Table 3 Comparison on experiments’ result.
Functions | Dim | Metric | Algorithms | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
BAS | WOA | PSO | LABAS | IBAS | BSAS | ENBAS | ABSAS-CS-GSA | |||
F1 | 30 | Mean | 8.08e + 4 | 0.00 | 8.03e + 4 | 1.83e−23 | 1.34e + 4 | 2.74e + 2 | 0.00 | 0.00 |
Std | 1.22e + 4 | 0.00 | 1.57e + 4 | 8.02e−23 | 4.27e + 3 | 1.90e + 2 | 0.00 | 0.00 | ||
50 | Mean | 1.49e + 5 | 0.00 | 2.49e + 5 | 1.48e−16 | 5.09e + 4 | 8.94e + 3 | 0.00 | 0.00 | |
Std | 1.91 + 4 | 0.00 | 1.98e + 4 | 2.37e−16 | 8.92e + 3 | 2.13e + 3 | 0.00 | 0.00 | ||
F2 | 30 | Mean | 8.13e + 5 | 4.02e−42 | 9.87e + 4 | 4.84e−3 | 4.87e + 4 | 4.43e + 4 | 0.00 | 5.73e−269 |
Std | 8.74e + 5 | 2.16e−41 | 1.50e + 4 | 6.95e−3 | 1.26e + 4 | 7.69e + 3 | 0.00 | 0.00 | ||
50 | Mean | 2.65e + 6 | 1.72e−35 | 2.24e + 5 | 4.56e−1 | 1.39e + 5 | 1.28e + 5 | 0.00 | 6.36e−262 | |
Std | 3.71e + 6 | 9.27e−35 | 3.80e + 4 | 6.23e−1 | 3.90e + 4 | 2.03e + 4 | 0.00 | 0.00 | ||
F3 | 30 | Mean | 2.82e + 3 | 0.00 | 8.88e + 3 | 7.79e + 3 | 1.39e + 3 | 3.65 | 0.00 | 0.00 |
Std | 8.03e + 2 | 0.00 | 1.98e + 3 | 1.19e + 4 | 4.21e + 2 | 7.43e−1 | 0.00 | 0.00 | ||
50 | Mean | 1.42e + 4 | 0.00 | 4.38e + 4 | 9.84e + 3 | 9.08e + 3 | 1.36e + 2 | 0.00 | 0.00 | |
Std | 2.55e + 3 | 0.00 | 5.55e + 3 | 1.43e + 3 | 1.75e + 3 | 3.80e + 1 | 0.00 | 0.00 | ||
F4 | 30 | Mean | 2.33e + 4 | 5.56e−1 | 7.84e + 4 | 4.79e + 3 | 1.34e + 4 | 4.24e + 2 | 5.19 | 2.32e−25 |
Std | 6.07e + 3 | 3.92e−1 | 1.69e + 4 | 2.55e + 4 | 3.66e + 3 | 2.46e + 2 | 6.87e−1 | 1.03e−24 | ||
50 | Mean | 6.63e + 4 | 7.59e−1 | 2.45e + 5 | 7.30e + 4 | 4.62e + 4 | 9.65e + 3 | 1.05e + 1 | 7.60e−15 | |
Std | 1.12e + 4 | 5.78e−1 | 2.09e + 4 | 1.03e + 5 | 6.94e + 3 | 3.39e + 3 | 4.72e−1 | 3.13e−14 | ||
F5 | 30 | Mean | 1.18e + 2 | 3.33e−2 | 1.40e + 3 | 6.29e + 2 | 1.10e + 2 | 3.04e + 1 | 2.63 | 8.09e-24 |
Std | 3.77e + 1 | 8.74e-2 | 1.11e + 2 | 3.24e + 2 | 2.55e + 1 | 3.61 | 3.42e-1 | 3.46e-23 | ||
