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makeGriewankFunction

Griewank Function


Description

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

f(\mathbf{x}) = ∑_{i=1}^{n} \frac{\mathbf{x}_i^2}{4000} - ∏_{i=1}^{n} \cos≤ft(\frac{\mathbf{x}_i}{√{i}}\right) + 1

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


smoof

Single and Multi-Objective Optimization Test Functions

v1.6.0.2
BSD_2_clause + file LICENSE
Authors
Jakob Bossek [aut, cre], Pascal Kerschke [ctb]
Initial release
2020-02-17

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