Table 14 Comparisons between CO,HBA,ARO,OMA,EDO,WOA-LFDE and MDE-DPSO on CEC2014 with 10D.
From: A hybrid differential evolution particle swarm optimization algorithm based on dynamic strategies
Fun | CO | HBA | ARO | OMA | EDO | WOA-LFDE | MDE-DPSO |
|---|---|---|---|---|---|---|---|
\(f_{b1}\) | 8.9306E+04/ 1.0890E+05(<) | 8.9683E+06/ 2.4004E+07(<) | 4.3600E+03/ 1.1324E+04(>) | 3.6279E+04/ 2.5929E+04(<) | 5.9550E-01/ 5.1981E-01(>) | 2.4356E+02/ 6.7440E+02(>) | 2.0318E+04/ 8.7860E+04 |
\(f_{b2}\) | 6.8045E+03/ 4.5128E+03(<) | 3.9980E+03/ 4.0197E+03(<) | 9.8099E-02/ 6.1525E-01(>) | 2.8566E+03/ 3.0687E+03(>) | 2.5027E+01/ 1.8816E+01(>) | 1.3690E-01/ 5.6870E-01(>) | 3.2883E+03/ 4.7437E+03 |
\(f_{b3}\) | 4.1196E+03/ 4.7941E+03(<) | 2.3820E+02/ 3.9030E+02(<) | 1.1293E+00/ 5.3933E+00(<) | 5.0047E+03/ 2.8825E+03(<) | 7.0281E-04/ 4.8433E-04(<) | 7.7073E-01/ 2.5786E+00(<) | 9.6731E-05/ 1.1102E-04 |
\(f_{b4}\) | 1.7843E+01/ 1.6837E+01(<) | 2.4105E+01/ 2.7508E+01(<) | 2.1916E+01/ 1.7569E+01(<) | 2.0540E+01/ 1.6573E+01(<) | 5.2975E-01/ 4.6689E-01(<) | 2.1062E+01/ 1.6612E+01(<) | 6.6276E-05/ 1.1339E-04 |
\(f_{a5}\) | 2.0002E+01/ 7.1616E-03(<) | 2.0173E+01/ 2.4169E-01(<) | 2.0027E+01/ 2.2685E-02(<) | 2.0328E+01/ 9.7538E-02(<) | 2.0204E+01/ 3.4224E-01(<) | 2.0039E+01/ 6.9117E-02(<) | 1.9735E+01/ 2.8217E+00 |
\(f_{b6}\) | 3.1879E+00/ 1.5142E+00(<) | 6.3972E+00/ 2.1240E+00(<) | 2.5849E+00/ 1.9012E+00(<) | 1.3658E+00/ 1.2552E+00(<) | 3.7152E+00/ 6.1227E-01(<) | 6.8686E+00/ 1.6305E+00(<) | 1.0156E-03/ 4.5154E-03 |
\(f_{b7}\) | 3.2609E-01/ 1.8388E-01(<) | 7.8045E-01/ 4.5081E-01(<) | 9.1246E-02/ 4.9483E-02(<) | 9.0779E-02/ 5.7699E-02(<) | 2.5747E-01/ 5.9353E-02(<) | 7.3473E-01/ 6.3657E-01(<) | 2.2069E-02/ 2.0949E-02 |
\(f_{b8}\) | 1.9509E-02/ 1.3932E-01(>) | 4.9420E+00/ 7.5160E+00(<) | 1.8534E+00/ 2.3547E+00(>) | 1.2833E+01/ 3.6574E+00(<) | 1.8067E+01/ 4.9907E+00(<) | 2.0309E+01/ 7.9002E+00(<) | 3.1800E+00/ 1.5157E+00 |
\(f_{b9}\) | 1.5685E+01/ 5.7323E+00(<) | 2.6837E+01/ 1.1348E+01(<) | 1.3584E+01/ 5.2941E+00(<) | 1.8995E+01/ 4.7938E+00(<) | 1.8734E+01/ 4.2421E+00(<) | 3.6367E+01/ 1.3351E+01(<) | 7.1793E+00/ 2.5117E+00 |
