Table 7 Various algorithms on the CEC-2014 suite achieved the best results.
From: A sterna migration algorithm-based efficient bionic engineering optimization algorithm
Function | Dimension | StMA Mean Std | SMP-JaQA Mean Std | CFDE Mean Std | THRO Mean Std | CIA Mean Std | GFA Mean Std | FBO Mean Std | FCO Mean Std | HBO Mean Std | EW-DHOA Mean Std |
|---|---|---|---|---|---|---|---|---|---|---|---|
F1 | 30 | 1.14e-03 2.78e-05 | 6.86e-03 7.03e-04 | 6.47e-03 8.90e-04 | 8.02e-03 2.84e-04 | 8.46e-03 4.76e-04 | 5.00e-03 7.17e-04 | 9.17e-03 5.85e-04 | 1.22e-02 4.77e-04 | 8.97e-03 6.03e-04 | 5.92e-03 1.25e-04 |
F2 | 30 | 1.02e-03 7.75e-05 | 5.85e-03 3.84e-04 | 1.38e-02 5.80e-04 | 1.19e-02 9.62e-04 | 5.39e-03 7.18e-04 | 8.13e-03 4.79e-04 | 1.30e-02 8.90e-04 | 1.47e-02 1.89e-04 | 6.70e-03 8.51e-04 | 1.39e-02 7.23e-04 |
F3 | 30 | 1.59e-03 7.30e-05 | 1.41e-02 1.48e-04 | 6.03e-03 3.39e-04 | 1.29e-02 2.90e-04 | 7.94e-03 6.17e-04 | 7.80e-03 7.11e-04 | 1.49e-02 2.17e-04 | 1.25e-02 1.17e-04 | 7.88e-03 2.32e-04 | 9.48e-03 5.42e-04 |
F4 | 30 | 1.75e-03 7.53e-05 | 1.16e-02 2.49e-04 | 5.50e-03 8.27e-04 | 9.14e-03 2.25e-04 | 1.01e-02 9.35e-04 | 1.19e-02 2.24e-04 | 6.02e-03 6.28e-04 | 9.14e-03 9.13e-04 | 1.44e-02 4.13e-04 | 1.04e-02 4.58e-04 |
F5 | 30 | 1.00e-03 6.55e-05 | 9.28e-03 3.13e-04 | 7.70e-03 6.21e-04 | 8.49e-03 5.05e-04 | 1.46e-02 9.13e-04 | 1.25e-02 9.55e-04 | 1.38e-02 6.60e-04 | 1.12e-02 2.03e-04 | 1.16e-02 6.16e-04 | 1.40e-02 4.67e-04 |
F6 | 30 | 1.71e-03 2.12e-05 | 5.16e-03 7.80e-04 | 1.41e-02 7.27e-04 | 8.57e-03 9.39e-04 | 1.43e-02 7.78e-04 | 1.39e-02 2.23e-04 | 8.27e-03 9.98e-04 | 1.03e-02 2.55e-04 | 1.19e-02 9.31e-04 | 1.12e-02 1.59e-04 |
F7 | 30 | 1.86e-03 7.72e-05 | 1.05e-02 3.10e-04 | 1.36e-02 1.17e-04 | 7.46e-03 6.05e-04 | 1.34e-02 8.26e-04 | 5.28e-03 9.73e-04 | 5.20e-03 3.51e-04 | 5.26e-03 6.27e-04 | 6.24e-03 4.49e-04 | 1.04e-02 8.21e-04 |
F8 | 30 | 1.97e-03 8.62e-05 | 7.26e-03 7.69e-04 | 5.45e-03 2.83e-04 | 6.21e-03 6.11e-04 | 1.21e-02 2.76e-04 | 5.60e-03 9.71e-04 | 1.06e-02 1.11e-04 | 6.36e-03 1.65e-04 | 1.06e-02 6.23e-04 | 6.07e-03 3.27e-04 |
F9 | 30 | 1.07e-03 4.33e-05 | 5.70e-03 7.71e-04 | 6.57e-03 4.42e-04 | 1.33e-02 6.22e-04 | 9.86e-03 7.02e-04 | 1.12e-02 9.90e-04 | 7.40e-03 6.12e-04 | 9.94e-03 3.86e-04 | 1.11e-02 3.38e-04 | 5.19e-03 5.96e-04 |
