makeKursaweFunction: Kursawe Function

In smoof: Single and Multi-Objective Optimization Test Functions

Kursawe Function

Description

Builds and returns the bi-objective Kursawe test problem.

The Kursawe test problem is defined as follows:

Minimize f_1(\mathbf{x}) = \sum\limits_{i = 1}^{n - 1} (-10 \cdot \exp(-0.2 \cdot \sqrt{x_i^2 + x_{i + 1}^2})),

Minimize f_2(\mathbf{x}) = \sum\limits_{i = 1}^{n} ( |x_i|^{0.8} + 5 \cdot \sin^3(x_i)),

with -5 \leq x_i \leq 5, for i = 1, 2, \ldots, n,.

Usage

makeKursaweFunction(dimensions)

Arguments

dimensions

[integer(1)] Number of decision variables.

Value

[smoof_multi_objective_function]

References

F. Kursawe. A Variant of Evolution Strategies for Vector Optimization. Proceedings of the International Conference on Parallel Problem Solving from Nature, pp. 193-197, Springer, 1990.

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