Approximations on Minimum Weight Triangulations and Minimum Weight Pseudo-Triangulations Using Ant Colony Optimization Metaheuristic

Autores
Dorzán, Maria Gisela; Gagliardi, Edilma Olinda; Leguizamon, Mario Guillermo; Hernandez Peñalver, Gregorio
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Globally optimal triangulations and pseudo-triangulations are difficult to be found by deterministic methods as, for most type of criteria, no polynomial algorithm is known. In this work, we consider the Minimum Weight Triangulation (MWT) and Minimum Weight PseudoTriangulation (MWPT) problems of a given set of n points in the plane. This paper shows how the Ant Colony Optimization (ACO) metaheuristic can be used to find high quality triangulations and pseudo-triangulations of minimum weight. For the experimental study presented here we have created a set of instances for MWT and MWPT problems since no reference to benchmarks for these problems were found in the literature. Through the experimental evaluation, we assess the applicability of the ACO metaheuristic for MWT and MWPT problems considering greedy and Simulated Annealing algorithms.
Fil: Dorzán, Maria Gisela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis; Argentina. Universidad Nacional de San Luis. Facultad de Ciencias Físico- Matemáticas y Naturales; Argentina
Fil: Gagliardi, Edilma Olinda. Universidad Nacional de San Luis. Facultad de Ciencias Físico- Matemáticas y Naturales; Argentina
Fil: Leguizamon, Mario Guillermo. Universidad Nacional de San Luis. Facultad de Ciencias Físico- Matemáticas y Naturales; Argentina
Fil: Hernandez Peñalver, Gregorio. Universidad Politécnica de Madrid; España
Materia
TRIANGULATION
PSEUDO-TRIANGULATION
MINIMUM WEIGHT
ACO METAHEURISTIC
COMPUTATIONAL GEOMETRY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/158606
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Approximations on Minimum Weight Triangulations and Minimum Weight Pseudo-Triangulations Using Ant Colony Optimization MetaheuristicDorzán, Maria GiselaGagliardi, Edilma OlindaLeguizamon, Mario GuillermoHernandez Peñalver, GregorioTRIANGULATIONPSEUDO-TRIANGULATIONMINIMUM WEIGHTACO METAHEURISTICCOMPUTATIONAL GEOMETRYhttps://purl.org/becyt/ford/1.2https://purl.org/becyt/ford/1Globally optimal triangulations and pseudo-triangulations are difficult to be found by deterministic methods as, for most type of criteria, no polynomial algorithm is known. In this work, we consider the Minimum Weight Triangulation (MWT) and Minimum Weight PseudoTriangulation (MWPT) problems of a given set of n points in the plane. This paper shows how the Ant Colony Optimization (ACO) metaheuristic can be used to find high quality triangulations and pseudo-triangulations of minimum weight. For the experimental study presented here we have created a set of instances for MWT and MWPT problems since no reference to benchmarks for these problems were found in the literature. Through the experimental evaluation, we assess the applicability of the ACO metaheuristic for MWT and MWPT problems considering greedy and Simulated Annealing algorithms.Fil: Dorzán, Maria Gisela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis; Argentina. Universidad Nacional de San Luis. Facultad de Ciencias Físico- Matemáticas y Naturales; ArgentinaFil: Gagliardi, Edilma Olinda. Universidad Nacional de San Luis. Facultad de Ciencias Físico- Matemáticas y Naturales; ArgentinaFil: Leguizamon, Mario Guillermo. Universidad Nacional de San Luis. Facultad de Ciencias Físico- Matemáticas y Naturales; ArgentinaFil: Hernandez Peñalver, Gregorio. Universidad Politécnica de Madrid; EspañaIOS Press2012-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/158606Dorzán, Maria Gisela; Gagliardi, Edilma Olinda; Leguizamon, Mario Guillermo; Hernandez Peñalver, Gregorio; Approximations on Minimum Weight Triangulations and Minimum Weight Pseudo-Triangulations Using Ant Colony Optimization Metaheuristic; IOS Press; Fundamenta Informaticae; 119; 1; 1-2012; 1-270169-2968CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://content.iospress.com/articles/fundamenta-informaticae/fi119-1-02info:eu-repo/semantics/altIdentifier/doi/10.3233/FI-2012-725info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:26:59Zoai:ri.conicet.gov.ar:11336/158606instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:26:59.356CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Approximations on Minimum Weight Triangulations and Minimum Weight Pseudo-Triangulations Using Ant Colony Optimization Metaheuristic
title Approximations on Minimum Weight Triangulations and Minimum Weight Pseudo-Triangulations Using Ant Colony Optimization Metaheuristic
spellingShingle Approximations on Minimum Weight Triangulations and Minimum Weight Pseudo-Triangulations Using Ant Colony Optimization Metaheuristic
Dorzán, Maria Gisela
TRIANGULATION
PSEUDO-TRIANGULATION
MINIMUM WEIGHT
