函数名称

表达式

维度

搜索范围

极值

Sphere

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

30

[−100, 100]

0

Rastrigin

$F_2\left(x\right)={\displaystyle \sum _{i=1}^n\left[x_i^2-10\cos \left(2\pi x_i\right)+10\right]}$

30

[−5.12, 5.12]

0

Griewank

$F_3\left(x\right)=\frac{1}{4000}{\displaystyle \sum _{i=1}^n{x}_i^2}-{\displaystyle \prod _{i=1}^n\cos \left(\frac{x_i}{\sqrt{i}}\right)}+1$

30

[−600, 600]

0

Shekel

$F_4\left(x\right)=-{\displaystyle \sum _{i=1}^7{\left[\left(x-a_i\right){\left(x-a_i\right)}^{\text{T}}+c_i\right]}^{-1}}$

4

[0, 10]

−10.4028