函数表达式

维度

取值范围

$F_{\min }$

$F_1\left(x\right)={\displaystyle \sum _{i=1}^N{x}_i^2}$

30

$\left[-100,100\right]$

0

$F_{\text{2}}\left(x\right)={\displaystyle \sum _{i=1}^N\left|x_i\right|}\text{+}{\displaystyle \prod _{i=1}^N\left|x_i\right|}$

30

$\left[-100,100\right]$

0

$F_3\left(x\right)={{\displaystyle \sum _{i=1}^N\left({\displaystyle \sum _{j=1}^i{x}_j}\right)}}^2$

30

$\left[-100,100\right]$

0

$F_{\text{4}}\left(x\right)=\max \left|x_i\right|,1\le i\le N$

30

$\left[-100,100\right]$

0

$F_{\text{5}}\left(x\right)={\displaystyle \sum _{i=1}^N\left[x_i^2-10\cos \left(2\pi x_i\right)+10\right]}$

30

$\left[-100,100\right]$

0

$\begin{array}{l}{F}_{\text{6}}\left(x\right)=-20\exp \left(-0.2\sqrt{\frac{1}{30}{\displaystyle \sum _{i=1}^{30}{x}_i{}^2}}\right)\\ -\exp \left(\frac{1}{30}{\displaystyle \sum _{i=1}^{30}\cos \left(2\pi x_i\right)}\right)+20+e\end{array}$

30

$\left[-100,100\right]$

0

$F_{\text{7}}\left(x\right)=\frac{1}{4000}{\displaystyle \sum _{i=1}^N{x}_i{}^2}-{\displaystyle \prod _{i=1}^N\cos \left(\frac{x_i}{\sqrt{i}}\right)}+1$

30

$\left[-600,600\right]$

0