Table 8 Comparisons between MPSO, PSO-sono, EAPSO, PSO-HBF, ACEPSO, and MDE-DPSO on CEC2017 with 10D.
From: A hybrid differential evolution particle swarm optimization algorithm based on dynamic strategies
Fun | MPSO | PSO-sono | EAPSO | PSO-HBF | ACEPSO | MDE-DPSO |
|---|---|---|---|---|---|---|
\(f_{c1}\) | 2.0353E+03/ 2.0775E+03(<) | 4.2522E+02/ 5.8611E+02(>) | 6.5359E+02/ 6.1081E+02(>) | 4.3540E-01/ 2.8205E+00(>) | 9.9277E+02/ 5.6398E+02(>) | 1.5401E+03/ 2.1021E+03 |
\(f_{c2}\) | 2.2306E-01/ 3.5765E-01(>) | 2.3338E-05/ 3.0861E-05(>) | 1.7570E-05/ 4.0189E-05(>) | 6.3941E-06/ 1.1790E-05(>) | 4.4515E+03/ 3.1777E+04(<) | 2.2490E+00/ 1.6061E+01 |
\(f_{c3}\) | 9.5882E-02/ 1.1020E-01(<) | 0/0(>) | 2.2292E-15/ 1.1144E-14(>) | 1.8282E-11/ 2.5068E-11(>) | 3.5207E-04/ 2.4545E-03(<) | 1.4076E-05/ 1.3166E-05 |
\(f_{c4}\) | 5.1992E+00/ 3.7500E-01(<) | 3.5761E-08/ 2.5303E-07(>) | 3.0347E+01/ 1.1255E+01(<) | 1.6353E+01/ 1.8093E+01(<) | 3.4109E+01/ 4.7933E+00(<) | 3.8748E-05/ 9.0588E-05 |
\(f_{c5}\) | 1.4915E+01/ 6.5174E+00(<) | 5.7552E+00/ 2.7016E+00(>) | 8.2913E+00/ 3.3039E+00(\(\approx\)) | 4.4065E+01/ 1.4342E+01(<) | 7.0035E+00/ 3.2619E+00(\(\approx\)) | 7.0942E+00/ 2.7090E+00 |
\(f_{c6}\) | 1.3233E-01/ 1.9951E-01(<) | 6.5355E-03/ 2.2676E-02(<) | 2.4311E-06/ 7.1337E-06(\(\approx\)) | 7.8235E+00/ 9.2790E+00(<) | 2.3688E-04/ 5.9317E-04(<) | 2.2031E-06/ 9.5005E-06 |
\(f_{c7}\) | 1.6877E+01/ 3.8956E+00(\(\approx\)) | 1.7623E+01/ 3.4573E+00(\(\approx\)) | 1.8513E+01/ 3.7387E+00(\(\approx\)) | 4.3054E+01/ 1.4801E+01(<) | 6.8169E+00/ 4.3569E+00(>) | 1.7209E+01/ 3.3640E+00 |
\(f_{c8}\) | 6.1026E+00/ 4.6073E+00(\(\approx\)) | 8.1352E+00/ 4.0864E+00(<) | 9.5500E+00/ 4.4141E+00(<) | 4.2676E+01/ 1.6879E+01(<) | 7.5954E+00/ 3.4088E+00(<) | 6.4380E+00/ 2.8026E+00 |
\(f_{c9}\) | 1.3957E-07/ 2.1024E-07(>) | 1.2419E-02/ 7.6932E-02(\(\approx\)) | 3.7258E-02/ 1.0923E-01(<) | 5.8895E+02/ 4.2144E+02(<) | 4.4502E-02/ 1.3008E-01(<) | 1.2421E-02/ 6.5509E-02 |
\(f_{c10}\) | 4.7188E+02/ 2.9490E+02(<) | 3.9156E+02/ 1.9400E+02(<) | 4.7214E+02/ 4.3098E+02(<) | 8.4889E+02/ 2.9696E+02(<) | 4.3626E+02/ 2.2741E+02(<) | 2.7045E+02/ 2.2050E+02 |
\(f_{c11}\) | 4.0251E+00/ 1.2747E+00(<) | 1.6581E+01/ 1.0980E+01(<) | 2.8093E+00/ 1.9263E+00(\(\approx\)) | 1.2700E+01/ 7.9503E+00(<) | 7.7752E+00/ 4.4258E+00(<) | 2.6557E+00/ 2.6252E+00 |
\(f_{c12}\) | 9.9052E+03/ 8.6779E+03(<) | 7.6444E+03/ 1.0234E+04(<) | 1.6044E+04/ 1.3651E+04(<) | 8.2229E+03 7.7422E+03(<) | 6.7766E+04/ 1.5918E+04(<) | 1.0126E+03/ 1.6686E+03 |
\(f_{c13}\) | 3.4892E+02/ 4.4358E+02(<) | 1.2400E+02/ 1.2623E+02(<) | 2.4015E+03/ 1.9096E+03(<) | 2.3244E+02/ 4.6216E+02(<) | 4.7382E+03/ 2.5901E+03(<) | 7.5676E+00/ 6.5156E+00 |
\(f_{c14}\) | 3.9275E+01/ 1.3685E+01(<) | 4.6829E+01/ 1.9448E+01(<) | 1.7403E+02/ 2.8864E+02(<) | 8.7920E+02/ 1.5051E+03(<) | 2.0715E+02/ 6.3607E+02(<) | 5.4573E+00/ 8.1584E+00 |
