函数名

函数表达式

自变量范围

极值

Sphere

$f1={\displaystyle \sum _{i=1}^n{x}_i^2}$

[−100, 100]

0

Schwefel 2.22

$f2={\displaystyle \sum _{i=1}^n\left|x_i\right|}+{\displaystyle \prod }_{i=1}^n\left|x_i\right|$

[−10, 10]

0

Quadric

$f3={\displaystyle \sum }_{i=1}^n{\left({\displaystyle \sum }_{j=1}^i{x}_j\right)}^2$

[−1.28, 1.28]

0

Ackley

$\begin{array}{l}f4=-20\exp \left(-0.2\sqrt{\frac{1}{n}{\displaystyle \sum }_{i=1}^n{x}_i^2}\right)\\ -\exp \left(\frac{1}{n}{\displaystyle \sum }_{i=1}^n\cos \left(2\pi x_i\right)\right)+20+e\end{array}$

[−30, 30]

0

Rastrigin

$f5={\displaystyle \sum }_{i=1}^n\left(x_i^2-10\cos \left(2\pi x_i\right)+10\right)$

[−5.12, 5.12]

0

Griewank

[−600, 600]

0