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A column generation approach for solving the patient admission scheduling problem

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Author Info

  • Range, Troels Martin

    ()
    (Department of Business and Economics)

  • Lusby, Richard Martin

    ()
    (Department of Engineering Management)

  • Larsen, Jesper

    ()
    (Department of Engineering Management)

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    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.

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    File URL: http://static.sdu.dk/mediafiles//5/B/8/%7B5B8F0145-D76D-4FB5-98B2-A5B2B0FA59C6%7Ddpbe1_2013.pdf
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    Bibliographic Info

    Paper provided by Department of Business and Economics, University of Southern Denmark in its series Discussion Papers of Business and Economics with number 1/2013.

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    Length: 22 pages
    Date of creation: 09 Jan 2013
    Date of revision:
    Handle: RePEc:hhs:sdueko:2013_001

    Contact details of provider:
    Postal: Department of Business and Economics, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark
    Phone: 65 50 32 33
    Fax: 65 50 32 37
    Email:
    Web page: http://www.sdu.dk/ivoe
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    Related research

    Keywords: Patient admission scheduling; column generation; dynamic constraint aggregation; dual disaggregation; branch-and-bound;

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    References

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    1. 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, vol. 63(2), pages 261-277, February.
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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 of Business and Economics 5/2013, Department of Business and Economics, University of Southern Denmark.

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