Research Article

Improved Adaptive Holonic Particle Swarm Optimization

Table 5

Evaluation results on eight functions (F9–F16, D = 30).

Test functionPerformanceLPSOMCPSOPS2OHSPSOCCPSO-ISMFDR-PSOFIPPSO

F9Mean1.51861E + 19.14724E + 18.93109E + 15.48581E − 50E0001.14700E + 14.37977E + 1
Std2.11233 E03.16411E + 12.78157E + 19.60707E − 50E0003.48441E01.30299E + 1
Median1.42608E + 11.02688E + 27.82676E + 14.08772E − 50E0001.4954E + 14.53087E + 1

F10Mean5.77869E + 11.04384E + 29.43819E + 14.63460E + 18.12661E − 13.29247E04.04253E + 1
Std2.51335E + 18.82423E + 17.60825E + 11.56922E + 19.1512E − 22.6840E − 11.00620E + 1
Median5.49712E + 18.06500E + 19.38245E + 14.52979E + 19.2231E − 13.14882E04.30543E + 1

F11Mean2.52855E + 12.64517E + 12.30206E + 12.88386E + 12.47033E + 12.9646E + 12.60013E + 1
Std1.19867E − 24.00292E − 28.27323E − 26.71221E − 37.56920E − 20.00326E − 25.35043E − 2
Median2.59809E + 12.61515E + 12.66347E + 12.57792E + 12.62502E + 12.37816E + 12.20501E + 1

F12Mean4.54933E + 16.47593E + 15.76266E + 14.63969E + 10E0004.45944E + 15.89902E + 1
Std1.64122E + 15.81843E01.26950E + 11.55139E + 10E0001.72914E + 11.97771E + 1
Median2.51570E + 16.39535E + 16.48912E + 14.56778E + 10E0004.08652E + 15.92656E + 1

F13Mean2.77699E + 21.03733E21.24333E + 21.95113E + 21.32693E + 25.97127E + 11.69809E + 2
Std2.56696E + 13.96304E + 13.59524E + 12.09328E + 17.97868E01.32038E + 12.86377E0
Median2.82621E + 21.17977E21.09972E + 21.60887E + 21.15773E + 25.86959E + 11.85220E + 2

F14Mean2.84475E + 12.76923E + 13.21626E + 12.09334E + 12.59571E + 12.26436E + 13.56754E + 1
Std3.08439E03.90532E06.36128E02.52636E02.11251E04.14451E01.20684E0
Median21.93042E + 12.73032E + 13.17851E + 12.17317E + 12.68011E + 11.13267E + 13.00738E + 1

F15Mean8.79677E01.25428E + 12.38048E + 18.78020E07.60963E09.25348E05.95142E + 1
Std6.38876E09.88228E07.10735E03.24385E03.79567E06.44398E01.96684E + 1
Median8.23932E08.94184E02.77004E07.13170E06.39411E09.71773E05.82241E + 1

F16Mean1.69691E01.10219E + 11.22394E + 11.34479E01.89622E + 11.50032E + 11.70448E + 1
Std1.451662E07.17067E − 12.77381E − 11.71356E02.1180E − 12.69315E − 10.18570E − 1
Median1.325485E01.02227E + 11.25632E + 11.85263E + 11.73979E + 11.77383E + 11.09972E + 1