\(f_{b10}\) | 1.0114E+01/ 1.8484E+01(>) | 6.7336E+02/ 5.5523E+02(<) | 4.7798E+01/ 7.1609E+01(>) | 4.4111E+02/ 2.1509E+02(<) | 6.7740E+02/ 1.1636E+02(<) | 2.5959E+02/ 2.2273E+02(<) | 5.4614E+01/ 6.2080E+01 |
\(f_{b11}\) | 4.9981E+02/ 2.1187E+02(<) | 9.0285E+02/ 4.1383E+02(<) | 5.4084E+02/ 1.9985E+02(<) | 9.1443E+02/ 2.3876E+02(<) | 1.0782E+03/ 1.8616E+02(<) | 9.7908E+02/ 3.0682E+02(<) | 3.5644E+02/ 2.3367E+02 |
\(f_{b12}\) | 1.0476E-01/ 6.9829E-02(>) | 7.8285E-01/ 3.8391E-01(<) | 1.8500E-01/ 1.0747E-01(>) | 6.9773E-01/ 2.9796E-01(<) | 5.9615E-01/ 2.1764E-01(<) | 3.8446E-01/ 2.4146E-01(>) | 5.4054E-01/ 2.4343E-01 |
\(f_{b13}\) | 2.5499E-01/ 1.0081E-01(<) | 4.7305E-01/ 2.2354E-01(<) | 1.3039E-01/ 5.4752E-02(<) | 3.9762E-01/ 1.8449E-01(<) | 2.8336E-01/ 4.7189E-02(<) | 4.7787E-01/ 2.0375E-01(<) | 6.0207E-02/ 2.5989E-02 |
\(f_{b14}\) | 2.2167E-01/ 7.1453E-02(<) | 5.4974E-01/ 3.1458E-01(<) | 2.4291E-01/ 6.6481E-02(<) | 4.7755E-01/ 2.8966E-01(<) | 1.6744E-01/ 4.1995E-02(<) | 3.4749E-01/ 2.4325E-01(<) | 8.0807E-02/ 3.3673E-02 |
\(f_{b15}\) | 3.2642E+00/ 1.7404E+00(<) | 4.1742E+00/ 3.1669E+00(<) | 8.9053E-01/ 4.0529E-01(<) | 2.9343E+00/ 9.7052E-01(<) | 2.3397E+00/ 5.2603E-01(<) | 4.7190E+00/ 2.5849E+00(<) | 7.3201E-01/ 2.6844E-01 |
\(f_{b16}\) | 2.4870E+00/ 4.3558E-01(<) | 3.1028E+00/ 4.0532E-01(<) | 2.5229E+00/ 4.8577E-01(<) | 2.9393E+00/ 2.6021E-01(<) | 3.3987E+00/ 1.9943E-01(<) | 3.1177E+00/ 4.6884E-01(<) | 1.8274E+00/ 4.7649E-01 |
\(f_{b17}\) | 2.2930E+04/ 4.0134E+04(<) | 4.2537E+03/ 1.1544E+04(<) | 1.0911E+03/ 2.7403E+03(<) | 4.3196E+03/ 2.9234E+03(<) | 8.3385E+01/ 2.0067E+01(<)) | 5.2742E+02/ 2.3173E+02(<) | 3.8799E+01/ 7.3932E+01 |
\(f_{b18}\) | 1.2331E+04/ 1.1486E+04(<) | 7.8146E+02/ 5.2299E+03(<) | 1.9039E+01/ 9.0343E+01(<) | 8.1652E+03/ 1.0164E+04(<) | 7.1361E+00/ 1.7973E+00(>) | 8.9058E+01/ 1.3211E+02(<) | 1.0029E+01/ 1.1627E+01 |
\(f_{b19}\) | 1.1275E+00/ 6.8924E-01(<) | 4.7386E+00/ 2.5924E+00(<) | 9.8679E-01/ 5.3285E-01(<) | 4.2119E+00/ 1.1720E+00(<) | 1.8928E+00/ 1.3973E-01(<) | 3.3871E+00/ 1.3730E+00(<) | 5.8051E-01/ 5.4955E-01 |
\(f_{b20}\) | 7.8098E+03/ 9.3785E+03(<) | 1.0005E+03/ 1.8774E+03(<) | 2.0786E+00/ 1.3727E+00(>) | 8.7952E+02/ 3.1421E+03(<) | 4.7588E+00/ 1.2145E+00(<) | 4.7735E+01/ 3.4245E+01(<) | 4.0362E+00/ 7.0285E+00 |
