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A model for timetabling problems with period spread constraints

P Lara-Velázquez, R López-Bracho (), J Ramírez-Rodríguez () and J Yáñez
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P Lara-Velázquez: Departamento de Sistemas, Universidad Autónoma Metropolitana–Azcapotzalco
R López-Bracho: Departamento de Sistemas, Universidad Autónoma Metropolitana–Azcapotzalco
J Ramírez-Rodríguez: Departamento de Sistemas, Universidad Autónoma Metropolitana–Azcapotzalco
J Yáñez: Universidad Complutense de Madrid

Journal of the Operational Research Society, 2011, vol. 62, issue 1, 217-222

Abstract: Abstract 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.

Keywords: heuristics; lecture-timetabling; robust colouring (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1057/jors.2009.173

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