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A column generation approach for solving the patient admission scheduling problem

Author

Listed:
  • Range, Troels Martin

    (Department of Business and Economics)

  • Lusby, Richard Martin

    (Department of Engineering Management)

  • Larsen, Jesper

    (Department of Engineering Management)

Abstract

This paper addresses the Patient Admission Scheduling (PAS) problem. The PAS problem deals with assigning elective patients to beds, satisfying a number of soft and hard constraints. The problem can be seen as part of the functions of hospital management at an operational level. There exists a small number of different variants on this problem. We propose an optimization-based heuristic building on branch-and-bound, column generation, and dynamic constraint aggregation for one of the variants. We achieve tighter bounds than previously reported in the literature, and in addition we are able to produce new best solutions for five out of six instances from a publicly available repository.

Suggested Citation

  • Range, Troels Martin & Lusby, Richard Martin & Larsen, Jesper, 2013. "A column generation approach for solving the patient admission scheduling problem," Discussion Papers on Economics 1/2013, University of Southern Denmark, Department of Economics.
    • Handle: RePEc:hhs:sdueko:2013_001
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    File URL: https://www.sdu.dk/-/media/files/om_sdu/institutter/ivoe/disc_papers/disc_2013/dpbe1_2013.pdf
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    References listed on IDEAS

    as
    1. Issmail Elhallaoui & Abdelmoutalib Metrane & Guy Desaulniers & François Soumis, 2011. "An Improved Primal Simplex Algorithm for Degenerate Linear Programs," INFORMS Journal on Computing, INFORMS, vol. 23(4), pages 569-577, November.
    2. R Lusby & A Dohn & T M Range & J Larsen, 2012. "A column generation-based heuristic for rostering with work patterns," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(2), pages 261-277, February.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Range, Troels Martin & Lusby, Richard Martin & Larsen, Jesper, 2013. "Solving the selective multi-category parallel-servicing problem," Discussion Papers on Economics 5/2013, University of Southern Denmark, Department of Economics.

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    More about this item

    Keywords

    Patient admission scheduling; column generation; dynamic constraint aggregation; dual disaggregation; branch-and-bound;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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