IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v30y1984i12p1473-1489.html
   My bibliography  Save this article

School Timetabling---A Case in Large Binary Integer Linear Programming

Author

Listed:
  • Arabinda Tripathy

    (Indian Institute of Management, Vastrapur, Ahmedabad 380015, India)

Abstract

A timetabling problem is formulated as a large integer linear programming problem in 0-1 variables. A solution method based on Lagrangean relaxation coupled with subgradient optimization is presented. The solution method also incorporates a branch and bound procedure which takes advantage of special ordered sets of variables. We present computational results for a large timetabling problem involving 900 subjects in a one-year graduate program.

Suggested Citation

  • Arabinda Tripathy, 1984. "School Timetabling---A Case in Large Binary Integer Linear Programming," Management Science, INFORMS, vol. 30(12), pages 1473-1489, December.
    • Handle: RePEc:inm:ormnsc:v:30:y:1984:i:12:p:1473-1489
    DOI: 10.1287/mnsc.30.12.1473
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.30.12.1473
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.30.12.1473?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
    ---><---

    Citations

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


    Cited by:

    1. Ciamac C. Moallemi & Utkarsh Patange, 2024. "Hybrid Scheduling with Mixed-Integer Programming at Columbia Business School," Interfaces, INFORMS, vol. 54(3), pages 222-240, May.
    2. Sunil B. Bhoi & Jayesh M. Dhodiya, 2024. "Multi-objective faculty course assignment problem based on the double parametric form of fuzzy preferences," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 34(2), pages 1-16.
    3. Boronico, Jess, 2000. "Quantitative modeling and technology driven departmental course scheduling," Omega, Elsevier, vol. 28(3), pages 327-346, June.
    4. Salem Al-Yakoob & Hanif Sherali, 2015. "A column generation mathematical programming approach for a class-faculty assignment problem with preferences," Computational Management Science, Springer, vol. 12(2), pages 297-318, April.
    5. Al-Yakoob, Salem M. & Sherali, Hanif D., 2006. "Mathematical programming models and algorithms for a class-faculty assignment problem," European Journal of Operational Research, Elsevier, vol. 173(2), pages 488-507, September.
    6. Massimiliano Caramia & Stefano Giordani, 2020. "Curriculum-Based Course Timetabling with Student Flow, Soft Constraints, and Smoothing Objectives: an Application to a Real Case Study," SN Operations Research Forum, Springer, vol. 1(2), pages 1-21, June.
    7. K Papoutsis & C Valouxis & E Housos, 2003. "A column generation approach for the timetabling problem of Greek high schools," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(3), pages 230-238, March.
    8. 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.
    9. S K Mirrazavi & S J Mardle & M Tamiz, 2003. "A two-phase multiple objective approach to university timetabling utilising optimisation and evolutionary solution methodologies," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(11), pages 1155-1166, November.
    10. Carrasco, M. P. & Pato, M. V., 2004. "A comparison of discrete and continuous neural network approaches to solve the class/teacher timetabling problem," European Journal of Operational Research, Elsevier, vol. 153(1), pages 65-79, February.
    11. Haase, Knut & Latteier, Jorg & Schirmer, Andreas, 1998. "The course scheduling problem at Lufthansa Technical Training," European Journal of Operational Research, Elsevier, vol. 110(3), pages 441-456, November.
    12. Asratian, A. S. & de Werra, D., 2002. "A generalized class-teacher model for some timetabling problems," European Journal of Operational Research, Elsevier, vol. 143(3), pages 531-542, December.
    13. Lin, Edward Y. H. & Bricker, Dennis L., 1996. "Computational comparison on the partitioning strategies in multiple choice integer programming," European Journal of Operational Research, Elsevier, vol. 88(1), pages 182-202, January.
    14. Haase, Knut & Latteier, Jörg & Schirmer, Andreas, 1997. "The course scheduling problem at Lufthansa Technical Training," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 441, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    15. Kristiansen, Simon & Sørensen, Matias & Stidsen, Thomas R., 2011. "Elective course planning," European Journal of Operational Research, Elsevier, vol. 215(3), pages 713-720, December.
    16. Daskalaki, S. & Birbas, T. & Housos, E., 2004. "An integer programming formulation for a case study in university timetabling," European Journal of Operational Research, Elsevier, vol. 153(1), pages 117-135, February.
    17. Edmund Burke & Jakub Mareček & Andrew Parkes & Hana Rudová, 2012. "A branch-and-cut procedure for the Udine Course Timetabling problem," Annals of Operations Research, Springer, vol. 194(1), pages 71-87, April.
    18. Daskalaki, S. & Birbas, T., 2005. "Efficient solutions for a university timetabling problem through integer programming," European Journal of Operational Research, Elsevier, vol. 160(1), pages 106-120, January.

    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:inm:ormnsc:v:30:y:1984:i:12:p:1473-1489. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.