Please use this identifier to cite or link to this item: http://www.repositorio.ufop.br/handle/123456789/9267
Title: Integer programming techniques for educational timetabling.
Authors: Fonseca, George Henrique Godim da
Santos, Haroldo Gambini
Carrano, Eduardo Gontijo
Stidsen, Thomas Jacob Riis
Keywords: Timetabling
Programming formulation
Integer
Issue Date: 2017
Citation: FONSECA, G. H. G. da et al. Integer programming techniques for educational timetabling. European Journal of Operational Research, v. 262, p. 28-39, out. 2017. Disponível em: <http://www.sciencedirect.com/science/article/pii/S0305054816300879>. Acesso em: 02 out. 2017.
Abstract: Educational timetabling problems require the assignment of times and resources to events, while sets of required and desirable constraints must be considered. The XHSTT format was adopted in this work because it models the main features of educational timetabling and it is the most used format in recent studies in the field. This work presents new cuts and reformulations for the existing integer programming model for XHSTT. The proposed cuts improved hugely the linear relaxation of the formulation, leading to an average gap reduction of 32%. Applied to XHSTT-2014 instance set, the alternative formulation pro- vided four new best known lower bounds and, used in a matheuristic framework, improved eleven best known solutions. The computational experiments also show that the resulting integer programming mod- els from the proposed formulation are more effectively solved for most of the instances.
URI: http://www.repositorio.ufop.br/handle/123456789/9267
metadata.dc.identifier.uri2: http://www.sciencedirect.com/science/article/pii/S0305054816300879
ISSN: 03772217
Appears in Collections:DECSI - Artigos publicados em periódicos

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