makeGriewankFunction {smoof}

Griewank Function

Description

Highly multimodal function with a lot of regularly distributed local minima. The corresponding formula is:

f(\mathbf{x}) = \sum_{i=1}^{n} \frac{\mathbf{x}_i^2}{4000} - \prod_{i=1}^{n} \cos\left(\frac{\mathbf{x}_i}{\sqrt{i}}\right) + 1

subject to \mathbf{x}_i \in [-100, 100], i = 1, \ldots, n.

Usage

makeGriewankFunction(dimensions)

Arguments

dimensions

[integer(1)]
Size of corresponding parameter space.

Value

[smoof_single_objective_function]

References

A. O. Griewank, Generalized Descent for Global Optimization, Journal of Optimization Theory and Applications, vol. 34, no. 1, pp. 11-39, 1981.