函数表达式

维数

区间

最优解

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

30

[−100, 100]

0

$f_2\left(x\right)={{{\displaystyle \sum }}^{\text{}}}_{i=1}^n\left|x_i\right|+{{{\displaystyle \prod }}^{\text{}}}_{i=1}^n\left|x_i\right|$

30

[−10, 10]

0

$f_3\left(x\right)={\displaystyle {\sum }_{i=1}^n{\left({\displaystyle {\sum }_{j-1}^i{x}_j}\right)}^2}$

30

[−100, 100]

0

$f_4\left(x\right)={{{\displaystyle \sum }}^{\text{}}}_{i=1}^n\left[x_i^2-10\cos \left(2\pi x_i\right)+10\right]$

30

[−5.12, 5.12]

0

$\begin{array}{c}{f}_5\left(x\right)=-20\exp \left(-0.2\sqrt{\frac{1}{n}{\displaystyle {\sum }_{i=1}^n{x}_i^2}}\right)\\ -\exp \left(\frac{1}{n}{\displaystyle {\sum }_{i=1}^n\cos \left(2\pi x_i\right)}\right)+20+e\end{array}$

30

[−100, 100]

0

$f_6\left(x\right)=\frac{1}{4000}{\displaystyle {\sum }_{i=1}^n{x}_i^2}-{\displaystyle {\prod }_{i=1}^n\cos \left(\frac{x_i}{\sqrt{i}}\right)}+1$

30

[−600, 600]

0