Table 3 Comparative results of f8 to f13 for PSC-MTLBO, MTLBO, and TLBO with other meta-heuristics of benchmark suite 1.
From: Parallel sub class modified teaching learning based optimization
PSO | DE | BBO | CS | FA | GSA | ABC | AMO | TLBO | MTLBO | PSC-MTLBO | ||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
f8 | Mean | −8.8278E + 03 | −1.1276E + 04 | −1.2568E + 04 | −9.1492E + 03 | −6.2238E + 03 | −3.0499E + 03 | −1.2507E + 04 | −1.2569E + 04 | −6.8384E + 03 | −7.6179E + 03 | −8.6146E + 03 |
Mean rank | 6 | 4 | 2 | 5 | 10 | 11 | 3 | 1 | 9 | 8 | 7 | |
SD | 6.1116E + 02 | 1.8135E + 03 | 5.7580E-01 | 2.5314E + 02 | 7.7230E + 02 | 3.3886E + 02 | 6.1119E + 01 | 1.2384E-07 | 8.1044E + 02 | 6.4620E + 02 | 4.5208E + 02 | |
SD rank | 7 | 11 | 2 | 4 | 9 | 5 | 3 | 1 | 10 | 8 | 6 | |
f9 | Mean | 1.8268E + 01 | 1.3468E + 02 | 3.8500E-02 | 5.1220E + 01 | 2.3521E + 01 | 7.2831E + 00 | 0.0000E + 00 | 0.0000E + 00 | 1.0131E + 01 | 1.7113E + 00 | 0.0000E + 00 |
Mean rank | 8 | 11 | 4 | 10 | 9 | 6 | 1 | 1 | 7 | 5 | 1 | |
SD | 4.7965E + 00 | 2.8860E + 01 | 1.5400E-02 | 8.1069E + 00 | 8.3683E + 00 | 1.8991E + 00 | 0.0000E + 00 | 0.0000E + 00 | 3.5722E + 01 | 5.9664E + 00 | 0.0000E + 00 | |
SD Rank | 6 | 10 | 4 | 8 | 9 | 5 | 1 | 1 | 11 | 7 | 1 | |
f10 | Mean | 3.8719E-06 | 7.4739E-08 | 1.9470E-01 | 2.3750E + 00 | 9.4000E-03 | 1.4717E-09 | 1.1946E-09 | 4.4409E-15 | 4.1567E-15 | 3.8725E-15 | 0.0000E + 00 |
Mean rank | 8 | 7 | 10 | 11 | 9 | 6 | 5 | 4 | 3 | 2 | 1 | |
SD | 2.8604E-06 | 3.1082E-08 | 4.6100E-02 | 1.1238E + 00 | 1.4000E-03 | 1.4449E-10 | 5.0065E-10 | 0.0000E + 00 | 9.8370E-16 | 1.3293E-15 | 0.0000E + 00 | |
SD rank | 8 | 7 | 10 | 11 | 9 | 5 | 6 | 1 | 3 | 4 | 1 | |
f11 | Mean | 1.6800E-02 | 0.0000E + 00 | 2.7650E-01 | 4.4900E-05 | 2.5000E-03 | 1.2650E-02 | 0.0000E + 00 | 0.0000E + 00 | 0.0000E + 00 | 0.0000E + 00 | 0.0000E + 00 |
Mean rank | 10 | 1 | 11 | 7 | 8 | 9 | 1 | 1 | 1 | 1 | 1 | |
SD | 2.0500E-02 | 0.0000E + 00 | 7.9600E-02 | 8.9551E-05 | 4.6910E-04 | 2.1600E-02 | 0.0000E + 00 | 0.0000E + 00 | 0.0000E + 00 | 0.0000E + 00 | 0.0000E + 00 | |
SD rank | 9 | 1 | 11 | 7 | 8 | 10 | 1 | 1 | 1 | 1 | 1 | |
f12 | Mean | 8.3000E-03 | 4.7114E-15 | 2.0000E-03 | 5.0710E-01 | 8.8694E-06 | 2.0358E-20 | 1.1928E-21 | 1.5705E-32 | 8.8531E-03 | 2.8727E-13 | 3.6861E-24 |
Mean rank | 9 | 5 | 8 | 11 | 7 | 4 | 3 | 1 | 10 | 6 | 2 | |
SD | 2.8700E-02 | 3.2597E-15 | 2.3000E-03 | 2.6620E-01 | 2.7999E-06 | 4.5322E-21 | 1.0783E-21 | 2.8080E-48 | 2.0843E-02 | 1.4364E-12 | 6.5556E-24 | |
SD rank | 10 | 5 | 8 | 11 | 7 | 4 | 3 | 1 | 9 | 6 | 2 | |
f13 | Mean | 4.6694E-07 | 3.1598E-14 | 2.1800E-02 | 4.6965E-04 | 1.2812E-04 | 5.6991E-33 | 2.2990E-20 | 1.3498E-32 | 1.5166E + 00 | 1.6535E-01 | 2.1369E-02 |
Mean Rank | 5 | 4 | 9 | 7 | 6 | 1 | 3 | 2 | 11 | 10 | 8 | |
SD | 1.3713E-06 | 2.2825E-14 | 9.6000E-03 | 2.9932E-04 | 4.1539E-05 | 6.2589E-33 | 2.2886E-20 | 2.8080E-48 | 1.0359E + 00 | 2.0869E-01 | 3.7573E-02 | |
SD rank | 5 | 4 | 8 | 7 | 6 | 2 | 3 | 1 | 11 | 10 | 9 | |
Average mean rank | 7.6667 | 5.4082 | 7.6531 | 8.3469 | 8.2449 | 6.0408 | 3.1837 | 2.0612 | 6.2449 | 5.1429 | 3.1020 | |
Overall mean rank | 9 | 5 | 8 | 11 | 10 | 6 | 3 | 1 | 7 | 4 | 2 | |
Average SD rank | 7.5 | 6.3333 | 7.1667 | 8 | 8 | 5.1667 | 2.8333 | 1 | 7.5 | 6 | 3.3333 | |
Overall SD rank | 8 | 6 | 7 | 10 | 10 | 4 | 2 | 1 | 8 | 5 | 3 | |
Overall friedman rank | 9 | 5 | 8 | 11 | 10 | 6 | 3 | 1 | 7 | 4 | 2 | |
