Dantzig–Wolfe decomposition of the daily course pattern formulation for curriculum-based course timetabling

Niels-Christian F. Bagger, Matias Sørensen and Thomas R. Stidsen

European Journal of Operational Research, 2019, vol. 272, issue 2, 430-446

Abstract: In this paper, we considered the problem of Curriculum-Based Course Timetabling, i.e., assigning weekly lectures to a time schedule and rooms. We developed a Column Generation algorithm based on a pattern formulation of the time scheduling part of the problem by Bagger et al. (2016). The pattern formulation is an enumeration of all schedules by which each course can be assigned on each day; it is a lower bounding model. Pattern enumeration has also been considered in Burke (2008), where the authors enumerated all schedules to which each curriculum can be assigned on each day. We applied the Dantzig–Wolfe reformulation, so each column corresponded to a schedule for an entire day.

Keywords: Timetabling; Integer programming; Education; Column generation; Local branching (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:272:y:2019:i:2:p:430-446

DOI: 10.1016/j.ejor.2018.06.042

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