Table 15 Comparisons between CO,HBA,ARO,OMA,EDO,WOA-LFDE and MDE-DPSO on CEC2014 with 30D.

From: A hybrid differential evolution particle swarm optimization algorithm based on dynamic strategies

Fun

CO

HBA

ARO

OMA

EDO

WOA-LFDE

MDE-DPSO

\(f_{b1}\)

7.1183E+05/

3.9450E+05(<)

9.9341E+07/

8.9667E+07(<)

8.6186E+05/

6.4374E+05(<)

3.8778E+06/

2.4031E+06(<)

3.5596E+05/

1.0357E+05(<)

1.5993E+05/

1.4383E+05(>)

2.1690E+05/

1.2129E+06

\(f_{b2}\)

1.4406E+04/

1.3380E+04(>)

5.8856E+07/

1.7908E+08(>)

6.7643E+02/

4.8274E+03(>)

1.5098E+04/

1.2542E+04(>)

3.0389E+09/

8.7171E+09(<)

1.1331E+03/

5.7625E+03(>)

8.3732E+07/

2.9716E+08

\(f_{b3}\)

3.9998E+03/

5.7393E+03(<)

4.7949E+03/

2.8620E+03(<)

1.9762E+01/

6.0427E+01(<)

7.0907E+03/

6.3725E+03(<)

3.3775E+03/

1.2747E+03(<)

3.7692E-02/

1.1036E-01(<)

1.6260E-03/

8.5919E-04

\(f_{b4}\)

1.2236E+01/

2.8257E+01(>)

3.4637E+02/

2.4304E+02(<)

8.8621E+01/

3.8216E+01(>)

1.4113E+02/

4.8879E+01(<)

1.7212E+02/

1.5004E+02(<)

6.1497E+01/

4.0693E+01(>)

1.2079E+02/

5.9620E+01

\(f_{a5}\)

2.0020E+01/

3.7154E-02(>)

2.0693E+01/

2.6970E-01(\(\approx\))

2.0171E+01/

9.5582E-02(>)

2.0884E+01/

7.3301E-02(<)

2.0874E+01/

8.5748E-02(<)

2.0111E+01/

1.2734E-01(>)

2.0491E+01/

4.2523E-01

\(f_{b6}\)

1.8526E+01/

2.6917E+00(<)

3.0280E+01/

3.8950E+00(<)

1.7434E+01/

3.4485E+00(<)

1.8302E+01/

3.7609E+00(<)

2.6537E+01/

2.4706E+00(<)

3.0890E+01/

4.3355E+00(<)

6.4099E+00/

1.1736E+00

\(f_{b7}\)

4.2133E-02/

5.6110E-02(<)

6.0702E-01/

2.4021E-01(<)

8.0539E-03/

1.1084E-02(>)

2.7728E-01/

1.0043E+00(<)

4.7516E+01/

5.8667E+01(<)

3.3828E-01/

1.3546E+00(<)

1.6762E-02/

1.9022E-02

\(f_{b8}\)

1.4242E+00/

1.3387E+00(>)

2.7188E+01/

2.3647E+01(\(\approx\))

2.5908E+01/

1.3992E+01(>)

9.6307E+01/

1.9352E+01(<)

1.7289E+02/

1.6284E+01(<)

8.5956E+01/

1.9643E+01(<)

2.7098E+01/

6.9436E+00

\(f_{b9}\)

1.2892E+02/

2.7005E+01(<)

1.4891E+02/

2.7613E+01(<)

1.1134E+02/

2.6208E+01(<)

1.3331E+02/

2.5150E+01(<)

2.1123E+02/

2.4428E+01(<)

2.2095E+02/

4.8640E+01(<)

4.2375E+01/

1.0535E+01

\(f_{b10}\)

1.2356E+02/

9.1654E+01(>)

2.9856E+03/

2.2025E+03(<)

3.4877E+02/

2.3075E+02(>)

