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) 241.0000002.07262.50
44 Rastrigin(3) 240.9999205.56542.21
45 Rastrigin(30) 241.0000002.03265.33
46 Rastrigin(6) 241.0000001.84245.08
47 Rosenbrock(10) 241.0000001.64218.04
48 Rosenbrock(100) 240.9669262.32674.92
49 Rosenbrock(2) 241.0000000.2426.33
50 Rosenbrock(30) 120.9997061.68258.35
51 Rosenbrock(6) 241.0000002.77241.67
52 Rotated Hyper-Ellipsoid(12) 31.0000001.21361.04
53 Rotated Hyper-Ellipsoid(120) 31.0000001.25323.78
54 Rotated Hyper-Ellipsoid(2) 2401.0000004.6620.33
55 Schaffer2(2) 2401.0000004.6821.17
56 Schwefel 26(100) 1200.92410816.26490.50
57 Schwefel 26(2) 1200.99410315.93499.00
58 Shekel(4)600.9995805.36322.50
59 Shubert(2) 2401.0000004.4514.08
60 Six-Hump Camel(2) 120.9999742.73499.00
61 Sphere(12) 31.0000001.02303.42
62 Sphere(120) 31.0000001.08315.79
63 Sphere(2) 2401.0000004.5816.96
64 Styblinski-Tang(12) 30.9999001.81499.00
65 Styblinski-Tang(120) 30.9998841.96499.00
66 Styblinski-Tang(2) 240.9999050.2425.17
67 Sum of Different Powers(12) 31.0000000.73213.79
68 Sum of Different Powers(120) 31.0000000.98277.65
69 Sum of Different Powers(2) 2401.00000015.37193.75
70 Sum Squares(12) 31.0000000.91262.38
71 Sum Squares(120) 31.0000001.03297.25
72 Sum Squares(2) 241.0000000.1615.38
73 Three-Hump Camel(2) 2401.0000004.5417.29
74 Trid(10) 480.99391810.11499.00
75 Trid(6) 2400.99684232.12499.00
76 Xin She Yang02(12) 481.0000005.18157.92
77 Xin She Yang02(120) 481.0000006.86254.54
78 Xin She Yang02(2) 481.0000004.83148.83
79 Xin She Yang03(2) (1.08) 31.0000000.55160.33
80 Zakharov(12) 31.0000001.15357.21
81 Zakharov(120) 30.9999581.35430.13
82 Zakharov(2) 2401.0000004.5517.75

The overall success of different global optimizers according to Gavana [18].