The Role of Metaheuristics as Solutions Generators

Optimization problems are ubiquitous nowadays. Many times, their corresponding computational models necessarily leave out of consideration several characteristics and features of the real world, so trying to obtain the optimum solution can not be enough for a problem solving point of view. The aim o...

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Autores principales: Hanane El Raoui, Marcelino Cabrera-Cuevas, David A. Pelta
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Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:547c13d2256f414db6be048b810707162021-11-25T19:06:12ZThe Role of Metaheuristics as Solutions Generators10.3390/sym131120342073-8994https://doaj.org/article/547c13d2256f414db6be048b810707162021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2034https://doaj.org/toc/2073-8994Optimization problems are ubiquitous nowadays. Many times, their corresponding computational models necessarily leave out of consideration several characteristics and features of the real world, so trying to obtain the optimum solution can not be enough for a problem solving point of view. The aim of this paper is to illustrate the role of metaheuristics as solutions’ generators in a basic problem solving framework. Metaheuristics become relevant in two modes: firstly because every run (in the case of population based techniques) allows to obtain a set of potentially good solutions, and secondly, if a reference solution is available, one can set up a new optimization problem that allows to obtain solutions with similar quality in the objectives space but maximally different structure in the design space. Once a set of solutions is obtained, an example of an a posteriori analysis to rank them according with decision maker’s preferences is shown. All the problem solving framework steps, emphasizing the role of metaheuristics are illustrated with a dynamic version of the tourist trip design problem (for the first mode), and with a perishable food distribution problem (for the second one). These examples clearly show the benefits of the problem solving framework proposed. The potential role of the symmetry concept is also explored.Hanane El RaouiMarcelino Cabrera-CuevasDavid A. PeltaMDPI AGarticlemetaheuristicsoptimizationtourist trip designvehicle routingMathematicsQA1-939ENSymmetry, Vol 13, Iss 2034, p 2034 (2021)
institution DOAJ
collection DOAJ
language EN
topic metaheuristics
optimization
tourist trip design
vehicle routing
Mathematics
QA1-939
spellingShingle metaheuristics
optimization
tourist trip design
vehicle routing
Mathematics
QA1-939
Hanane El Raoui
Marcelino Cabrera-Cuevas
David A. Pelta
The Role of Metaheuristics as Solutions Generators
description Optimization problems are ubiquitous nowadays. Many times, their corresponding computational models necessarily leave out of consideration several characteristics and features of the real world, so trying to obtain the optimum solution can not be enough for a problem solving point of view. The aim of this paper is to illustrate the role of metaheuristics as solutions’ generators in a basic problem solving framework. Metaheuristics become relevant in two modes: firstly because every run (in the case of population based techniques) allows to obtain a set of potentially good solutions, and secondly, if a reference solution is available, one can set up a new optimization problem that allows to obtain solutions with similar quality in the objectives space but maximally different structure in the design space. Once a set of solutions is obtained, an example of an a posteriori analysis to rank them according with decision maker’s preferences is shown. All the problem solving framework steps, emphasizing the role of metaheuristics are illustrated with a dynamic version of the tourist trip design problem (for the first mode), and with a perishable food distribution problem (for the second one). These examples clearly show the benefits of the problem solving framework proposed. The potential role of the symmetry concept is also explored.
format article
author Hanane El Raoui
Marcelino Cabrera-Cuevas
David A. Pelta
author_facet Hanane El Raoui
Marcelino Cabrera-Cuevas
David A. Pelta
author_sort Hanane El Raoui
title The Role of Metaheuristics as Solutions Generators
title_short The Role of Metaheuristics as Solutions Generators
title_full The Role of Metaheuristics as Solutions Generators
title_fullStr The Role of Metaheuristics as Solutions Generators
title_full_unstemmed The Role of Metaheuristics as Solutions Generators
title_sort role of metaheuristics as solutions generators
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/547c13d2256f414db6be048b81070716
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