5.0069E+03/

7.4590E+02(<)

5.2889E+03/

4.0745E+02(<)

1.3430E+03/

6.5046E+02(\(\approx\))

1.2939E+03/

4.7539E+02

\(f_{b11}\)

3.0315E+03/

5.8639E+02(\(\approx\))

4.9750E+03/

1.5413E+03(<)

3.2902E+03/

5.9404E+02(<)

6.2379E+03/

5.5910E+02(<)

4.5967E+03/

6.1284E+02(<)

3.8618E+03/

6.4237E+02(<)

2.9799E+03/

7.9897E+02

\(f_{b12}\)

1.9569E-01/

7.7317E-02(>)

1.8516E+00/

6.4534E-01(<)

2.4026E-01/

8.7969E-02(>)

2.3180E+00/

3.4141E-01(<)

1.8159E+00/

2.8205E-01(<)

8.9287E-01/

3.2853E-01(>)

1.5163E+00/

1.0676E+00

\(f_{b13}\)

4.2024E-01/

7.3675E-02(<)

5.8118E-01/

1.6195E-01(<)

3.8086E-01/

7.9964E-02(\(\approx\))

5.0565E-01/

1.3600E-01(<)

1.3679E+00/

1.3341E+00(<)

5.2599E-01/

1.2069E-01(<)

3.3943E-01/

9.2651E-02

\(f_{b14}\)

4.1263E-01/

1.6147E-01(<)

6.9644E-01/

1.3874E+00(<)

3.1319E-01/

1.2686E-01(<)

2.9430E-01/

9.5636E-02(<)

2.3038E+00/

6.2608E+00(<)

3.4355E-01/

1.8457E-01(<)

2.5249E-01/

5.6640E-02

\(f_{b15}\)

3.5341E+01/

1.1012E+01(<)

6.7473E+01/

1.5880E+02(<)

1.1256E+01/

4.2488E+00(<)

3.6109E+01/

1.3569E+01(<)

1.0729E+04/

3.1578E+04(<)

8.8882E+01/

6.7867E+01(<)

8.0922E+00/

3.4489E+00

\(f_{b16}\)

1.0520E+01/

6.4919E-01(>)

1.2177E+01/

7.1501E-01(<)

1.1172E+01/

7.1497E-01(<)

1.2190E+01/

3.5107E-01(<)

1.2710E+01/

3.0715E-01(<)

1.2532E+01/

5.2552E-01(<)

1.0751E+01/

8.0210E-01

\(f_{b17}\)

1.1829E+05/

9.4371E+04(<)

1.7277E+06/

3.0972E+06(<)

1.3182E+05/

9.3096E+04(<)

1.9849E+05/

1.4898E+05(<)

1.8922E+03/

2.5131E+02(>)

1.4612E+04/

1.3012E+04(>)

4.4130E+04/

1.1000E+05

\(f_{b18}\)

5.2208E+03/

5.1334E+03(<)

5.9839E+03/

7.2724E+03(<)

4.8156E+03/

6.3866E+03(<)

1.0577E+04/

1.0147E+04(<)

2.3735E+02/

3.2535E+01(>)

5.8467E+03/

7.0500E+03(<)

1.7493E+03/

2.2388E+03

\(f_{b19}\)

1.3886E+01/

1.6084E+01(>)

6.3722E+01/

4.4835E+01(<)

1.5192E+01/

1.9052E+01(\(\approx\))

2.4422E+01/

2.6894E+01(<)

1.7400E+01/

1.4803E+00(<)

1.7851E+01/

1.2824E+01(<)

1.5659E+01/

2.4166E+00

\(f_{b20}\)

4.7006E+03/

4.4825E+03(<)

1.0339E+04/

9.0435E+03(<)

7.2762E+02/

8.8812E+02(<)

9.2414E+03/

8.5710E+03(<)

1.1100E+02/

2.0322E+01(>)

2.6712E+02/

1.1182E+02(<)

