6: Normalized Schwefel function [5]

Minimize:

$$f_{6}(\vec x)= \frac{\sum_{i=1}^D -x_i \sin(\sqrt{\vert x_i\vert})}{D}$$

With constraints:

$$-512 \le x_i \le 512, \quad i=1,\ldots,D$$

Global optimum:

$$f_{6}(\vec x^*)=-418.982887272433799807913601398$$

$${x_i}^*=420.968746, \quad i=1,\ldots,D$$

Features:

Multimodal, Additively separable

Figure 13: Schwefel function