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

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  • Arabinda Tripathy

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

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    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.

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    File URL: http://dx.doi.org/10.1287/mnsc.30.12.1473
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 30 (1984)
    Issue (Month): 12 (December)
    Pages: 1473-1489

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

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    Keywords: programming: integer; applications; Lagrangean relaxation;

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    Cited by:
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Boronico, Jess, 2000. "Quantitative modeling and technology driven departmental course scheduling," Omega, Elsevier, vol. 28(3), pages 327-346, June.

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