1.4360E+02/

8.3042E+01

\(f_{b21}\)

1.1141E+05/

9.9042E+04(<)

3.9309E+05/

1.3649E+06(<)

5.0748E+04/

4.1116E+04(<)

7.2058E+04/

4.8532E+04(<)

1.2675E+03/

2.0906E+02(>)

9.3325E+03/

7.9796E+03(<)

5.7312E+03/

5.8267E+03

\(f_{b22}\)

5.9753E+02/

1.7920E+02(<)

8.5758E+02/

2.5406E+02(<)

5.2887E+02/

1.9278E+02(<)

5.5175E+02/

1.4718E+02(<)

2.3562E+02/

9.3137E+01(<)

6.8927E+02/

2.3147E+02(<)

4.1210E+01/

2.1793E+01

\(f_{b23}\)

3.1524E+02/

4.2923E-08(>)

3.3059E+02/

1.8524E+01(>)

2.0000E+02/

0.0000E+00(>)

3.1524E+02/

3.9292E-04(>)

3.3617E+02/

5.8197E-01(>)

3.1524E+02/

2.3288E-05(>)

3.4528E+02/

6.9694E+00

\(f_{b24}\)

2.3802E+02/

8.5737E+00(<)

2.0000E+02/

0.0000E+00(>)

2.0000E+02/

1.7900E-07(>)

2.5312E+02/

9.8195E+00(<)

2.0173E+02/

3.5462E-01(>)

2.1799E+02/

1.8452E+01(>)

2.2734E+02/

4.1181E+00

\(f_{b25}\)

2.0747E+02/

3.3898E+00(\(\approx\))

2.0118E+02/

6.9336E+00(>)

2.0000E+02/

0.0000E+00(>)

2.1251E+02/

5.7992E+00(<)

2.0474E+02/

9.9448E-01(\(\approx\))

2.2226E+02/

1.1176E+01(<)

2.0513E+02/

2.2994E+00

\(f_{b26}\)

1.0242E+02/

1.3946E+01(<)

1.3513E+02/

6.8854E+01(<)

1.0036E+02/

9.6313E-02(<)

1.2314E+02/

4.9997E+01(<)

1.0047E+02/

8.3623E-02(<)

1.2175E+02/

5.2132E+01(<)

1.0022E+02/

4.3469E-02

\(f_{b27}\)

7.9517E+02/

2.0665E+02(<)

1.2676E+03/

4.8571E+02(<)

2.1189E+02/

4.8016E+01(>)

9.4344E+02/

2.2538E+02(<)

6.9497E+02/

2.5946E+02(<)

9.9582E+02/

3.4953E+02(<)

4.8650E+02/

4.4340E+01

\(f_{b28}\)

1.2926E+03/

4.0110E+02(<)

3.3168E+03/

1.0735E+03(<)

2.4679E+02/

1.9124E+02(>)

1.7467E+03/

4.5020E+02(<)

5.0263E+02/

4.0220E+01(<)

2.4567E+03/

6.3659E+02(<)

4.1956E+02/

1.8314E+01

\(f_{b29}\)

1.6846E+06/

3.4420E+06(<)

1.8767E+08/

1.2639E+08(<)

4.3442E+06/

4.3013E+06(<)

1.5298E+07/

1.1437E+07(<)

5.9346E+06/

1.6160E+07(<)

8.7543E+06/

7.7045E+06(<)

1.6927E+03/

1.4474E+03

\(f_{b30}\)

3.1939E+03/

8.7378E+02(<)

7.2369E+05/

1.1542E+06(<)

3.4022E+03/

1.1242E+03(<)

5.1856E+04/

1.1581E+05(<)

2.5278E+03/

2.6745E+03(<)

4.6798E+03/

5.5157E+03(<)

5.7753E+02/

1.7109E+02

>/\(\approx\)/<

9/2/19

4/2/24

12/2/16

2/0/28

6/1/23

8/1/21

-/-/-

Back to article page