A column generation approach for solving the patient admission scheduling problem
AbstractThis 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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Bibliographic InfoPaper provided by Department of Business and Economics, University of Southern Denmark in its series Discussion Papers of Business and Economics with number 1/2013.
Length: 22 pages
Date of creation: 09 Jan 2013
Date of revision:
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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
Web page: http://www.sdu.dk/ivoe
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Patient admission scheduling; column generation; dynamic constraint aggregation; dual disaggregation; branch-and-bound;
Find related papers by 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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- 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.
- 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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