函数名

测试函数

维数

范围

最优值

Sphere

$f_1\left(x\right)={\displaystyle \sum _{i=1}^n{x}_i^2}$

25

[−100, 100]

0

Rosenbrock

$f_2\left(x\right)={\displaystyle \sum _{i=1}^{n-1}\left[100{\left(x_{i+1}-x_i^2\right)}^2+{\left(1-x_i\right)}^2\right]}$

25

[−1024, 1024]

0

Rastrigin

$f_3\left(x\right)={\displaystyle \sum _{i=1}^n\left[x_i^2-10\cos \left(2\pi x_i\right)+10\right]}$

25

[−5.12, 5.12]

0

Griewank

$f_4\left(x\right)={\displaystyle \sum _{i=1}^n\frac{{\left(x_i\right)}^2}{4000}}-{\displaystyle \prod _{i=1}^n\cos \left(x_i/\sqrt{i}\right)+1}$

25

[−600, 600]

0

Schafferf7

$f_5\left(x\right)={\displaystyle \sum _{i=1}^{n-1}{\left(x_i^2+x_{i+1}^2\right)}^{0.25}\left[{\sin }^2\left(50{\left(x_i^2+x_{i+1}^2\right)}^{0.1}\right)+1\right]}$

25

[−10, 10]

0