An Efficient Algorithm for Unconstrained Optimization

Table 1

Time and efficiency.

	Function(dimension)	Part.	Mean Eff.	Time (sec)	Mean Iter.
1	Ackley(10)	60	0.994679	6.99	424.63
2	Ackley(120)	3	1.000000	1.46	322.08
3	Ackley(2)	24	0.998171	0.70	58.58
4	Ackley(30)	12	1.000000	1.39	185.25
5	Ackley(6)	36	0.998272	2.37	227.00
6	Beale(2)	60	1.000000	0.58	22.88
7	Bohachevsky 1(2)	240	1.000000	4.86	21.88
8	Bohachevsky 2(2)	240	1.000000	4.71	20.42
9	Booth(2)	240	1.000000	5.01	18.71
10	Branin(2)	24	0.999960	0.50	58.46
11	Bukin6(2)	12	0.875325	2.96	499.00
12	Colville(4)	3	0.791743	2.56	749.00
13	CrossLegTable(2) (0.83)	60	0.833426	8.07	198.42
14	Cross-in-Tray(2)	3	0.999908	1.61	422.38
15	Damavandi(2) (0.25)	60	0.989719	12.42	490.25
16	DevillierGlasser02(5) (0.00)	12	1.000000	2.60	499.00
17	Drop Wave(2)	3	1.000000	0.78	223.54
18	Easom(2)	24	1.000000	0.27	17.54
19	Eggholder(2)	240	0.980028	32.87	499.00
20	Goldstein-Price(2)	60	1.000000	0.52	19.00
21	Griewank(10)	12	1.000000	1.23	185.50
22	Griewank(100)	24	1.000000	0.73	87.00
23	Griewank(2)	24	1.000000	1.53	191.04
24	Griewank(30)	12	1.000000	1.38	218.21
25	Griewank(6)	36	1.000000	1.37	86.13
26	Hartmann(3)	24	0.999999	0.57	43.50
27	Hartmann(6)	12	0.986473	2.21	399.50
28	Holder Table(2)	24	0.999863	1.79	201.79
29	Levy(12)	3	0.985893	1.75	499.00
30	Levy(120)	24	0.999918	6.07	499.00
31	Levy(2)	240	1.000000	5.53	17.92
32	Levy13(2)	240	1.000000	4.60	20.25
33	Matyas(2)	240	1.000000	4.92	17.92
34	McCormick(2)	12	0.999947	3.32	499.00
35	Michalewicz(2)	24	0.999998	0.38	39.33
36	Michalewicz(5)	120	0.957199	13.90	407.80
37	Powell(10)	12	1.000000	2.24	385.54
38	Powell(12)	3	1.000000	1.52	466.29
39	Powell(120)	3	1.000000	1.62	489.13
40	Powell(2)	3	1.000000	1.28	499.00
41	Power Sum(4)	240	0.994381	100.60	477.00
42	Rastrigin(10)	24	1.000000	1.91	252.75

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