a genetic algorithm in a schedule problem with special constraints

Ramírez (2001) introduced the generalized robust coloring problem (GRCP), this problem lets solve timetabling problems which considers constraints such as: two events can not be assigned at the same time and there must be at least d days between two events.The GRCP deals with a robust coloring for a...

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Bibliographic Details
Main Authors: Carlos Pérez de la Cruz, Javier Ramírez Rodríguez
Format: Article
Language:English
Published: Universidad de Costa Rica 2011-07-01
Series:Revista de Matemática: Teoría y Aplicaciones
Online Access:https://revistas.ucr.ac.cr/index.php/matematica/article/view/2095
Description
Summary:Ramírez (2001) introduced the generalized robust coloring problem (GRCP), this problem lets solve timetabling problems which considers constraints such as: two events can not be assigned at the same time and there must be at least d days between two events.The GRCP deals with a robust coloring for a given graph with a fixed number of colors, not necessarily the chromatic number and considers the distance between colors as the penalization of complementary edges. It was shown that the problem is NP-complete, so it is necessary to use approximate methods to find good solutions in a reasonable time. This paper presents a hybrid of a genetic algorithm with a local search for cases of 30-120 hours per week; it is shown that for some cases the found solution is optimal and in other cases the solutions are very promising.
ISSN:2215-3373