\(f_{b21}\) | 4.5800E+03/ 5.5033E+03(<) | 9.4897E+02/ 4.2255E+03(<) | 1.0899E+02/ 2.9154E+02(<) | 3.3456E+02/ 1.6671E+02(<) | 2.9393E+00/ 1.4910E+00(>) | 3.2593E+02/ 2.3127E+02(<) | 5.5189E+01/ 9.2178E+01 |
\(f_{b22}\) | 4.9485E+01/ 5.9253E+01(<) | 7.5451E+01/ 5.9748E+01(<) | 1.7364E+01/ 2.5720E+01(>) | 3.7797E+01/ 2.9693E+01(<) | 2.7565E+01/ 3.9171E+00(<) | 8.5685E+01/ 6.5552E+01(<) | 2.2749E+01/ 3.3183E+01 |
\(f_{b23}\) | 3.2692E+02/ 1.8128E+01(>) | 2.5349E+02/ 6.4587E+01(>) | 2.0000E+02/ 0.0000E+00(>) | 3.2946E+02/ 1.8342E-07(>) | 3.1634E+02/ 5.3741E+01(>) | 3.2946E+02/ 2.6202E-10(>) | 3.6951E+02/ 3.4077E+01 |
\(f_{b24}\) | 1.3180E+02/ 9.7353E+00(<) | 1.4736E+02/ 2.2568E+01(<) | 1.2957E+02/ 1.7497E+01(<) | 1.4173E+02/ 2.7329E+01(<) | 1.2344E+02/ 3.9789E+00(<) | 1.7456E+02/ 2.9338E+01(<) | 1.1328E+02/ 1.2845E+01 |
\(f_{b25}\) | 1.7176E+02/ 3.1731E+01(>) | 1.8764E+02/ 1.6795E+01(>) | 1.8333E+02/ 2.3288E+01(>) | 1.8576E+02/ 2.8652E+01(>) | 1.8769E+02/ 1.9626E+01(>) | 1.9825E+02/ 1.1585E+01(<) | 1.9240E+02/ 1.9929E+01 |
\(f_{b26}\) | 1.0223E+02/ 1.3967E+01(<) | 1.0041E+02/ 1.8783E-01(<) | 1.0013E+02/ 5.4351E-02(<) | 1.0047E+02/ 1.3972E-01(<) | 1.0027E+02/ 4.0426E-02(<) | 1.0032E+02/ 1.6765E-01(<) | 1.0006E+02/ 1.9513E-02 |
\(f_{b27}\) | 3.5551E+02/ 1.4645E+02(<) | 3.4736E+02/ 1.9412E+02(<) | 1.6059E+02/ 8.5771E+01(>) | 3.2077E+02/ 1.2813E+02(\(\approx\)) | 3.9224E+02/ 5.5403E+01(<) | 4.3000E+02/ 7.5669E+01(<) | 3.1336E+02/ 1.0262E+02 |
\(f_{b28}\) | 4.6450E+02/ 9.5824E+01(<) | 7.1663E+02/ 2.7045E+02(<) | 2.1382E+02/ 4.7847E+01(>) | 4.6918E+02/ 7.4025E+01(<) | 3.3711E+02/ 1.3646E+00(<) | 5.6610E+02/ 1.3389E+02(<) | 3.2320E+02/ 1.6091E+01 |
\(f_{b29}\) | 1.6961E+05/ 5.1775E+05(<) | 3.9285E+06/ 7.2577E+06(<) | 6.7983E+04/ 3.3800E+05(<) | 2.2292E+05/ 6.1670E+05(<) | 2.1065E+02/ 1.0454E+01(\(\approx\)) | 2.1206E+05/ 6.9152E+05(<) | 2.0870E+02/ 2.6388E+01 |
\(f_{b30}\) | 8.8924E+02/ 2.9011E+02(<) | 1.0511E+04/ 3.9930E+04(<) | 6.0239E+02/ 1.8045E+02(<) | 6.7656E+02/ 2.0753E+02(<) | 3.1980E+02/ 2.4469E+01(<) | 1.1759E+03/ 4.4910E+02(<) | 2.6501E+02/ 5.9030E+01 |
>/\(\approx\)/< | 5/0/25 | 2/0/28 | 11/0/19 | 3/1/26 | 6/1/23 | 4/0/26 | -/-/- |
