An introduction to chaos-based algorithms for numerical optimization

Use of chaotic sequences as part of optimization algorithms is a novel approach to the problem. In this paper, we present, review, discuss and analyze the main chaos optimization algorithms used when the objective function is defined in a compact domain. We found that the algorithms developed in the...

Full description

Autores:
Velásquez Henao, Juan David
Tipo de recurso:
Article of journal
Fecha de publicación:
2011
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/38730
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/38730
http://bdigital.unal.edu.co/28827/
Palabra clave:
Chaos optimization algorithms
nonlinear test functions
minimization
evaluation of algor ithms.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:Use of chaotic sequences as part of optimization algorithms is a novel approach to the problem. In this paper, we present, review, discuss and analyze the main chaos optimization algorithms used when the objective function is defined in a compact domain. We found that the algorithms developed in the literature are composed by one or sever al building blocks: the first wave carrier block, the second wave carrier block and a gradient-based optimization block. Experimentation, allow us to conclude that first wave carrier block is unnecessary, and the successful of algorithms is due to the combination of second wave carrier block and gradient based optimization