Research Article
An Efficient Algorithm for Unconstrained Optimization
Table 2
Time and efficiency.
| ā | Function(dimension) | Part. | Mean Eff. | Time (sec) | Mean Iter. |
| 43 | Rastrigin(100) | 24 | 1.000000 | 2.07 | 262.50 | 44 | Rastrigin(3) | 24 | 0.999920 | 5.56 | 542.21 | 45 | Rastrigin(30) | 24 | 1.000000 | 2.03 | 265.33 | 46 | Rastrigin(6) | 24 | 1.000000 | 1.84 | 245.08 | 47 | Rosenbrock(10) | 24 | 1.000000 | 1.64 | 218.04 | 48 | Rosenbrock(100) | 24 | 0.966926 | 2.32 | 674.92 | 49 | Rosenbrock(2) | 24 | 1.000000 | 0.24 | 26.33 | 50 | Rosenbrock(30) | 12 | 0.999706 | 1.68 | 258.35 | 51 | Rosenbrock(6) | 24 | 1.000000 | 2.77 | 241.67 | 52 | Rotated Hyper-Ellipsoid(12) | 3 | 1.000000 | 1.21 | 361.04 | 53 | Rotated Hyper-Ellipsoid(120) | 3 | 1.000000 | 1.25 | 323.78 | 54 | Rotated Hyper-Ellipsoid(2) | 240 | 1.000000 | 4.66 | 20.33 | 55 | Schaffer2(2) | 240 | 1.000000 | 4.68 | 21.17 | 56 | Schwefel 26(100) | 120 | 0.924108 | 16.26 | 490.50 | 57 | Schwefel 26(2) | 120 | 0.994103 | 15.93 | 499.00 | 58 | Shekel(4) | 60 | 0.999580 | 5.36 | 322.50 | 59 | Shubert(2) | 240 | 1.000000 | 4.45 | 14.08 | 60 | Six-Hump Camel(2) | 12 | 0.999974 | 2.73 | 499.00 | 61 | Sphere(12) | 3 | 1.000000 | 1.02 | 303.42 | 62 | Sphere(120) | 3 | 1.000000 | 1.08 | 315.79 | 63 | Sphere(2) | 240 | 1.000000 | 4.58 | 16.96 | 64 | Styblinski-Tang(12) | 3 | 0.999900 | 1.81 | 499.00 | 65 | Styblinski-Tang(120) | 3 | 0.999884 | 1.96 | 499.00 | 66 | Styblinski-Tang(2) | 24 | 0.999905 | 0.24 | 25.17 | 67 | Sum of Different Powers(12) | 3 | 1.000000 | 0.73 | 213.79 | 68 | Sum of Different Powers(120) | 3 | 1.000000 | 0.98 | 277.65 | 69 | Sum of Different Powers(2) | 240 | 1.000000 | 15.37 | 193.75 | 70 | Sum Squares(12) | 3 | 1.000000 | 0.91 | 262.38 | 71 | Sum Squares(120) | 3 | 1.000000 | 1.03 | 297.25 | 72 | Sum Squares(2) | 24 | 1.000000 | 0.16 | 15.38 | 73 | Three-Hump Camel(2) | 240 | 1.000000 | 4.54 | 17.29 | 74 | Trid(10) | 48 | 0.993918 | 10.11 | 499.00 | 75 | Trid(6) | 240 | 0.996842 | 32.12 | 499.00 | 76 | Xin She Yang02(12) | 48 | 1.000000 | 5.18 | 157.92 | 77 | Xin She Yang02(120) | 48 | 1.000000 | 6.86 | 254.54 | 78 | Xin She Yang02(2) | 48 | 1.000000 | 4.83 | 148.83 | 79 | Xin She Yang03(2) (1.08) | 3 | 1.000000 | 0.55 | 160.33 | 80 | Zakharov(12) | 3 | 1.000000 | 1.15 | 357.21 | 81 | Zakharov(120) | 3 | 0.999958 | 1.35 | 430.13 | 82 | Zakharov(2) | 240 | 1.000000 | 4.55 | 17.75 |
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The overall success of different global optimizers according to Gavana [18].
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