F10 | 30 | 1.62e-03 9.54e-05 | 6.93e-03 9.39e-04 | 7.60e-03 7.95e-04 | 5.67e-03 7.62e-04 | 1.14e-02 1.13e-04 | 1.25e-02 1.59e-04 | 1.13e-02 9.32e-04 | 7.10e-03 3.37e-04 | 1.02e-02 3.11e-04 | 1.30e-02 9.17e-04 |
F11 | 30 | 1.83e-03 1.14e-05 | 1.10e-02 5.55e-04 | 8.90e-03 2.14e-04 | 1.14e-02 2.57e-04 | 1.05e-02 1.19e-04 | 1.42e-02 9.67e-04 | 1.45e-02 9.27e-04 | 1.06e-02 4.55e-04 | 1.43e-02 9.53e-04 | 9.86e-03 2.22e-04 |
F12 | 30 | 1.43e-03 8.27e-05 | 1.08e-02 6.39e-04 | 8.45e-03 3.57e-04 | 1.31e-02 8.19e-04 | 1.38e-02 1.14e-04 | 6.31e-03 5.92e-04 | 6.76e-03 9.15e-04 | 8.32e-03 5.14e-04 | 1.34e-02 6.34e-04 | 1.44e-02 5.41e-04 |
F13 | 30 | 1.29e-03 6.28e-05 | 5.54e-03 8.46e-04 | 1.29e-02 9.76e-04 | 6.84e-03 4.39e-04 | 9.20e-03 6.17e-04 | 1.08e-02 9.79e-04 | 8.15e-03 9.27e-04 | 1.39e-02 1.00e-04 | 1.18e-02 6.65e-04 | 1.11e-02 6.44e-04 |
F14 | 30 | 1.34e-03 8.18e-05 | 1.17e-02 7.10e-04 | 1.36e-02 4.87e-04 | 1.20e-02 6.60e-04 | 9.51e-03 2.79e-04 | 1.26e-02 3.86e-04 | 1.25e-02 4.70e-04 | 1.36e-02 4.61e-04 | 8.82e-03 4.84e-04 | 8.23e-03 9.76e-04 |
F15 | 30 | 1.98e-03 2.63e-05 | 1.03e-02 1.61e-04 | 7.52e-03 5.19e-04 | 7.70e-03 6.12e-04 | 1.30e-02 4.40e-04 | 1.16e-02 7.94e-04 | 1.38e-02 7.60e-04 | 1.40e-02 5.67e-04 | 1.07e-02 1.72e-04 | 1.35e-02 4.08e-04 |
F16 | 30 | 1.25e-03 8.67e-05 | 8.45e-03 5.50e-04 | 6.61e-03 2.00e-04 | 1.07e-02 3.31e-04 | 7.25e-03 7.56e-04 | 1.19e-02 9.19e-04 | 1.31e-02 3.81e-04 | 1.37e-02 9.25e-04 | 1.09e-02 2.87e-04 | 9.67e-03 2.74e-04 |
F17 | 30 | 1.84e-03 5.85e-05 | 6.53e-03 1.20e-04 | 1.02e-02 5.67e-04 | 6.02e-03 3.00e-04 | 1.12e-02 3.92e-04 | 7.34e-03 7.76e-04 | 9.16e-03 6.89e-04 | 1.12e-02 2.30e-04 | 1.04e-02 8.86e-04 | 9.77e-03 8.07e-04 |
F18 | 30 | 1.78e-03 9.91e-05 | 1.20e-02 4.11e-04 | 5.99e-03 3.31e-04 | 1.35e-02 3.34e-04 | 1.11e-02 8.17e-04 | 1.33e-02 7.59e-04 | 1.37e-02 1.31e-04 | 1.45e-02 7.93e-04 | 1.30e-02 5.02e-04 | 1.15e-02 6.69e-04 |
F19 | 30 | 1.69e-03 2.70e-05 | 1.49e-02 4.30e-04 | 1.47e-02 7.71e-04 | 1.04e-02 2.44e-04 | 1.05e-02 8.76e-04 | 1.40e-02 1.24e-04 | 8.00e-03 2.22e-04 | 6.43e-03 4.20e-04 | 1.03e-02 7.23e-04 | 1.14e-02 1.27e-04 |