ACO METAHEURISTIC
COMPUTATIONAL GEOMETRY
title_short Approximations on Minimum Weight Triangulations and Minimum Weight Pseudo-Triangulations Using Ant Colony Optimization Metaheuristic
title_full Approximations on Minimum Weight Triangulations and Minimum Weight Pseudo-Triangulations Using Ant Colony Optimization Metaheuristic
title_fullStr Approximations on Minimum Weight Triangulations and Minimum Weight Pseudo-Triangulations Using Ant Colony Optimization Metaheuristic
title_full_unstemmed Approximations on Minimum Weight Triangulations and Minimum Weight Pseudo-Triangulations Using Ant Colony Optimization Metaheuristic
title_sort Approximations on Minimum Weight Triangulations and Minimum Weight Pseudo-Triangulations Using Ant Colony Optimization Metaheuristic
dc.creator.none.fl_str_mv Dorzán, Maria Gisela
Gagliardi, Edilma Olinda
Leguizamon, Mario Guillermo
Hernandez Peñalver, Gregorio
author Dorzán, Maria Gisela
author_facet Dorzán, Maria Gisela
Gagliardi, Edilma Olinda
Leguizamon, Mario Guillermo
Hernandez Peñalver, Gregorio
author_role author
author2 Gagliardi, Edilma Olinda
Leguizamon, Mario Guillermo
Hernandez Peñalver, Gregorio
author2_role author
author
author
dc.subject.none.fl_str_mv TRIANGULATION
PSEUDO-TRIANGULATION
MINIMUM WEIGHT
ACO METAHEURISTIC
COMPUTATIONAL GEOMETRY
topic TRIANGULATION
PSEUDO-TRIANGULATION
MINIMUM WEIGHT
ACO METAHEURISTIC
COMPUTATIONAL GEOMETRY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Globally optimal triangulations and pseudo-triangulations are difficult to be found by deterministic methods as, for most type of criteria, no polynomial algorithm is known. In this work, we consider the Minimum Weight Triangulation (MWT) and Minimum Weight PseudoTriangulation (MWPT) problems of a given set of n points in the plane. This paper shows how the Ant Colony Optimization (ACO) metaheuristic can be used to find high quality triangulations and pseudo-triangulations of minimum weight. For the experimental study presented here we have created a set of instances for MWT and MWPT problems since no reference to benchmarks for these problems were found in the literature. Through the experimental evaluation, we assess the applicability of the ACO metaheuristic for MWT and MWPT problems considering greedy and Simulated Annealing algorithms.
Fil: Dorzán, Maria Gisela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis; Argentina. Universidad Nacional de San Luis. Facultad de Ciencias Físico- Matemáticas y Naturales; Argentina
Fil: Gagliardi, Edilma Olinda. Universidad Nacional de San Luis. Facultad de Ciencias Físico- Matemáticas y Naturales; Argentina
Fil: Leguizamon, Mario Guillermo. Universidad Nacional de San Luis. Facultad de Ciencias Físico- Matemáticas y Naturales; Argentina
Fil: Hernandez Peñalver, Gregorio. Universidad Politécnica de Madrid; España
description Globally optimal triangulations and pseudo-triangulations are difficult to be found by deterministic methods as, for most type of criteria, no polynomial algorithm is known. In this work, we consider the Minimum Weight Triangulation (MWT) and Minimum Weight PseudoTriangulation (MWPT) problems of a given set of n points in the plane. This paper shows how the Ant Colony Optimization (ACO) metaheuristic can be used to find high quality triangulations and pseudo-triangulations of minimum weight. For the experimental study presented here we have created a set of instances for MWT and MWPT problems since no reference to benchmarks for these problems were found in the literature. Through the experimental evaluation, we assess the applicability of the ACO metaheuristic for MWT and MWPT problems considering greedy and Simulated Annealing algorithms.
publishDate 2012
dc.date.none.fl_str_mv 2012-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/158606
Dorzán, Maria Gisela; Gagliardi, Edilma Olinda; Leguizamon, Mario Guillermo; Hernandez Peñalver, Gregorio; Approximations on Minimum Weight Triangulations and Minimum Weight Pseudo-Triangulations Using Ant Colony Optimization Metaheuristic; IOS Press; Fundamenta Informaticae; 119; 1; 1-2012; 1-27
0169-2968
CONICET Digital
CONICET
url http://hdl.handle.net/11336/158606
identifier_str_mv Dorzán, Maria Gisela; Gagliardi, Edilma Olinda; Leguizamon, Mario Guillermo; Hernandez Peñalver, Gregorio; Approximations on Minimum Weight Triangulations and Minimum Weight Pseudo-Triangulations Using Ant Colony Optimization Metaheuristic; IOS Press; Fundamenta Informaticae; 119; 1; 1-2012; 1-27
0169-2968
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://content.iospress.com/articles/fundamenta-informaticae/fi119-1-02
info:eu-repo/semantics/altIdentifier/doi/10.3233/FI-2012-725
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOS Press
publisher.none.fl_str_mv IOS Press
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844614271426625536
score 13.070432

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