arrow
Return

Integer programming techniques for educational timetabling

delete2017-10-01
delete29
delete
OA
AI
G
George Henrique Godim da Fonseca *
H
Haroldo Gambini Santos
E
Eduardo G. Carrano
T
Thomas Stidsen
DOI:10.1016/j.ejor.2017.03.020delete
deleteOriginal
deleteShare
deleteSave
View PDF
Abstract

Abstract

En 中文
Educational timetabling problems require the assignment of times and resources to events, while sets of required and desirable constraints must be considered. The XHSTF 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 XHS1T. 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 provided 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 models from the proposed formulation are more effectively solved for most of the instances. Published by Elsevier B.V.
Keywords:
Timetabling
Integer Programming
Formulation
AI Summary

AI Summary

Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

European Journal of Operational Research cover
European Journal of Operational Research
IF:
6
Papers:
2.2W
Citations:
6.4W

Organization

U
Universidade Federal de Ouro Preto
Scholars:
3.2K
Papers: 2.2K
Citations: 1.6K
U
Universidade Federal de Minas Gerais
Scholars:
2.5W
Papers: 1.5W
Citations: 1.4W
T
technical university of denmark
Scholars:
2.6W
Papers: 2.8W
Citations: 37
researcher View more organizations