Branin RCOS function
Popular 2-dimensional single-objective test function based on the formula:
f(\mathbf{x}) = a ≤ft(\mathbf{x}_2 - b \mathbf{x}_1^2 + c \mathbf{x_1} - d\right)^2 + e≤ft(1 - f\right)\cos(\mathbf{x}_1) + e,
where a = 1, b = \frac{5.1}{4π^2}, c = \frac{5}{π}, d = 6, e = 10 and f = \frac{1}{8π}. The box constraints are given by \mathbf{x}_1 \in [-5, 10] and \mathbf{x}_2 \in [0, 15]. The function has three global minima.
makeBraninFunction()
[smoof_single_objective_function]
F. H. Branin. Widely convergent method for finding multiple solutions of simultaneous nonlinear equations. IBM J. Res. Dev. 16, 504-522, 1972.
library(ggplot2) fn = makeBraninFunction() print(fn) print(autoplot(fn, show.optimum = TRUE))
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