makeDentFunction: Dent Function

In smoof: Single and Multi-Objective Optimization Test Functions

Dent Function

Description

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

f(\mathbf{x}) = \left(f_1(\mathbf{x}_1), f_2(\mathbf{x})\right)

with

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

and

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

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

Usage

makeDentFunction()

Value

[smoof_multi_objective_function]

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