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Department of Business and Economics, University of Southern Denmark Discussion Papers of Business and Economics
Department of Business and Economics, University of Southern Denmark

No 1/2013:
A column generation approach for solving the patient admission scheduling problem

Troels Martin Range (), Richard Martin Lusby () and Jesper Larsen ()

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.

Keywords: Patient admission scheduling; column generation; dynamic constraint aggregation; dual disaggregation; branch-and-bound; (follow links to similar papers)

JEL-Codes: C61; (follow links to similar papers)

22 pages, January 9, 2013

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