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makeDentFunction

Dent Function


Description

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

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

with

f_1(\mathbf{x}_1) = 0.5 ≤ft( √(1 + (x_1 + x_2)^2) + √(1 + (x_1 - x_2)^2) + x_1 - x_2\right) + d

and

f_1(\mathbf{x}_1) = 0.5 ≤ft( √(1 + (x_1 + x_2)^2) + √(1 + (x_1 - x_2)^2) - x_1 + x_2\right) + d

where d = λ * \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

Single and Multi-Objective Optimization Test Functions

v1.6.0.2
BSD_2_clause + file LICENSE
Authors
Jakob Bossek [aut, cre], Pascal Kerschke [ctb]
Initial release
2020-02-17

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