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A mixed integer programming approach to the patient admission scheduling problem

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  • Bastos, Leonardo S.L.
  • Marchesi, Janaina F.
  • Hamacher, Silvio
  • Fleck, Julia L.

Abstract

Among the many challenges involved in efficient healthcare resource planning, the Patient Admission Scheduling Problem is of particular significance, impacting organizational decisions at all planning levels. The problem of scheduling patient admissions involves assigning patients to beds over a given time horizon so as to maximize treatment efficiency, patient comfort and hospital utilization, while satisfying all necessary medical constraints and taking into consideration patient preferences as much as possible. A number of different variants of the Patient Admission Scheduling Problem exist at the strategic, tactical, and operational levels. In this paper, we consider a static offline operational level variant for which we propose a comprehensive mixed integer programming formulation and advance an exact solution method. We generate new best found solutions for 9 out of 13 benchmark instances from a publicly available repository. Additionally, we prove the optimality of two best known solutions reported in the literature.

Suggested Citation

  • Bastos, Leonardo S.L. & Marchesi, Janaina F. & Hamacher, Silvio & Fleck, Julia L., 2019. "A mixed integer programming approach to the patient admission scheduling problem," European Journal of Operational Research, Elsevier, vol. 273(3), pages 831-840.
    • Handle: RePEc:eee:ejores:v:273:y:2019:i:3:p:831-840
    DOI: 10.1016/j.ejor.2018.09.003
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    References listed on IDEAS

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    Cited by:

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    3. Chengliang Wang & Feifei Yang & Quan-Lin Li, 2023. "Optimal Decision of Dynamic Bed Allocation and Patient Admission with Buffer Wards during an Epidemic," Mathematics, MDPI, vol. 11(3), pages 1-23, January.
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    7. Fabian Schäfer & Manuel Walther & Dominik G. Grimm & Alexander Hübner, 2023. "Combining machine learning and optimization for the operational patient-bed assignment problem," Health Care Management Science, Springer, vol. 26(4), pages 785-806, December.
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    9. Zhaohui Li & Haiyue Yu & Zhaowei Zhou, 2024. "Scheduling of elective operations with coordinated utilization of hospital beds and operating rooms," Journal of Combinatorial Optimization, Springer, vol. 47(5), pages 1-29, July.

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