Research Article

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

Table 4

Best normalized optimization results in fourteen benchmark functions. The values shown are the minimum objective function values found by each algorithm.

ā€‰ACOBABBODE ESGAHSHSBAPSOSGA

F011.852.311.001.432.252.032.301.051.911.04
F0210.4214.481.094.2210.394.039.911.008.281.33
F032.7346.221.874.4721.388.0243.241.0016.751.76
F044.4E65.0E61.2E31.9E42.2E63.0E44.2E61.003.7553.22
F053.0E43.2E451.01386.331.6E4884.462.6E41.004.1134.57
F0658.51992.556.5024.69808.4859.24746.911.00189.712.02
F075.718.531.255.137.945.237.471.006.001.68
F0826.4225.031.483.7033.526.1621.501.007.751.45
F092.438.661.284.905.932.097.281.007.401.42
F101.894.941.182.663.002.082.761.002.011.74
F117.7412.611.213.3612.146.019.601.007.811.62
F121.332.331.441.692.081.742.111.001.701.21
F1328.0456.572.175.5460.5719.7152.861.0020.982.28
F144.2854.021.974.8533.6110.6049.111.0019.721.85

*The values are normalized so that the minimum in each row is 1.00. These are the absolute best minima found by each algorithm.