Table 5. Results for D = 30, N = 40, FEs = 200,000.
Function | Algorithm | ||||||
---|---|---|---|---|---|---|---|
CLPSO | ECLPSO | OLPSO-G | OLPSO-L | LILPSO1 | LILPSO2 | ||
F1 | mean | 5.66E−15 | 1.32E−26 | 4.12E−54 | 1.11E−38 | 3.00E−66 | 4.19E−87 |
sd | 1.33E−29 | 1.63E−51 | 6.34E−54 | 1.28E−38 | 4.31E−131 | 8.79E−173 | |
ttest | + | + | + | + | + | ||
F2 | mean | 8.28E+00 | 1.00E+00 | 2.15E+01 | 1.26E+00 | 1.00E+00 | 1.00E+00 |
sd | 3.57E+01 | 0.00E+00 | 2.99E+01 | 1.40E+00 | 2.39E−13 | 1.90E−05 | |
ttest | + | = | + | + | = | ||
F4 | mean | 3.72E−09 | 7.41E+01 | 9.85E−30 | 7.67E−22 | 4.81E−13 | 4.86E−17 |
sd | 2.12E−18 | 1.33E+02 | 1.01E−29 | 5.63E−22 | 8.61E−27 | 1.83E−33 | |
ttest | + | + | − | − | + | ||
F5 | mean | 1.57E−02 | 6.40E−03 | 1.16E−02 | 1.64E−02 | 1.05E−02 | 8.10E−03 |
sd | 1.31E−05 | 5.48E−06 | 4.10E−03 | 3.25E−03 | 1.65E−05 | 4.53E−06 | |
ttest | + | = | + | + | + | ||
F6 | mean | 1.63E−15 | 6.81E−22 | 1.59E−32 | 1.57E−32 | 1.57E−32 | 1.57E−32 |
sd | 1.05E−30 | 6.94E−42 | 1.03E−33 | 2.79E−48 | 0.00E+00 | 0.00E+00 | |
ttest | + | + | = | = | = | ||
F7 | mean | 2.05E−12 | 5.83E−20 | 4.39E−04 | 1.57E−32 | 1.33E−31 | 1.35E−32 |
sd | 3.59E−24 | 5.47E−38 | 2.20E−03 | 2.79E−48 | 1.90E−62 | 0.00E+00 | |
ttest | + | + | + | = | + | ||
F8 | mean | 6.92E−07 | 2.20E−05 | 7.98E−15 | 4.14E−15 | 2.25E−11 | 2.84E−15 |
sd | 1.21E−13 | 9.75E−09 | 2.03E−15 | 0.00E+00 | 5.35E−22 | 2.52E−30 | |
ttest | + | + | + | + | + | ||
F9 | mean | 1.77E−15 | 1.91E+00 | 2.17E+02 | 0.00E+00 | 0.00E+00 | 0.00E+00 |
sd | 0.00E+00 | 6.95E+01 | 1.07E+00 | 0.00E+00 | 0.00E+00 | 0.00E+00 | |
ttest | + | + | + | = | = | ||
F10 | mean | 3.35E−10 | 1.88E+02 | 4.83E−03 | 0.00E+00 | 0.00E+00 | 0.00E+00 |
sd | 4.02E−19 | 1.15E+03 | 8.63E−03 | 0.00E+00 | 0.00E+00 | 0.00E+00 | |
ttest | + | + | + | = | = | ||
F11 | mean | 3.81E−04 | 6.58E+03 | 3.84E+02 | 3.81E−04 | 2.36E+01 | 3.81E−04 |
sd | 3.41E−23 | 2.53E+05 | 2.17E+02 | 0.00E+00 | 2.80E+03 | 0.00E+00 | |
ttest | = | + | + | = | + | ||
F12 | mean | 3.36E+00 | 1.83E+01 | 7.69E−15 | 4.28E−15 | 6.40E−03 | 2.60E−03 |
sd | 5.73E−01 | 1.59E−01 | 1.78E−15 | 7.11E−16 | 6.49E−15 | 9.19E−06 | |
ttest | + | + | − | − | + | ||
F13 | mean | 3.92E+01 | 3.15E+02 | 4.60E+00 | 5.34E+01 | 2.92E+01 | 3.56E+01 |
sd | 5.80E+01 | 4.78E+02 | 1.28E+01 | 1.33E+01 | 9.63E+01 | 6.96E+02 | |
ttest | + | + | − | + | − | ||
F14 | mean | 1.06E+00 | 2.09E+02 | 1.68E−03 | 4.19E−08 | 7.69E−04 | 7.06E−02 |
sd | 2.10E−03 | 8.32E+01 | 4.13E−03 | 2.06E−07 | 8.66E−07 | 7.70E−03 | |
ttest | + | + | − | − | − |