A column generation approach for solving the patient admission scheduling problem

Troels Martin Range, Richard Martin Lusby, Jesper Larsen

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    Abstract

    This paper addresses the Patient Admission Scheduling (PAS) problem. The PAS problem entails assigning elective patients to beds, while satisfying a number of hard constraints and as many soft constraints as is possible, and arises at all planning levels for hospital management. There exist a few, different variants of this problem. In this paper we consider one such variant and propose an optimization-based heuristic building on branch-and-bound, column generation, and dynamic constraint aggregation to solve it. We achieve tighter lower bounds than previously reported in the literature and, in addition, we are able to produce new best known solutions for five out of twelve instances from a publicly available repository. © 2013 Elsevier B.V. All rights reserved.
    Original languageEnglish
    JournalEuropean Journal of Operational Research
    Volume235
    Pages (from-to)252–264
    ISSN0377-2217
    DOIs
    Publication statusPublished - 2014

    Keywords

    • OR in health services
    • Scheduling
    • Column generation
    • Dynamic constraint aggregation
    • Dual disaggregation
    • Branch and bound

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