Abstract:
The Equitable Coloring Problem is a variant of the Graph Coloring Problem where the sizes of two arbitrary color classes differ in at most one unit. This additional condition, called equity constraints, arises naturally in several applications. Due to the hardness of the problem, current exact algorithms can not solve large-sized instances. Such instances must be addressed only via heuristic methods. In this paper we present a tabu search heuristic for the Equitable Coloring Problem. This algorithm is an adaptation of the dynamic TabuCol version of Galinier and Hao. In order to satisfy equity constraints, new local search criteria are given. Computational experiments are carried out in order to find the best combination of parameters involved in the dynamic tenure of the heuristic. Finally, we show the good performance of our heuristic over known benchmark instances. © 2014 Springer International Publishing.
Registro:
Documento: |
Artículo
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Título: | A tabu search heuristic for the equitable coloring problem |
Autor: | Méndez Díaz, I.; Nasini, G.; Severín, D.; Associacao Portuguesa de Investigacao Operacional; de Lisboa, Centro de Investigacao Operacional; Faculdade de Ciencias da Universidade; Fundacao para a Ciencia e a Tecnologia; Instituto Nacional de Estatistica; Universite Paris-Dauphine, LAMSADE |
Ciudad: | Lisbon |
Filiación: | Facultad de Ciencias Exactas, Ingeniería Y Agrimensura, Universidad Nacional de Rosario, Rosario, Argentina CONICET, Rosario, Argentina Facultad de Ciencias Exactas Y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
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Palabras clave: | Combinatorial optimization; Equitable coloring; Tabu search; Benchmarking; Combinatorial optimization; Heuristic algorithms; Heuristic methods; Arbitrary color; Computational experiment; Equitable coloring; Exact algorithms; Graph coloring problem; Large-sized; Local search; Tabu Search heuristic; Tabu search |
Año: | 2014
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Volumen: | 8596 LNCS
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Página de inicio: | 347
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Página de fin: | 358
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DOI: |
http://dx.doi.org/10.1007/978-3-319-09174-7_30 |
Título revista: | 3rd International Symposium on Combinatorial Optimization, ISCO 2014
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Título revista abreviado: | Lect. Notes Comput. Sci.
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ISSN: | 03029743
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v8596LNCS_n_p347_MendezDiaz |
Referencias:
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- Graph Coloring Benchmark Instances, , http://www.cs.hbg.psu.edu/txn131/graphcoloring.htmlA4 - Associacao Portuguesa de Investigacao Operacional; de Lisboa, Centro de Investigacao Operacional; Faculdade de Ciencias da Universidade; Fundacao para a Ciencia e a Tecnologia; Instituto Nacional de Estatistica; Universite Paris-Dauphine, LAMSADE
Citas:
---------- APA ----------
Méndez Díaz, I., Nasini, G., Severín, D. & Associacao Portuguesa de Investigacao Operacional; de Lisboa, Centro de Investigacao Operacional; Faculdade de Ciencias da Universidade; Fundacao para a Ciencia e a Tecnologia; Instituto Nacional de Estatistica; Universite Paris-Dauphine, LAMSADE
(2014)
. A tabu search heuristic for the equitable coloring problem. 3rd International Symposium on Combinatorial Optimization, ISCO 2014, 8596 LNCS, 347-358.
http://dx.doi.org/10.1007/978-3-319-09174-7_30---------- CHICAGO ----------
Méndez Díaz, I., Nasini, G., Severín, D., Associacao Portuguesa de Investigacao Operacional; de Lisboa, Centro de Investigacao Operacional; Faculdade de Ciencias da Universidade; Fundacao para a Ciencia e a Tecnologia; Instituto Nacional de Estatistica; Universite Paris-Dauphine, LAMSADE
"A tabu search heuristic for the equitable coloring problem"
. 3rd International Symposium on Combinatorial Optimization, ISCO 2014 8596 LNCS
(2014) : 347-358.
http://dx.doi.org/10.1007/978-3-319-09174-7_30---------- MLA ----------
Méndez Díaz, I., Nasini, G., Severín, D., Associacao Portuguesa de Investigacao Operacional; de Lisboa, Centro de Investigacao Operacional; Faculdade de Ciencias da Universidade; Fundacao para a Ciencia e a Tecnologia; Instituto Nacional de Estatistica; Universite Paris-Dauphine, LAMSADE
"A tabu search heuristic for the equitable coloring problem"
. 3rd International Symposium on Combinatorial Optimization, ISCO 2014, vol. 8596 LNCS, 2014, pp. 347-358.
http://dx.doi.org/10.1007/978-3-319-09174-7_30---------- VANCOUVER ----------
Méndez Díaz, I., Nasini, G., Severín, D., Associacao Portuguesa de Investigacao Operacional; de Lisboa, Centro de Investigacao Operacional; Faculdade de Ciencias da Universidade; Fundacao para a Ciencia e a Tecnologia; Instituto Nacional de Estatistica; Universite Paris-Dauphine, LAMSADE A tabu search heuristic for the equitable coloring problem. Lect. Notes Comput. Sci. 2014;8596 LNCS:347-358.
http://dx.doi.org/10.1007/978-3-319-09174-7_30