smoof (version 1.6.0.3)

makeBohachevskyN1Function: 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 $i=1,\dots ,n$. The multimodality will be visible by “zooming in” in the plot.

Usage

makeBohachevskyN1Function(dimensions)

Value

[smoof_single_objective_function]

Arguments

dimensions

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

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.