Table 10 Comparisons between MPSO, PSO-sono, EAPSO, PSO-HBF, ACEPSO and MDE-DPSO on CEC2017 with 50D.
From: A hybrid differential evolution particle swarm optimization algorithm based on dynamic strategies
Fun | MPSO | PSO-sono | EAPSO | PSO-HBF | ACEPSO | MDE-DPSO |
|---|---|---|---|---|---|---|
\(f_{c1}\) | 4.0333E+03/ 3.1667E+03(<) | 3.9145E+03/ 4.8515E+03(<) | 5.4173E+03/ 8.7761E+03(<) | 4.4083E+03/ 5.4268E+03(<) | 3.7116E+04/ 2.2779E+04(<) | 2.9762E+03/ 3.2111E+03 |
\(f_{c2}\) | 8.6485E+34/ 6.1757E+35(>) | 3.5988E+41/ 2.5697E+42(>) | 2.8449E-05/ 3.7141E-05(>) | 2.4252E-05/ 2.7745E-05(>) | 3.0066E+38/ 7.4712E+38(>) | 2.5096E+46/ 1.7921E+47 |
\(f_{c3}\) | 5.1583E+03/ 2.1951E+03(<) | 3.1095E+02/ 6.8970E+02(<) | 1.1110E+03/ 2.6012E+03(<) | 1.3418E+02/ 2.3714E+02(<) | 1.0197E+02/ 4.8811E+01(<) | 4.4836E-04/ 1.8612E-04 |
\(f_{c4}\) | 1.4439E+02/ 4.2661E+01(>) | 2.1687E+02/ 5.7641E+01(<) | 4.8199E+01/ 3.8925E+01(>) | 4.6433E+01/ 4.3886E+01(>) | 9.9422E+01/ 5.1766E+00(>) | 1.7402E+02/ 1.6291E+02 |
\(f_{c5}\) | 9.5324E+01/ 1.9229E+01(<) | 6.5141E+01/ 1.7154E+01(>) | 1.0778E+02/ 1.9809E+01(<) | 4.0514E+02/ 5.2742E+01(<) | 8.0083E+01/ 2.1950E+01(>) | 8.5773E+01/ 1.8897E+01 |
\(f_{c6}\) | 1.1151E+01/ 4.4532E+00(<) | 4.6056E-01/ 9.9151E-01(>) | 7.7066E+00/ 8.5432E+00(<) | 7.5731E+00/ 3.1029E+00(<) | 4.3413E-01/ 3.4785E-01(>) | 3.4715E+00/ 1.7024E+00 |
\(f_{c7}\) | 1.3691E+02/ 2.3816E+01(>) | 1.1562E+02/ 1.9883E+01(>) | 1.6807E+02/ 2.8409E+01(<) | 5.8893E+02/ 1.0673E+02(<) | 8.4569E+01/ 9.7996E+00(>) | 1.5803E+02/ 2.5610E+01 |
\(f_{c8}\) | 9.2341E+01/ 2.5000E+01(<) | 6.9298E+01/ 1.7587E+01(>) | 1.0599E+02/ 2.5237E+01(<) | 4.3513E+02/ 7.3082E+01(<) | 9.1193E+01/ 2.0809E+01(<) | 8.2052E+01/ 1.4769E+01 |
\(f_{c9}\) | 2.1109E+02/ 2.7232E+02(<) | 2.5039E+01/ 1.0084E+02(>) | 5.8596E+02/ 5.6860E+02(<) | 1.7726E+04/ 4.2065E+03(<) | 3.8406E+01/ 2.1450E+02(>) | 1.4470E+02/ 8.6211E+01 |
\(f_{c10}\) | 5.5982E+03/ 7.0912E+02(>) | 5.6825E+03/ 1.0051E+03(<) | 1.0789E+04/ 4.3803E+03(<) | 6.3968E+03/ 7.3531E+02(<) | 7.5808E+03/ 8.6913E+02(<) | 5.6669E+03/ 9.7150E+02 |
\(f_{c11}\) | 1.4619E+02/ 4.8645E+01(>) | 2.3609E+02/ 5.2625E+01(>) | 1.2685E+02/ 5.8978E+01(>) | 2.4320E+02/ 5.4228E+01(>) | 4.1474E+02/ 1.1895E+02(<) | 3.8870E+02/ 2.4889E+02 |
\(f_{c12}\) | 1.7738E+06/ 1.1652E+06(<) | 1.3835E+06/ 2.7421E+06(<) | 2.9130E+03/ 6.3650E+02(>) | 3.5373E+03/ 6.9988E+02(>) | 2.0595E+06/ 1.9752E+06(<) | 1.2365E+06/ 2.6646E+06 |
\(f_{c13}\) | 4.8509E+03/ 5.6180E+03(>) | 4.7732E+03/ 4.9665E+03(>) | 2.6391E+04/ 2.4065E+04(>) | 1.6963E+04/ 1.1270E+04(>) | 3.6329E+04/ 4.3048E+04(>) | 5.8383E+04/ 2.7852E+04 |
\(f_{c14}\) | 1.2435E+04/ 1.3146E+04(<) | 1.7328E+04/ 3.4850E+04(<) | 1.0025E+02/ 3.9816E+01(>) | 2.1614E+02/ 4.0272E+01(>) | 4.1833E+04/ 3.2347E+04(<) | 8.0662E+03/ 1.4231E+04 |
