02 2.712E+02 1.131E+02 1.220E+02 1.367E+02
Best 2.622E+00 7.918E+05 6.702E+08 1.511E+10 1.483E+08 1.552E−01
Worst 3.062E+04 1.658E+08 6.911E+09 4.236E+10 2.589E+08 9.351E+04
Rank 5 3 4 2 6 1
8 Mean 8.978E+02 1.158E+03 8.368E+02 5.404E+02 1.037E+03 7.330E+02
STD 8.606E+01 1.868E+02 1.680E+02 6.259E+01 7.166E+01 1.527E+02
Best 2.622E+00 7.918E+05 6.702E+08 1.511E+10 1.483E+08 1.552E−01
Worst 3.062E+04 1.658E+08 6.911E+09 4.236E+10 2.589E+08 9.351E+04
Rank 4 6 3 1 5 2
9 Mean 2.177E+04 3.655E+04 5.218E+04 2.088E+04 2.932E+04 2.887E+04
STD 1.385E+03 1.019E+04 2.116E+04 9.788E+03 3.416E+03 9.101E+03
Best 2.622E+00 7.918E+05 6.702E+08 1.511E+10 1.483E+08 1.552E−01
Worst 3.062E+04 1.658E+08 6.911E+09 4.236E+10 2.589E+08 9.351E+04
Rank 2 5 6 1 4 3
10 Mean 1.523E+04 1.711E+04 2.656E+04 1.339E+04 1.745E+04 1.641E+04
STD 1.747E+03 2.183E+03 6.264E+03 1.336E+03 1.580E+03 5.769E+03
Best 2.622E+00 7.918E+05 6.702E+08 1.511E+10 1.483E+08 1.552E−01
Worst 3.062E+04 1.658E+08 6.911E+09 4.236E+10 2.589E+08 9.351E+04
Rank 2 4 6 1 5 3
11 Mean 1.241E+03 1.100E+04 9.393E+04 3.726E+04 1.923E+03 4.984E+02
STD 2.125E+02 1.175E+04 1.453E+05 9.118E+03 2.395E+02 1.800E+02
Best 2.622E+00 7.918E+05 6.702E+08 1.511E+10 1.483E+08 1.552E−01
Worst 3.062E+04 1.658E+08 6.911E+09 4.236E+10 2.589E+08 9.351E+04
Rank 2 4 6 5 3 1
12 Mean 1.129E+07 4.880E+08 3.921E+08 4.746E+09 2.729E+08 9.332E+06
STD 4.803E+06 2.824E+08 1.840E+08 2.502E+09 6.969E+07 3.408E+06
Best 2.622E+00 7.918E+05 6.702E+08 1.511E+10 1.483E+08 1.552E−01
Worst 3.062E+04 1.658E+08 6.911E+09 4.236E+10 2.589E+08 9.351E+04
Rank 2 5 4 6 3 1