Table 2 Experimental results of mDEOB/cur-to-best/1, DE/cur-best/1 over 25 runs on 25 test functions with 150,000 FEs
DE | mDEOB | DE | mDEOB | DE | mDEOB | DE | mDEOB | DE | mDEOB | |
|---|---|---|---|---|---|---|---|---|---|---|
f1 | f2 | f3 | f4 | f5 | ||||||
1st | 0.00E+00 | 0.00E+00 | 5.50E−07 | 0.00E+00 | 4.89E+02 | 0.00E+00 | 2.27E−13 | 0.00E+00 | 1.28E+02 | 0.00E+00 |
7th | 8.55E−05 | 0.00E+00 | 1.74E−02 | 0.00E+00 | 1.90E+03 | 0.00E+00 | 9.29E−08 | 0.00E+00 | 3.53E+02 | 0.00E+00 |
13th | 2.28E−03 | 0.00E+00 | 6.37E−01 | 0.00E+00 | 1.15E+04 | 0.00E+00 | 4.12E−05 | 0.00E+00 | 9.36E+02 | 0.00E+00 |
19th | 2.60E−02 | 0.00E+00 | 2.64E+01 | 0.00E+00 | 2.98E+04 | 0.00E+00 | 1.69E−03 | 0.00E+00 | 1.50E+03 | 0.00E+00 |
25th | 1.14E+01 | 0.00E+00 | 6.33E+02 | 0.00E+00 | 1.71E+05 | 0.00E+00 | 4.06E−02 | 0.00E+00 | 3.65E+03 | 0.00E+00 |
Mean | 7.90E−01 | 0.00E+00 | 6.52E+01 | 0.00E+00 | 2.53E+04 | 0.00E+00 | 3.34E−03 | 0.00E+00 | 1.14E+03 | 0.00E+00 |
SD | 2.54E+00 | 0.00E+00 | 1.47E+02 | 0.00E+00 | 3.98E+04 | 0.00E+00 | 8.70E−03 | 0.00E+00 | 8.95E+02 | 0.00E+00 |
Compare | + | + | + | + | + | |||||
f6 | f7 | f8 | f9 | f10 | ||||||
1st | 3.99E+00 | 0.00E+00 | 1.72E−02 | 7.40E−03 | 2.01E+01 | 2.02E+01 | 0.00E+00 | 2.29E−02 | 3.98E+00 | 3.02E+00 |
7th | 8.35E+00 | 0.00E+00 | 7.14E−02 | 2.06E−02 | 2.02E+01 | 2.02E+01 | 3.98E+00 | 1.03E+00 | 7.96E+00 | 7.69E+00 |
13th | 1.98E+01 | 0.00E+00 | 3.13E−01 | 3.45E−02 | 2.02E+01 | 2.03E+01 | 4.97E+00 | 2.50E+00 | 1.19E+01 | 9.61E+00 |
19th | 6.73E+01 | 0.00E+00 | 3.64E−01 | 5.66E−02 | 2.03E+01 | 2.03E+01 | 6.17E+00 | 4.32E+00 | 1.29E+01 | 1.28E+01 |
25th | 5.70E+03 | 3.99E+00 | 2.32E+00 | 3.32E−01 | 2.04E+01 | 2.04E+01 | 1.29E+01 | 8.25E+00 | 1.99E+01 | 2.41E+01 |
Mean | 2.77E+02 | 4.78E−01 | 4.98E−01 | 5.40E−02 | 2.02E+01 | 2.03E+01 | 5.30E+00 | 3.24E+00 | 1.13E+01 | 1.04E+01 |
SD | 1.11E+03 | 1.30E+00 | 6.13E−01 | 6.40E−02 | 7.59E−02 | 7.74E−02 | 2.87E+00 | 2.16E+00 | 3.85E+00 | 4.42E+00 |
Compare | + | + | − | − | + | |||||
f11 | f12 | f13 | f14 | f15 | ||||||
1st | 3.52E−02 | 3.21E−05 | 0.00E+00 | 0.00E+00 | 2.80E−01 | 9.20E−01 | 1.10E+00 | 1.59E+00 | 0.00E+00 | 0.00E+00 |
7th | 3.71E−01 | 8.40E−02 | 1.00E+01 | 0.00E+00 | 5.42E−01 | 1.29E+00 | 1.76E+00 | 2.36E+00 | 7.81E+01 | 5.21E+01 |
13th | 1.34E+00 | 3.44E+00 | 1.52E+01 | 0.00E+00 | 7.12E−01 | 1.64E+00 | 2.30E+00 | 2.56E+00 | 1.36E+02 | 7.25E+01 |