\(f_{c15}\) | 5.0680E+01/ 3.9282E+01(<) | 4.1517E+01/ 2.8477E+01(<) | 1.8660E+02/ 4.6824E+02(<) | 4.0130E+02/ 8.5421E+02(<) | 3.6212E+02/ 8.8266E+02(<) | 4.1197E+00/ 4.7850E+00 |
\(f_{c16}\) | 1.4243E+01/ 2.7428E+01(<) | 7.5538E+00/ 2.3235E+01(<) | 6.4092E+01/ 6.7141E+01(<) | 2.1547E+02/ 1.2505E+02(<) | 6.6518E+00/ 8.5029E+00(\(\approx\)) | 6.8667E+00/ 2.3535E+01 |
\(f_{c17}\) | 3.6773E+01/ 1.2659E+01(<) | 2.9617E+01/ 1.0748E+01(<) | 4.9184E+01/ 4.0795E+01(<) | 7.3574E+01/ 3.9956E+01(<) | 6.8044E+01/ 5.0251E+01(<) | 4.3596E+00/ 6.9528E+00 |
\(f_{c18}\) | 2.3350E+02/ 1.7065E+02(<) | 5.4165E+01/ 4.1533E+01(<) | 1.7229E+03/ 2.3586E+03(<) | 5.0967E+03/ 4.0262E+03(<) | 8.9814E+03/ 4.6366E+03(<) | 1.5654E+01/ 1.7759E+01 |
\(f_{c19}\) | 3.0154E+01/ 3.1708E+01(<) | 1.8217E+01/ 1.1790E+01(<) | 7.4760E+02/ 1.0615E+03(<) | 7.1374E+00/ 4.6081E+00(<) | 1.2410E+02/ 2.0907E+02(<) | 7.1897E-01/ 1.1225E+00 |
\(f_{c20}\) | 1.2895E+01/ 1.3788E+01(<) | 2.3542E+01/ 1.1815E+01(<) | 3.3446E+01/ 1.1815E+01(<) | 1.2050E+02/ 6.5954E+01(<) | 4.6418E+01/ 1.9920E+01(<) | 4.2433E+00/ 7.9524E+00 |
\(f_{c21}\) | 1.9159E+02/ 4.2859E+01(<) | 1.8400E+02/ 4.6745E+01(<) | 1.4823E+02/ 5.5743E+01(>) | 1.8258E+02/ 7.8422E+01(<) | 1.5841E+02/ 5.5677E+01(>) | 1.6395E+02/ 5.4095E+01 |
\(f_{c22}\) | 9.7410E+01/ 1.7544E+01(>) | 1.0010E+02/ 1.9636E-01(>) | 1.3447E+02/ 4.1969E+01(<) | 9.8526E+01/ 1.0528E+01(>) | 1.4715E+02/ 2.0338E+01(>) | 1.0043E+02/ 4.7233E-01 |
\(f_{c23}\) | 3.1037E+02/ 4.4542E+00(\(\approx\)) | 3.0784E+02/ 3.7321E+00(\(\approx\)) | 3.4421E+02/ 6.2186E+01(<) | 4.9864E+02/ 1.3093E+02(<) | 3.7539E+02/ 4.3051E+00(<) | 3.0865E+02/ 2.5211E+00 |
\(f_{c24}\) | 3.3262E+02/ 4.7708E+01(<) | 3.2216E+02/ 5.6235E+01(<) | 3.5318E+02/ 1.1262E+02(<) | 2.2638E+02/ 8.6909E+01(>) | 4.1116E+02/ 7.0114E-01(<) | 2.6812E+02/ 1.0963E+02 |
\(f_{c25}\) | 4.3419E+02/ 1.9972E+01(<) | 4.3190E+02/ 2.2501E+01(<) | 4.2788E+02/ 2.2960E+01(\(\approx\)) | 4.3945E+02/ 4.1807E+01(<) | 4.6817E+02/ 4.4063E+01(<) | 4.2447E+02/ 2.2919E+01 |
\(f_{c26}\) | 3.1038E+02/ 1.3699E+02(<) | 3.3826E+02/ 1.8792E+02(<) | 4.3480E+02/ 2.0108E+02(<) | 4.2651E+02/ 3.6803E+02(<) | 6.2017E+02/ 1.9779E+02(<) | 3.0063E+02/ 3.7520E+01 |
\(f_{c27}\) | 3.9222E+02/ 3.1666E+00(<) | 3.8365E+02/ 1.1147E+01(<) | 4.6740E+02/ 4.8740E+01(<) | 7.0814E+02/ 1.9069E+02(<) | 4.4910E+02/ 1.4504E+01(<) | 3.7484E+02/ 2.8905E+00 |
\(f_{c28}\) | 5.3609E+02/ 1.2550E+02(<) | 4.6971E+02/ 1.3747E+02(<) | 3.2592E+02/ 2.4677E+01(>) | 3.3511E+02/ 4.1271E+01(>) | 3.5328E+02/ 3.1047E+01(>) | 4.3019E+02/ 8.2246E+01 |
\(f_{c29}\) | 2.6497E+02/ 1.9559E+01(<) | 2.6601E+02/ 1.8846E+01(<) | 2.6536E+02/ 2.8569E+01(<) | 3.5573E+02/ 7.4496E+01(<) | 2.6475E+02/ 2.6654E+01(<) | 2.2462E+02/ 5.7578E+00 |
\(f_{c30}\) | 2.5958E+05/ 4.3557E+05(<) | 2.3547E+05/ 5.4187E+05(<) | 2.5267E+03/ 1.5545E+03(<) | 4.1117E+03/ 6.8383E+03(<) | 9.4491E+03/ 1.7827E+03(<) | 3.0650E+02/ 1.2414E+02 |
>/\(\approx\)/< | 3/3/24 | 6/3/21 | 5/5/20 | 6/0/24 | 5/2/23 | -/-/- |
