Daily course pattern formulation and valid inequalities for the curriculum-based course timetabling problem

Niels-Christian Fink Bagger (), Guy Desaulniers () and Jacques Desrosiers ()
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Niels-Christian Fink Bagger: Technical University of Denmark
Guy Desaulniers: GERAD – HEC Montréal 3000
Jacques Desrosiers: GERAD – HEC Montréal 3000

Journal of Scheduling, 2019, vol. 22, issue 2, No 2, 155-172

Abstract: Abstract In this paper, we propose an integer-programming relaxation for obtaining lower bounds for the curriculum-based course timetabling problem in which weekly assignments for courses to rooms and periods are considered. The model is a pattern formulation where a pattern is an assignment of a course into a set of periods on one day. Different preprocessing techniques are implemented to reduce the number of variables, and valid inequalities are derived and added to the model. The proposed model is tested on 21 real-world data instances. On 17 of these instances, the best known solutions have been proven optimal, and out of the remaining four, our model improves the lower bounds for three of them.

Keywords: Course timetabling; Integer programming; Preprocessing; Valid inequalities (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10951-018-0582-0

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