IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v275y2019i1d10.1007_s10479-017-2621-1.html
   My bibliography  Save this article

Optimal student sectioning on mandatory courses with various sections numbers

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-017-2621-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10479-017-2621-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. De Causmaecker, Patrick & Demeester, Peter & Vanden Berghe, Greet, 2009. "A decomposed metaheuristic approach for a real-world university timetabling problem," European Journal of Operational Research, Elsevier, vol. 195(1), pages 307-318, May.
    2. Alvarez-Valdes, Ramon & Crespo, Enric & Tamarit, Jose M., 2002. "Design and implementation of a course scheduling system using Tabu Search," European Journal of Operational Research, Elsevier, vol. 137(3), pages 512-523, March.
    3. Gerardo Gonzalez & Christopher Richards & Alexandra Newman, 2018. "Optimal Course Scheduling for United States Air Force Academy Cadets," Interfaces, INFORMS, vol. 48(3), pages 217-234, June.
    4. Tomáš Müller & Hana Rudová, 2016. "Real-life curriculum-based timetabling with elective courses and course sections," Annals of Operations Research, Springer, vol. 239(1), pages 153-170, April.
    5. Andrea Bettinelli & Valentina Cacchiani & Roberto Roberti & Paolo Toth, 2015. "An overview of curriculum-based course timetabling," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(2), pages 313-349, July.
    6. Anthony LokTing Yim, 2023. "How Early Morning Classes Change Academic Trajectories: Evidence from a Natural Experiment," Purdue University Economics Working Papers 1334, Purdue University, Department of Economics.
    7. Mumford, Kevin J. & Patterson, Richard & Yim, Anthony, 2024. "College Course Shutouts," IZA Discussion Papers 16859, Institute of Labor Economics (IZA).
    8. Vermuyten, Hendrik & Lemmens, Stef & Marques, Inês & Beliën, Jeroen, 2016. "Developing compact course timetables with optimized student flows," European Journal of Operational Research, Elsevier, vol. 251(2), pages 651-661.
    9. Daniel Berend & Ephraim Korach & Shira Zucker, 2012. "Tabu search for the BWC problem," Journal of Global Optimization, Springer, vol. 54(4), pages 649-667, December.
    10. Cangalovic, Mirjana & Kovacevic-Vujcic, Vera & Ivanovic, Lav & Drazic, Milan, 1998. "Modeling and solving a real-life assignment problem at universities," European Journal of Operational Research, Elsevier, vol. 110(2), pages 223-233, October.
    11. Dimopoulou, M. & Miliotis, P., 2001. "Implementation of a university course and examination timetabling system," European Journal of Operational Research, Elsevier, vol. 130(1), pages 202-213, April.
    12. Kristiansen, Simon & Sørensen, Matias & Stidsen, Thomas R., 2011. "Elective course planning," European Journal of Operational Research, Elsevier, vol. 215(3), pages 713-720, December.
    13. Simon Kristiansen & Thomas R. Stidsen, 2016. "Elective course student sectioning at Danish high schools," Annals of Operations Research, Springer, vol. 239(1), pages 99-117, April.
    14. Boronico, Jess, 2000. "Quantitative modeling and technology driven departmental course scheduling," Omega, Elsevier, vol. 28(3), pages 327-346, June.
    15. Ozdemir, Mujgan S. & Gasimov, Rafail N., 2004. "The analytic hierarchy process and multiobjective 0-1 faculty course assignment," European Journal of Operational Research, Elsevier, vol. 157(2), pages 398-408, September.
    16. White, George M. & Xie, Bill S. & Zonjic, Stevan, 2004. "Using tabu search with longer-term memory and relaxation to create examination timetables," European Journal of Operational Research, Elsevier, vol. 153(1), pages 80-91, February.
    17. Ceschia, Sara & Di Gaspero, Luca & Schaerf, Andrea, 2023. "Educational timetabling: Problems, benchmarks, and state-of-the-art results," European Journal of Operational Research, Elsevier, vol. 308(1), pages 1-18.
    18. Juretzka, Jan & Böhler, Catharina & Drexl, Andreas, 2000. "Ein Decision Support System zur universitären Prüfungsplanung," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 530, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    19. Johnes, Jill, 2015. "Operational Research in education," European Journal of Operational Research, Elsevier, vol. 243(3), pages 683-696.
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:annopr:v:275:y:2019:i:1:d:10.1007_s10479-017-2621-1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.