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. 2021 May 29;25(14):9077–9096. doi: 10.1007/s00500-021-05853-8

Table 7.

CEC2017 composite functions tested with n=2 by using only 10 iterations (only for the PSS, PFA, WOA, and PSO and equivalent evaluations for the MPSFHS) for fc,1fc,8 – reported the error values here (fc,i(xi)-fc,i(xopt))

Algorithm fc,1 fc,2 fc,3 fc,4 fc,5 fc,6 fc,7 fc,8
PSS Min 2.4285E−02 6.5834E−02 6.0717E−02 7.2868E+00 2.8464E−01 6.2283E−02 6.4629E−01 5.5129E+00
Max 1.0018E+02 1.1226E+02 3.0392E+02 2.0635E+02 2.1118E+02 2.0057E+02 1.8914E+02 2.1992E+02
Median 4.1376E+00 1.2610E+01 7.0064E+01 1.0059E+02 1.0614E+02 1.7070E+00 2.6410E+00 1.0117E+02
Mean 1.9017E+01 2.5048E+01 9.4231E+01 1.0793E+02 1.1002E+02 2.7532E+01 2.7133E+01 1.0510E+02
Std 3.1468E+01 3.3741E+01 1.1463E+02 5.5402E+01 6.1274E+01 5.2681E+01 5.0566E+01 7.5755E+01
PFA Min 5.1962E−02 2.0261E−02 7.8146E−01 2.1461E+01 6.7842E+00 8.8438E−02 1.3907E+00 1.2169E+01
Max 1.0021E+02 1.0230E+02 3.0303E+02 2.0244E+02 3.0168E+02 2.0858E+02 4.0021E+02 3.5366E+02
Median 4.0589E−01 8.0329E-01 9.6471E+00 1.0142E+02 1.0713E+02 1.9240E+00 3.6875E+00 1.1203E+02
Mean 4.2739E+00 9.5696E+00 9.5648E+01 1.0874E+02 1.1802E+02 9.1956E+00 1.7240E+01 1.3732E+02
Std 1.8221E+01 2.5488E+01 1.3689E+02 3.7036E+01 8.2871E+01 3.7697E+01 7.2359E+01 7.4851E+01
WOA Min 3.9120E−02 4.6032E−02 3.8543E−01 1.4056E+01 3.4195E+00 3.7880E−01 2.4574E+00 3.2645E+01
Max 1.1761E+02 2.3130E+01 3.0207E+02 2.1358E+02 3.0999E+02 2.0312E+02 1.8917E+02 3.0409E+02
Median 6.1233E−01 1.0885E+01 5.3677E+00 1.0070E+02 1.1937E+02 5.3988E+00 2.4332E+01 1.6472E+02
Mean 4.9854E+00 8.9399E+00 1.0609E+02 1.0771E+02 1.3170E+02 2.2009E+01 4.8168E+01 1.6502E+02
Std 2.1319E+01 5.9659E+00 1.2264E+02 3.3913E+01 9.4636E+01 4.6116E+01 5.4586E+01 6.5213E+01
MPSFHS Min 1.3582E+00 3.0120E−01 8.8972E+00 9.2268E+01 3.1234E+01 1.6434E−01 3.5703E+00 5.2473E+01
Max 6.0320E+01 1.1324E+02 3.0430E+02 2.0983E+02 3.1993E+02 1.4941E+02 7.8858E+01 3.0867E+02
Median 1.9290E+01 2.4465E+01 7.5047E+01 1.3201E+02 2.0406E+02 4.1046E+01 2.8917E+01 1.4537E+02
Mean 2.1165E+01 3.0313E+01 1.0591E+02 1.4425E+02 1.8885E+02 4.8282E+01 3.3665E+01 1.5904E+02
Std 1.7733E+01 2.3374E+01 8.9850E+01 3.8189E+01 7.9865E+01 3.5734E+01 1.9670E+01 5.5776E+01
PSO Min 3.0762E−01 6.8406E−01 2.4319E+00 7.1158E+01 1.1524E+01 2.9869E+00 5.9283E+00 4.4153E+01
Max 1.0109E+02 1.7330E+01 3.0334E+02 1.6073E+02 2.8149E+02 2.2489E+02 4.0218E+02 2.1841E+02
Median 5.8090E+00 7.5109E+00 2.6452E+01 1.1033E+02 1.4209E+02 2.0422E+01 2.1516E+01 1.2396E+02
Mean 9.4914E+00 8.2878E+00 1.1008E+02 1.1224E+02 1.4144E+02 2.7641E+01 3.4890E+01 1.3874E+02
Std 1.7832E+01 4.8397E+00 1.3079E+02 1.5796E+01 7.7616E+01 3.8640E+01 7.0202E+01 4.8416E+01