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

Table 3.

Simulation results of AVOA, DBO, GTO, GWO, HHO and PBSO, f13 to f19.

Function Data tpye AVOA DBO GTO GWO HHO PBSO
13 Mean 4.516E+04 6.794E+06 2.840E+04 3.244E+08 3.305E+06 9.243E+03
STD 1.080E+04 8.399E+06 1.145E+04 2.932E+08 1.037E+06 1.123E+04
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 5 2 6 4 1
14 Mean 1.967E+05 5.406E+06 7.537E+05 3.318E+06 8.902E+05 2.475E+05
STD 8.369E+04 5.249E+06 4.854E+05 1.865E+06 2.941E+05 1.202E+05
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 1 6 3 5 4 2
15 Mean 2.298E+04 1.255E+06 6.464E+03 3.429E+07 9.133E+05 8.271E+03
STD 9.763E+03 2.150E+06 3.552E+03 5.476E+07 3.037E+05 1.242E+04
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 5 1 6 4 2
16 Mean 4.741E+03 6.090E+03 5.968E+03 3.968E+03 5.462E+03 4.686E+03
STD 7.264E+02 1.021E+03 1.974E+03 5.655E+02 6.696E+02 9.264E+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 3 6 5 1 4 2
17 Mean 4.152E+03 5.112E+03 3.722E+03 2.778E+03 4.439E+03 4.051E+03
STD 7.030E+02 8.359E+02 7.296E+02 4.274E+02 7.151E+02 6.889E+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 2 1 5 3
18 Mean 3.622E+05 6.755E+06 1.559E+06 3.610E+06 1.940E+06 1.331E+06
STD 1.312E+05 4.544E+06 8.807E+05 4.031E+06 7.811E+05 7.441E+05
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 1 6 3 5 4 2
19 Mean 1.120E+04 1.784E+06 1.539E+04 8.358E+07 3.840E+06 1.575E+04
STD 8.368E+03 1.703E+06 1.481E+04 8.375E+07 1.451E+06 1.898E+04
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 1 4 2 6 5 3