makeDentFunction function

Dent Function

Builds and returns the bi-objective Dent test problem, which is defined as follows: [REMOVE_ME]$f(\mathbf{x}) = \left(f_1(\mathbf{x}_1), f_2(\mathbf{x})\right) [REMOVE_ME_2]$

with [REMOVE_ME]$f_1(\mathbf{x}_1) = 0.5 \left( \sqrt(1 + (x_1 + x_2)^2) + \sqrt(1 + (x_1 - x_2)^2) + x_1 - x_2\right) + d [REMOVE_ME_2]$

and [REMOVE_ME]$f_1(\mathbf{x}_1) = 0.5 \left( \sqrt(1 + (x_1 + x_2)^2) + \sqrt(1 + (x_1 - x_2)^2) - x_1 + x_2\right) + d [REMOVE_ME_2]$

where $d = \lambda * \exp(-(x_1 - x_2)^2)$ and $\mathbf{x}_i \in [-1.5, 1.5], i = 1, 2$.

makeDentFunction()

Returns

[smoof_multi_objective_function]

Description

Builds and returns the bi-objective Dent test problem, which is defined as follows:

with

and

where $d = \lambda * \exp(-(x_1 - x_2)^2)$ and $\mathbf{x}_i \in [-1.5, 1.5], i = 1, 2$.