On metaheuristics for solving the parameter estimation problem in dynamic systems: a comparative study
type: Item
instance of: scholarly article
title: On metaheuristics for solving the parameter estimation problem in dynamic systems: a comparative study
zbMATH Open document ID: 1464.37087
DOI: 10.1155/2018/3213484
author: Gisela C. V. Ramadas
author: Edite M. G. P. Fernandes
author: António M. V. Ramadas
author: Ana Maria A. C. Rocha
author: M. Fernanda P. Costa
published in: Journal of Optimization
publication date: 2018-08-15T00:00:00Z
review text: Summary: This paper presents an experimental study that aims to compare the practical performance of well-known metaheuristics for solving the parameter estimation problem in a dynamic systems context. The metaheuristics produce good quality approximations to the global solution of a finite small-dimensional nonlinear programming problem that emerges from the application of the sequential numerical direct method to the parameter estimation problem. Using statistical hypotheses testing, significant differences in the performance of the metaheuristics, in terms of the average objective function values and average CPU time, are determined. Furthermore, the best obtained solutions are graphically compared in relative terms by means of the performance profiles. The numerical comparisons with other results in the literature show that the tested metaheuristics are effective in achieving good quality solutions with a reduced computational effort.
Mathematics Subject Classification ID: 37M99
Mathematics Subject Classification ID: 65P99
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 90C59
zbMATH DE Number: 6918484
zbMATH Keywords: metaheuristics
zbMATH Keywords: sequential numerical direct method
zbMATH Keywords: nonlinear programming
describes a project that uses: ABC
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3213484
OpenAlex ID: W2787339259
Wikidata QID: Q57573461
cites work: Q3106835
cites work: Nonlinear Programming
cites work: Handbook of test problems in local and global optimization
cites work: Metaheuristics—the metaphor exposed
cites work: Encyclopedia of Operations Research and Management Science
cites work: Future paths for integer programming and links to artificial intelligence
cites work: Stochastic global optimization.
cites work: Scatter search for chemical and bio-process optimization
cites work: Q4464655
cites work: Firefly Algorithms for Multimodal Optimization
cites work: Differential evolution -- a simple and efficient heuristic for global optimization over continuous spaces
cites work: A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm
cites work: Tabu search directed by direct search methods for nonlinear global optimization
cites work: `` Direct Search'' Solution of Numerical and Statistical Problems
cites work: A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice
cites work: An improved harmony search algorithm for solving optimization problems
cites work: Taboo Search: An Approach to the Multiple Minima Problem
cites work: Approximations of the critical region of the fbietkan statistic
cites work: Q3093335
cites work: Benchmarking optimization software with performance profiles.
description: scientific article; zbMATH DE number 6918484