makeBohachevskyN1Function: Bohachevsky function N. 1

In smoof: Single and Multi-Objective Optimization Test Functions

Bohachevsky function N. 1

Description

Highly multimodal single-objective test function. The mathematical formula is given by

f(\mathbf{x}) = \sum_{i = 1}^{n - 1} (\mathbf{x}_i^2 + 2 \mathbf{x}_{i + 1}^2 - 0.3\cos(3\pi\mathbf{x}_i) - 0.4\cos(4\pi\mathbf{x}_{i + 1}) + 0.7)

with box-constraints \mathbf{x}_i \in [-100, 100] for i = 1, \ldots, n. The multimodality will be visible by “zooming in” in the plot.

Usage

makeBohachevskyN1Function(dimensions)

Arguments

dimensions

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

Value

[smoof_single_objective_function]

References

I. O. Bohachevsky, M. E. Johnson, M. L. Stein, General Simulated Annealing for Function Optimization, Technometrics, vol. 28, no. 3, pp. 209-217, 1986.

smoof documentation built on March 31, 2023, 11:48 p.m.