19th | 2.13E+00 | 6.68E+00 | 7.12E+02 | 1.00E+01 | 7.83E−01 | 1.81E+00 | 2.55E+00 | 2.65E+00 | 4.25E+02 | 1.30E+02 |
25th | 3.11E+00 | 8.41E+00 | 2.13E+03 | 1.56E+03 | 1.25E+00 | 2.27E+00 | 3.08E+00 | 3.01E+00 | 6.21E+02 | 4.10E+02 |
Mean | 1.31E+00 | 3.49E+00 | 4.31E+02 | 6.65E+01 | 7.23E−01 | 1.58E+00 | 2.14E+00 | 2.49E+00 | 2.60E+02 | 1.17E+02 |
SD | 9.58E−01 | 2.88E+00 | 7.05E+02 | 3.04E+02 | 2.41E−01 | 3.35E−01 | 5.17E−01 | 2.90E−01 | 2.12E+02 | 1.13E+02 |
Compare | + | + | − | − | + | |||||
f16 | f17 | f18 | f19 | f20 | ||||||
1st | 9.27E+01 | 5.97E+01 | 9.37E+01 | 1.00E+02 | 8.00E+02 | 3.00E+02 | 8.00E+02 | 5.01E+02 | 8.00E+02 | 3.00E+02 |
7th | 1.05E+02 | 9.62E+01 | 1.02E+02 | 1.08E+02 | 8.01E+02 | 8.00E+02 | 8.01E+02 | 8.00E+02 | 8.01E+02 | 8.00E+02 |
13th | 1.14E+02 | 1.03E+02 | 1.14E+02 | 1.23E+02 | 9.21E+02 | 8.00E+02 | 9.21E+02 | 8.00E+02 | 9.21E+02 | 8.00E+02 |
19th | 1.26E+02 | 1.14E+02 | 1.27E+02 | 1.35E+02 | 9.76E+02 | 8.00E+02 | 9.88E+02 | 9.06E+02 | 9.89E+02 | 8.82E+02 |
25th | 1.48E+02 | 1.26E+02 | 1.64E+02 | 1.48E+02 | 1.07E+03 | 9.37E+02 | 1.03E+03 | 9.50E+02 | 1.03E+03 | 9.51E+02 |
Mean | 1.16E+02 | 1.05E+02 | 1.15E+02 | 1.21E+02 | 9.08E+02 | 7.45E+02 | 9.09E+02 | 8.26E+02 | 9.05E+02 | 8.01E+02 |
SD | 1.41E+01 | 1.41E+01 | 1.76E+01 | 1.45E+01 | 8.64E+01 | 1.76E+02 | 8.94E+01 | 8.69E+01 | 8.55E+01 | 1.28E+02 |
Compare | + | − | + | + | + | |||||
f21 | f22 | f23 | f24 | f25 | ||||||
1st | 3.00E+02 | 3.00E+02 | 3.01E+02 | 3.00E+02 | 5.59E+02 | 5.59E+02 | 2.00E+02 | 2.00E+02 | 2.00E+02 | 2.00E+02 |
7th | 8.75E+02 | 3.00E+02 | 7.35E+02 | 7.56E+02 | 9.71E+02 | 7.21E+02 | 2.00E+02 | 2.00E+02 | 2.00E+02 | 2.00E+02 |
13th | 9.71E+02 | 3.00E+02 | 7.55E+02 | 7.61E+02 | 1.08E+03 | 7.21E+02 | 2.01E+02 | 2.00E+02 | 2.01E+02 | 2.00E+02 |
19th | 1.13E+03 | 5.00E+02 | 8.00E+02 | 7.64E+02 | 1.18E+03 | 9.71E+02 | 5.41E+02 | 2.00E+02 | 5.41E+02 | 2.00E+02 |
25th | 1.20E+03 | 9.00E+02 | 9.63E+02 | 8.00E+02 | 1.26E+03 | 1.09E+03 | 1.23E+03 | 7.00E+02 | 1.23E+03 | 7.00E+02 |
Mean | 9.04E+02 | 4.34E+02 | 7.57E+02 | 7.30E+02 | 1.03E+03 | 8.21E+02 | 4.65E+02 | 2.44E+02 | 4.65E+02 | 2.44E+02 |
SD | 2.86E+02 | 1.96E+02 | 1.09E+02 | 1.28E+02 | 1.88E+02 | 1.75E+02 | 3.35E+02 | 1.24E+02 | 3.35E+02 | 1.24E+02 |
Compare | + | + | + | + | + | |||||