%0 Journal Article %A Lara Velázquez, Pedro %A López Bracho, Rafael %A Ramírez Rodríguez, Javier %A Yáñez, Javier %T A model for timetabling problems with period spread constraints %D 2011 %@ 0160-5682 %U https://hdl.handle.net/20.500.14352/43672 %X The generalized robust colouring problem (GRCP) deals with a robust colouring for a given graph with a fixed number of colours, not necessarily the chromatic number and considers the distance between colours as the penalization of complementary edges. This problem provides a way to solve timetabling problems that consider 'event spread constraints' such as 'there must be at least d days between two events'. Because this problem is NP-hard, a heuristic approach is necessary to produce good solutions in a reasonable amount of time for large instances. In this work a greedy randomized adaptive search procedure (GRASP) is proposed to solve GRCP, which was used in instances to schedule course lectures requiring from 30 to 120 h per week in total, in which the bound of the optimal solution is reached in almost every instance. %~