50 | Mean | 2.56e + 2 | 5.37e-2 | 2.69e + 3 | 2.86e + 2 | 2.07e + 2 | 6.11e + 1 | 5.37 | 4.52e-14 | |
Std | 9.07e + 1 | 8.78e-2 | 1.24e + 2 | 3.96e + 1 | 4.13e + 1 | 5.35 | 3.21e−1 | 1.26e−13 | ||
F6 | 30 | Mean | 2.01e + 1 | 4.44e−16 | 1.99e + 1 | 1.96e + 1 | 1.95e + 1 | 1.82e + 1 | 4.44e−16 | 4.44e−16 |
Std | 2.29e−1 | 0.00 | 0.00 | 3.26e−1 | 1.25 | 5.04e−1 | 0.00 | 0.00 | ||
50 | Mean | 2.04e + 1 | 4.44e−16 | 1.99e + 1 | 1.96e + 1 | 2.07e + 1 | 1.89e + 1 | 4.44e−16 | 4.44e−16 | |
Std | 1.91e−1 | 0.00 | 0.00 | 1.23 | 4.52e−1 | 1.91e−1 | 0.00 | 0.00 | ||
F7 | 30 | Mean | 2.03e + 7 | 1.94e−1 | 1.13e + 7 | 8.63e + 7 | 8.02e + 7 | 8.12e + 4 | 2.82 | 1.50e−21 |
Std | 9.11e + 7 | 1.36e−1 | 5.56e + 7 | 5.53e + 7 | 6.77e + 7 | 1.24e + 5 | 2.27e−1 | 5.70e−21 | ||
50 | Mean | 8.66e + 7 | 3.26e−1 | 7.13e + 7 | 5.29e + 7 | 4.02e + 7 | 3.00e + 7 | 4.97 | 3.66e−4 | |
Std | 3.48e + 7 | 3.95e−1 | 1.22e + 7 | 1.40e + 7 | 2.00e + 7 | 1.82e + 7 | 2.83e−2 | 1.97e−3 | ||
F8 | 30 | Mean | 3.76e + 1 | 2.46e−278 | 1.49e + 2 | 4.31e + 1 | 5.02e + 1 | 5.29 | 0.00 | 5.58e-206 |
Std | 7.14 | 0.00 | 5.93 | 5.25 | 9.76 | 1.17 | 0.00 | 0.00 | ||
50 | Mean | 8.16e + 1 | 1.43e-277 | 2.56e + 2 | 8.68e + 1 | 8.32e + 1 | 1.78e + 1 | 0.00 | 1.24e−199 | |
Std | 1.10e + 1 | 0.00 | 7.74 | 5.98 | 9.79 | 1.93 | 0.00 | 0.00 | ||
F9 | 2 | Mean | 2.98e−1 | 0.00 | 0.00 | 1.02e−3 | 7.97e−32 | 1.35e−6 | 0.00 | 0.00 |
Std | 9.96e−2 | 0.00 | 0.00 | 1.30e−3 | 3.07e−32 | 1.29e−6 | 0.00 | 0.00 | ||
F10 | 4 | Mean | 2.67e−2 | 5.58e−4 | 1.11e−2 | 1.49e−2 | 9.99e−2 | 5.52e−4 | 3.84e−4 | 3.07e−4 |
Std | 3.22e−2 | 2.43e−4 | 1.83e−2 | 7.45e−3 | 2.45e−2 | 9.26e−5 | 5.98e−5 | 1.38e−11 | ||
F11 | 6 | Mean | −3.20 | −3.12 | −3.05 | −3.12 | −3.16 | −3.29 | −3.21 | −3.32 |
Std | 3.68e−1 | 1.11e−1 | 1.48e−1 | 9.93e−2 | 3.63e−1 | 1.07e−2 | 3.88e−2 | 6.79e−9 | ||
F12 | 2 | Mean | −4.15e−2 | −1.00 | −0.95 | −0.77 | −7.80e−2 | −0.97 | −1.00 | −1.00 |
Std | 2.76e−1 | 0.00 | 2.69e−2 | 1.18e−1 | 8.66e−2 | 2.31e−2 | 0.00 | 0.00 | ||
