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An IP-based heuristic for the post enrolment course timetabling problem of the ITC2007

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  • J. Broek
  • C. Hurkens

Abstract

Track 2 of the international timetabling competition 2007 was a post enrolment course timetabling problem. A set of events has to be assigned to a timeslot and to a room such that all students are able to attend their requested events while not violating the hard constraints. There are also soft constraints that make the timetable “nicer”. We present a deterministic heuristic that assigns events to timeslots based on an LP-solution constructed with column generation. We get an integer solution by fixing columns one at a time. This heuristic finds a solution that obeys all the hard constraint for 23 of the 24 instances of the competition. The generated solution is improved by selecting a set of events that are reassigned by solving an integer program. This IP minimizes the number of soft constraint violations under the restriction that no hard constraints are violated. Comparing the results of our heuristic with the results of the five finalists of the competition, shows that our approach is competitive. Copyright The Author(s) 2012

Suggested Citation

  • J. Broek & C. Hurkens, 2012. "An IP-based heuristic for the post enrolment course timetabling problem of the ITC2007," Annals of Operations Research, Springer, vol. 194(1), pages 439-454, April.
    • Handle: RePEc:spr:annopr:v:194:y:2012:i:1:p:439-454:10.1007/s10479-010-0708-z
    DOI: 10.1007/s10479-010-0708-z
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    References listed on IDEAS

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    1. Marco E. Lübbecke & Jacques Desrosiers, 2005. "Selected Topics in Column Generation," Operations Research, INFORMS, vol. 53(6), pages 1007-1023, December.
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    Cited by:

    1. Lewis, R. & Thompson, J., 2015. "Analysing the effects of solution space connectivity with an effective metaheuristic for the course timetabling problem," European Journal of Operational Research, Elsevier, vol. 240(3), pages 637-648.
    2. Gülcin Ermis & Can Akkan, 2019. "Search algorithms for improving the pareto front in a timetabling problem with a solution network-based robustness measure," Annals of Operations Research, Springer, vol. 275(1), pages 101-121, April.
    3. Fabian Dunke & Stefan Nickel, 2023. "A matheuristic for customized multi-level multi-criteria university timetabling," Annals of Operations Research, Springer, vol. 328(2), pages 1313-1348, September.

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