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Optimal student sectioning on mandatory courses with various sections numbers

Author

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  • David Schindl

    (Haute école de gestion de Genève, HES-SO, University of Applied Sciences Western Switzerland)

Abstract

In sufficiently large schools, courses are given to classes in sections of various sizes. Consequently, classes have to be split into various given numbers of sections. We focus on how to dispatch the students into sections of equal size, so as to minimize the number of edges in the resulting conflict graph. As a main result, we show that subdividing the students set in a regular way is optimal. We then discuss our solution uniqueness and feasibility, as well as practical issues concerning teacher assignments to sections and the case of an additional course with unequal section sizes requirements.

Suggested Citation

  • David Schindl, 2019. "Optimal student sectioning on mandatory courses with various sections numbers," Annals of Operations Research, Springer, vol. 275(1), pages 209-221, April.
    • Handle: RePEc:spr:annopr:v:275:y:2019:i:1:d:10.1007_s10479-017-2621-1
    DOI: 10.1007/s10479-017-2621-1
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    References listed on IDEAS

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    1. Hertz, A., 1991. "Tabu search for large scale timetabling problems," European Journal of Operational Research, Elsevier, vol. 54(1), pages 39-47, September.
    2. Tomáš Müller & Keith Murray, 2010. "Comprehensive approach to student sectioning," Annals of Operations Research, Springer, vol. 181(1), pages 249-269, December.
    3. Ramon Alvarez-Valdes & Enric Crespo & Jose Tamarit, 2000. "Assigning students to course sections using tabu search," Annals of Operations Research, Springer, vol. 96(1), pages 1-16, November.
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    Cited by:

    1. Alexandre Lemos & Pedro T. Monteiro & Inês Lynce, 2022. "Introducing UniCorT: an iterative university course timetabling tool with MaxSAT," Journal of Scheduling, Springer, vol. 25(4), pages 371-390, August.
    2. Britta Herres & Heinz Schmitz, 2021. "Decomposition of university course timetabling," Annals of Operations Research, Springer, vol. 302(2), pages 405-423, July.

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