Research Article

A Novel Hybrid Bat Algorithm with Harmony Search for Global Numerical Optimization

Table 3

Mean normalized optimization results in fourteen benchmark functions. The values shown are the minimum objective function values found by each algorithm, averaged over 100 Monte Carlo simulations.

ā€‰ACOBABBODE ESGAHSHSBAPSOSGA

F012.313.331.152.023.382.723.471.092.661.00
F0224.5825.821.588.9424.355.4515.691.0013.961.33
F033.1660.721.935.4423.853.2277.221.0025.771.42
F041.003.0E384.0E325.6E332.7E383.1E321.4E392.3E324.1E369.6E31
F051.001.1E8299.421.5E64.6E85.4E34.1E8215.515.5E7111.10
F06489.016.8E335.32308.291.8E4274.831.5E41.002.5E310.09
F078.0911.551.286.5611.876.1710.221.008.441.80
F0842.2529.012.297.5959.999.0547.851.0012.042.15
F093.1720.261.9913.5813.331.8119.921.0017.611.15
F101.753.731.382.954.931.254.221.002.481.48
F111.0519.701.837.1423.1211.1319.451.0013.222.46
F121.864.031.002.993.911.923.741.382.381.12
F1398.30150.843.8019.03226.5247.74182.321.0072.914.02
F147.73120.483.9313.31102.5611.53146.551.0063.443.28
TimE 2.741.001.321.641.671.792.331.432.031.76

*The values are normalized so that the minimum in each row is 1.00. These are not the absolute minima found by each algorithm, but the average minima found by each algorithm.