Research Article
An Effective Hybrid Firefly Algorithm with Harmony Search for Global Numerical Optimization
Table 3
Best normalized optimization results.
| | | ACO | BBO | DE | ES | FA | GA | HS | HSFA | PSO | SGA |
| | F01 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | | F02 | 1.00 | 1.71 | 1.00 | 1.53 | 1.00 | 1.00 | 1.49 | 1.00 | 1.72 | 1.00 | | F03 | 1.00 | 1.28 | 1.00 | 1.12 | 1.00 | 1.00 | 1.28 | 1.00 | 1.34 | 1.13 | | F04 | | | | | | 1.00 | | | | | | F05 | 1.00 | 1.00 | 1.00 | 1.02 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | | F06 | 1.01 | 1.01 | 1.00 | 1.01 | 1.00 | 1.01 | 1.00 | 1.00 | 1.00 | 2.51 | | F07 | | | | | 1.00 | | | 2.88 | | | | F08 | 1.99 | 1.99 | 1.99 | 1.99 | 1.99 | 1.99 | 1.99 | 1.99 | 1.99 | 1.00 | | F09 | 1.00 | 1.00 | 1.00 | 1.01 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | | F10 | 2.65 | 2.65 | 2.65 | 2.74 | 2.65 | 2.65 | 2.65 | 2.65 | 2.65 | 1.00 | | F11 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.03 | | F12 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | | F13 | 8.34 | 3.93 | 7.05 | 11.02 | 1.00 | 8.71 | 11.56 | 1.54 | 9.51 | 3.98 | | F14 | 63.46 | 11.42 | 88.82 | 159.53 | 12.22 | 40.65 | 144.04 | 1.00 | 102.48 | 10.66 | | F15 | 218.30 | 9.54 | 47.47 | 591.91 | 33.50 | 128.64 | 792.73 | 1.00 | 358.64 | 9.44 | | F16 | | 109.24 | | | 1.00 | 315.53 | | 2.31 | | 43.61 | | F17 | 42.58 | 3.24 | 11.83 | 41.06 | 1.20 | 9.50 | 43.49 | 1.00 | 29.07 | 3.02 | | F18 | 7.99 | 3.62 | 13.85 | 63.26 | 1.00 | 14.42 | 160.01 | 1.08 | 37.87 | 2.32 | | F19 | | 135.16 | 893.82 | | 1.56 | 566.65 | | 1.00 | | 3.67 | | F20 | 251.29 | 32.94 | 142.30 | 720.64 | 7.96 | 131.48 | 863.43 | 1.00 | 483.70 | 23.66 | | F21 | 3.96 | 2.89 | 1.65 | 1.00 | 4.60 | 2.91 | 4.87 | 1.90 | 2.72 | 2.37 | | F22 | 31.83 | 55.55 | | | 8.26 | 89.30 | | 1.00 | | 15.15 | | F23 | 1.00 | | | | 27.10 | | | 4.89 | | 29.22 | | F24 | | 88.70 | | | 1.60 | 215.01 | | 1.00 | 940.82 | 34.50 | | F25 | | 380.11 | | | 1.00 | | | 2.01 | | 54.67 | | F26 | 39.66 | 5.65 | 30.04 | 58.39 | 6.03 | 27.36 | 42.32 | 1.00 | 38.57 | 8.91 | | F27 | 54.77 | 2.13 | 12.53 | 87.36 | 1.27 | 10.85 | 58.14 | 1.00 | 21.11 | 2.77 | | F28 | 164.45 | 67.82 | 335.75 | 447.01 | 430.29 | 85.82 | 596.00 | 1.00 | 551.44 | 68.85 | | F29 | 8.78 | 4.00 | 16.50 | 15.31 | 1.00 | 10.85 | 18.42 | 3.27 | 6.75 | 7.29 | | F30 | 63.53 | 10.38 | 27.71 | 105.79 | 7.15 | 47.04 | 88.91 | 1.00 | 58.02 | 12.83 | | F31 | 3.80 | 5.63 | 7.23 | 9.39 | 1.00 | 7.31 | 10.20 | 1.93 | 7.56 | 4.53 | | F32 | 740.24 | 30.59 | 184.72 | | 1.00 | 322.80 | | 2.87 | 725.62 | 31.00 | | F33 | 149.29 | 66.43 | 224.57 | | 3.86 | 255.71 | | 1.00 | | 42.71 | | F34 | 491.51 | 35.62 | 100.26 | | 1.64 | 113.66 | | 1.00 | 400.61 | 27.55 | | F35 | 3.44 | 2.50 | 5.89 | 6.67 | 1.00 | 4.28 | 5.48 | 1.46 | 3.83 | 3.74 | | F36 | 11.05 | 6.01 | 18.56 | 40.10 | 9.07 | 18.47 | 43.18 | 1.00 | 31.18 | 4.64 |
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The bold data are the best function value among different methods for the specified function.
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