\(f_{c15}\) | 6.4743E+03/ 5.3727E+03(>) | 4.1804E+03/ 4.0567E+03(>) | 2.1937E+03/ 1.9278E+03(>) | 3.8539E+02/ 7.7931E+02(>) | 2.0834E+03/ 1.4799E+03(>) | 1.4450E+04/ 1.1786E+04 |
\(f_{c16}\) | 1.2239E+03/ 4.1842E+02(<) | 1.3901E+03/ 4.1714E+02(<) | 9.4309E+02/ 3.6683E+02(<) | 1.7141E+03/ 4.1991E+02(<) | 1.1771E+03/ 4.4679E+02(<) | 9.3695E+02/ 3.7859E+02 |
\(f_{c17}\) | 9.3866E+02/ 2.6505E+02(<) | 1.1041E+03/ 2.7707E+02(<) | 6.2553E+02/ 2.5969E+02(>) | 1.2670E+03/ 3.1646E+02(<) | 8.7175E+02/ 3.0920E+02(<) | 6.9179E+02/ 2.5470E+02 |
\(f_{c18}\) | 1.7199E+05/ 9.1086E+04(<) | 4.4018E+05/ 5.7477E+05(<) | 7.3901E+04/ 4.3718E+04(>) | 1.4715E+05/ 1.0162E+05(<) | 8.2586E+05/ 8.2906E+05(<) | 8.9661E+04/ 9.6831E+04 |
\(f_{c19}\) | 1.6084E+04/ 9.0951E+03(<) | 1.5048E+04/ 1.0431E+04(>) | 1.1541E+04/ 1.4401E+04(>) | 6.5500E+03/ 8.0231E+03(>) | 2.4048E+05/ 1.4158E+06(<) | 1.5116E+04/ 7.7194E+03 |
\(f_{c20}\) | 5.5500E+02/ 2.4551E+02(<) | 6.3301E+02/ 2.6340E+02(<) | 6.1378E+02/ 5.1668E+02(<) | 1.2150E+03/ 3.0438E+02(<) | 7.5607E+02/ 4.7419E+02(<) | 3.9832E+02/ 2.1386E+02 |
\(f_{c21}\) | 2.7733E+02/ 2.3435E+01(>) | 2.7503E+02/ 1.4681E+01(>) | 3.4622E+02/ 3.8561E+01 | 6.0092E+02/ 7.2111E+01(<) | 3.0166E+02/ 3.4600E+01(<) | 2.9142E+02/ 2.0456E+01 |
\(f_{c22}\) | 3.8512E+03/ 2.8464E+03(>) | 5.5845E+03/ 1.8326E+03(<) | 6.2510E+03/ 7.5585E+02 | 7.4066E+03/ 7.5725E+02(<) | 4.3233E+03/ 2.8317E+03(>) | 4.3841E+03/ 3.0136E+03 |
\(f_{c23}\) | 5.3979E+02/ 4.0588E+01(<) | 5.2266E+02/ 2.7894E+01(>) | 8.1818E+02/ 3.7252E+01(<) | 2.9726E+03/ 7.0020E+02(<) | 9.0380E+02/ 3.7234E+01(<) | 5.2818E+02/ 2.6976E+01 |
\(f_{c24}\) | 6.0914E+02/ 3.8113E+01(<) | 5.7790E+02/ 2.7544E+01(>) | 9.9414E+02/ 3.5546E+02(<) | 2.2409E+02/ 1.6426E+02(>) | 1.5542E+03/ 4.3912E+01(<) | 5.9113E+02/ 1.8878E+01 |
\(f_{c25}\) | 5.7114E+02/ 2.2628E+01(>) | 6.4783E+02/ 4.2335E+01(>) | 5.1144E+02/ 3.9380E+01(>) | 5.5987E+02/ 3.4803E+01(>) | 5.4756E+02/ 3.2818E+01(>) | 6.6070E+02/ 9.4461E+01 |
\(f_{c26}\) | 2.5134E+03/ 1.8413E+03(<) | 1.9257E+03/ 5.3199E+02(<) | 2.6570E+03/ 1.9588E+03(<) | 6.1694E+03/ 2.3005E+03 | 3.9618E+02/ 3.8901E+02(>) | 1.9178E+03/ 8.4297E+02 |
\(f_{c27}\) | 6.1342E+02/ 4.9179E+01(<) | 8.8470E+02/ 8.7660E+01(<) | 1.3001E+03/ 1.5869E+02(<) | 3.5138E+03/ 8.8280E+02(<) | 1.0896E+03/ 1.0388E+02(<) | 5.1697E+02/ 3.4946E+01 |
\(f_{c28}\) | 5.2002E+02/ 2.5409E+01(>) | 6.3010E+02/ 4.8252E+01(>) | 4.9765E+02/ 4.8876E+01(>) | 4.6905E+02/ 4.7456E+01(>) | 4.2018E+03/ 8.9551E+02(<) | 8.3538E+02/ 3.8255E+02 |
\(f_{c29}\) | 8.4895E+02/ 2.5385E+02(<) | 1.0765E+03/ 3.3372E+02(<) | 1.0933E+03/ 2.1769E+02(<) | 1.7226E+03/ 3.2711E+02(<) | 1.9942E+03/ 5.2742E+02(<) | 5.8935E+02/ 1.8955E+02 |
\(f_{c30}\) | 9.1171E+05/ 1.4680E+05(>) | 3.0213E+06/ 2.9978E+06(<) | 4.8516E+04/ 6.1237E+04(>) | 3.0736E+04/ 1.9100E+04(>) | 2.6923E+05/ 2.6715E+05(>) | 2.7823E+06/ 2.7242E+06 |
>/\(\approx\)/< | 12/0/18 | 15/0/15 | 13/0/17 | 12/0/18 | 12/0/18 | -/-/- |
