函数

维度

搜索区间

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

30

[−100, 100]

$f_2={\displaystyle {\sum }_{i=1}^n{\left({\displaystyle {\sum }_{j-1}^i{x}_j}\right)}^2}$

30

[−100, 100]

$f_3=-20\exp \left(-0.2\text{sqrt}\left(\frac{{\displaystyle {\sum }_{i=1}^n{x}_i^2}}{n}\right)\right)-\exp \left(\frac{{\displaystyle {\sum }_{i=1}^n\cos \left(2\pi x_i\right)}}{n}\right)+20+e$

30

[−32, 32]

$\begin{array}{l}{f}_4=\frac{\pi \left[10\sin \left(\pi y_1\right)+{\displaystyle {\sum }_{i=1}^n{\left(y_i-1\right)}^2\left[1+10{\sin }^2\left(\pi y_i+1\right)\right]+{\left(y_n+1\right)}^2}\right]}{n}+{\displaystyle {\sum }_{i=1}^{n}u\left(x_i,10,100,4\right)}\\ y_i=1+\frac{x_i+1}{4},u\left(x_i,a,k,m\right)=\{\begin{array}{l}k{\left(x_i-a\right)}^m,x_i>a\\ 0,-a<x_i<a\\ k{\left(-x_i-1\right)}^m,x_i<-a\end{array}\end{array}$

30

[−100, 100]

$f_5={\displaystyle {\sum }_{i=1}^n{x}_i^2}-\left({\displaystyle {\prod }_{i=1}^n\cos \left(x_i\text{sqrt}\left(i\right)\right)}+1\right)$

30

[−100, 100]

$f_6={\displaystyle {\sum }_{i=1}^n\left[x_i^2-10\cos \left(2\pi x_i\right)+10\right]}$

30

[−5.1, 5.1]