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

Table 7.

Simulation results of BBPSO, DLSBBPSO, ETBBPSO, PBBPSO, TBBPSO and PBSO, f7 to f13.

Function Data type BBPSO DLSBBPSO ETBBPSO PBBPSO TBBPSO PBSO
7 Mean 9.389E+02 8.513E+02 8.577E+02 8.988E+02 9.100E+02 7.912E+02
STD 1.910E+02 1.493E+02 1.266E+02 1.514E+02 1.313E+02 1.367E+02
Best 6.060E−02 2.048E+00 6.230E+02 2.932E+01 2.250E+02 1.552E−01
Worst 5.915E+04 5.297E+04 1.256E+05 5.966E+04 1.359E+05 9.351E+04
Rank 6 2 3 4 5 1
8 Mean 8.538E+02 7.789E+02 9.109E+02 9.793E+02 9.552E+02 7.330E+02
STD 1.678E+02 1.646E+02 1.674E+02 2.023E+02 1.655E+02 1.527E+02
Best 6.060E−02 2.048E+00 6.230E+02 2.932E+01 2.250E+02 1.552E−01
Worst 5.915E+04 5.297E+04 1.256E+05 5.966E+04 1.359E+05 9.351E+04
Rank 3 2 4 6 5 1
9 Mean 3.614E+04 3.030E+04 3.635E+04 4.016E+04 3.904E+04 2.887E+04
STD 6.494E+03 1.476E+04 1.451E+04 1.223E+04 1.155E+04 9.101E+03
Best 6.060E−02 2.048E+00 6.230E+02 2.932E+01 2.250E+02 1.552E−01
Worst 5.915E+04 5.297E+04 1.256E+05 5.966E+04 1.359E+05 9.351E+04
Rank 3 2 4 6 5 1
10 Mean 2.349E+04 3.019E+04 2.166E+04 3.136E+04 2.467E+04 1.641E+04
STD 9.064E+03 5.276E+03 8.357E+03 4.805E+03 5.289E+03 5.769E+03
Best 6.060E−02 2.048E+00 6.230E+02 2.932E+01 2.250E+02 1.552E−01
Worst 5.915E+04 5.297E+04 1.256E+05 5.966E+04 1.359E+05 9.351E+04
Rank 3 5 2 6 4 1
11 Mean 1.622E+03 6.155E+03 4.106E+03 6.668E+03 4.737E+03 4.984E+02
STD 3.266E+03 7.188E+03 3.390E+03 7.626E+03 5.101E+03 1.800E+02
Best 6.060E−02 2.048E+00 6.230E+02 2.932E+01 2.250E+02 1.552E−01
Worst 5.915E+04 5.297E+04 1.256E+05 5.966E+04 1.359E+05 9.351E+04
Rank 2 5 3 6 4 1
12 Mean 5.514E+07 6.026E+07 6.148E+07 6.217E+07 4.700E+07 9.332E+06
STD 2.463E+07 3.261E+07 2.723E+07 2.755E+07 2.981E+07 3.408E+06
Best 6.060E−02 2.048E+00 6.230E+02 2.932E+01 2.250E+02 1.552E−01
Worst 5.915E+04 5.297E+04 1.256E+05 5.966E+04 1.359E+05 9.351E+04
Rank 3 4 5 6 2 1
13 Mean 1.119E+04 1.124E+04 1.062E+04 7.701E+03 1.501E+04 9.243E+03
STD 1.324E+04 1.351E+04 1.586E+04 9.208E+03 1.881E+04 1.123E+04
Best 6.060E−02 2.048E+00 6.230E+02 2.932E+01 2.250E+02 1.552E−01
Worst 5.915E+04 5.297E+04 1.256E+05 5.966E+04 1.359E+05 9.351E+04
Rank 4 5 3 1 6 2