Abstract

PEREZ DE LA CRUZ, Carlos  and  RAMIREZ RODRIGUEZ, Javier. A genetic algorithm in a schedule problem with special constraints. Rev. Mat [online]. 2011, vol.18, n.2, pp.215-229. ISSN 1409-2433.

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.

Keywords : timetabling; special constrains; heuristics.

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