常见测试函数

CEC上有很多这类函数，但是国内好像访问不了。但是可以百度得到，这里总结一些：

这个链接有更详细的函数介绍：http://www.sfu.ca/~ssurjano/optimization.html

1. Ackley Function
2. Bukin Function N. 6
3. Cross-in-Tray Function
4. Drop-Wave Function
5. Eggholder Function
6. Gramacy & Lee (2012) Function
7. Griewank Function
8. Holder Table Function
9. Langermann Function
10. Levy Function
11. Levy Function N. 13
12. Rastrigin Function
13. Schaffer Function N. 2
14. Schaffer Function N. 4
15. Schwefel Function
16. Shubert Function
17. Bohachevsky Functions
18. Perm Function 0, d, β
19. Rotated Hyper-Ellipsoid Function
20. Sphere Function
21. Sum of Different Powers Function
22. Sum Squares Function
23. Trid Function
24. Booth Function
25. Matyas Function
26. McCormick Function
27. Power Sum Function
28. Zakharov Function
29. Three-Hump Camel Function
30. Six-Hump Camel Function
31. Dixon-Price Function
32. Rosenbrock Function
33. De Jong Function N. 5
34. Easom Function
35. Michalewicz Function
36. Beale Function
37. Branin Function
38. Colville Function
39. Forrester et al. (2008) Function
40. Goldstein-Price Function
41. Hartmann 3-D Function
42. Hartmann 4-D Function
43. Hartmann 6-D Function
44. Perm Function d, β
45. Powell Function
46. Shekel Function
47. Styblinski-Tang Function

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1）单目标

Functions	Function expressions	space	Global minimum	Dimension
h1		(-0.5,0.5)	0	100
Step		(-100,100)	0	100
Rastrigin		(-5.12,5.12)	0	100
Sphere		(-5.12,5.12)	0	100
h5		(-1,2)	≈-1.85n	100
h6		(3,13)	≈-1.21598n	100
Ackley		(-30,30)	0	100
Schwefel		(-500,500)	0	100
h9		(-5.12,5.12)	0	100
Griewank		(-600,600)	0	100
Michalewicz		(0,)	-9.66	10
Rosenbrock		(-30,30)	0	30
Schwefel2.21		(-100,100)	0	30
h14		(-1.28,1.28)	0	30
Quartic with noise		(-100,100)	0	30
h16		(-10,10)	0	30

2）多目标

ZDT1 

 

ZDT2

 

 ZDT3

 

ZDT4