Objective Function

Range

Dimension

F_minmun

F1

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

[−100, 100]

10

0

F2

$F_2\left(x\right)={\displaystyle \sum _{i=1}^m\left|x_i\right|}+{\displaystyle \prod _{i=1}^m\left|x_i\right|}$

[−10, 10]

10

0

F3

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

[−100, 100]

10

0

F4

$F_4\left(x\right)=\max \left\{\left|x_i\right|,1\le i\le m\right\}$

[−100, 100]

10

0

F5

$F_5\left(x\right)={\displaystyle \sum _{i=1}^{n-1}\left(x_i^{x_{i+1}+1}+x_{i+1}^{x_i+1}\right)}$

[−1, 4]

10

0

F6

$F_6\left(x\right)=-20\exp \left(-0.2\sqrt{\frac{1}{D}{\displaystyle \sum _{i=1}^D{x}_i^2}}\right)-\exp \left(\frac{1}{D}{\displaystyle \sum _{i=1}^D\cos \left(2\pi x_i\right)}\right)+20+e$

[−100, 100]

10

0

F7

$F_7\left(x\right)={\displaystyle \sum _{i=1}^{D-1}{\left(x_i^2\right)}^{x_{i+1}^2+1}+{\left(x_{i+1}^2\right)}^{x_i^2+1}}$

[−1.28, 1.28]

10

0

F8

$F_8\left(x\right)={\displaystyle \sum _{i=1}^D{\left|x_i\right|}^{i+1}}$

[−5, 5]

10

0

F9

$F_9\left(x\right)={\displaystyle \sum _{i=1}^D\frac{x_i^2}{4000}}-{\displaystyle \prod _{i=1}^D\cos \left(\frac{x_i}{\sqrt{i}}\right)}+1$

[−5.12, 5.12]

10

0

F10

$F_{10}\left(x\right)=1-\cos \left(2\pi \sqrt{{\displaystyle \sum _{i=1}^D{x}_i^2}}\right)+0.1\sqrt{{\displaystyle \sum _{i=1}^D{x}_i^2}}$

[−32, 32]

10

0