F20 | 30 | 1.51e-03 5.87e-05 | 1.25e-02 8.59e-04 | 7.48e-03 1.25e-04 | 7.04e-03 3.68e-04 | 9.57e-03 4.43e-04 | 1.49e-02 8.19e-04 | 9.42e-03 5.58e-04 | 1.08e-02 2.91e-04 | 5.57e-03 7.75e-04 | 7.62e-03 6.34e-04 |
F21 | 30 | 1.82e-03 6.64e-05 | 7.21e-03 4.08e-04 | 9.65e-03 7.27e-04 | 1.21e-02 8.23e-04 | 7.67e-03 8.61e-04 | 5.32e-03 6.70e-04 | 1.46e-02 4.86e-04 | 1.30e-02 1.98e-04 | 5.81e-03 4.86e-04 | 1.45e-02 7.90e-04 |
F22 | 30 | 1.77e-03 2.13e-05 | 5.28e-03 4.62e-04 | 9.59e-03 5.27e-04 | 5.67e-03 5.30e-04 | 1.25e-02 9.14e-04 | 5.18e-03 5.05e-04 | 6.43e-03 7.72e-04 | 5.78e-03 5.07e-04 | 8.95e-03 1.33e-04 | 6.13e-03 8.23e-04 |
F23 | 30 | 1.25e-03 2.56e-05 | 1.30e-02 7.59e-04 | 1.45e-02 9.91e-04 | 5.03e-03 9.15e-04 | 1.42e-02 9.18e-04 | 1.04e-02 6.60e-04 | 1.12e-02 2.42e-04 | 5.10e-03 2.69e-04 | 6.46e-03 4.61e-04 | 1.41e-02 7.40e-04 |
F24 | 30 | 1.03e-03 5.70e-05 | 1.48e-02 1.28e-04 | 1.32e-02 5.61e-04 | 7.64e-03 4.90e-04 | 7.67e-03 7.45e-04 | 6.47e-03 4.30e-04 | 6.19e-03 3.83e-04 | 1.31e-02 9.20e-04 | 1.03e-02 9.02e-04 | 8.11e-03 9.45e-04 |
F25 | 30 | 1.92e-03 3.05e-05 | 7.90e-03 9.39e-04 | 9.53e-03 3.23e-04 | 1.19e-02 4.84e-04 | 5.09e-03 9.43e-04 | 1.06e-02 9.25e-04 | 8.26e-03 3.80e-04 | 1.36e-02 5.66e-04 | 1.08e-02 8.60e-04 | 1.13e-02 4.34e-04 |
F26 | 30 | 1.57e-03 9.97e-05 | 1.32e-02 5.48e-04 | 1.11e-02 3.06e-04 | 6.75e-03 1.51e-04 | 6.85e-03 5.67e-04 | 8.14e-03 4.14e-04 | 5.87e-03 3.16e-04 | 7.27e-03 6.17e-04 | 1.20e-02 2.57e-04 | 9.14e-03 6.98e-04 |
F27 | 30 | 1.01e-03 4.18e-05 | 5.94e-03 6.69e-04 | 1.10e-02 7.91e-04 | 1.40e-02 9.76e-04 | 5.65e-03 7.02e-04 | 1.48e-02 2.51e-04 | 1.32e-02 4.38e-04 | 1.09e-02 9.78e-04 | 9.52e-03 5.29e-04 | 5.32e-03 8.42e-04 |
F28 | 30 | 1.77e-03 2.17e-05 | 1.26e-02 3.81e-04 | 6.38e-03 5.17e-04 | 9.57e-03 7.79e-04 | 8.20e-03 5.54e-04 | 9.69e-03 5.72e-04 | 9.92e-03 2.98e-04 | 1.23e-02 4.05e-04 | 1.48e-02 7.06e-04 | 5.11e-03 2.12e-04 |
F29 | 30 | 1.67e-03 4.17e-05 | 9.49e-03 6.21e-04 | 1.17e-02 6.84e-04 | 5.13e-03 8.47e-04 | 1.41e-02 3.47e-04 | 1.31e-02 8.73e-04 | 5.23e-03 1.05e-04 | 1.02e-02 5.36e-04 | 1.14e-02 6.04e-04 | 1.19e-02 7.06e-04 |
F30 | 30 | 1.03e-03 2.00e-05 | 1.31e-02 2.79e-04 | 1.27e-02 2.99e-04 | 7.90e-03 7.70e-04 | 8.54e-03 2.28e-04 | 1.25e-02 7.60e-04 | 1.36e-02 7.91e-04 | 6.95e-03 3.78e-04 | 7.14e-03 4.39e-04 | 9.28e-03 2.93e-04 |