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An integer linear model for hospital bed planning

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  • Ben Bachouch, Rym
  • Guinet, Alain
  • Hajri-Gabouj, Sonia

Abstract

In this paper we investigate the hospital bed management problem. Constrained by budgetary cuts, French hospitals must efficiently manage shared resources, especially beds, which are allocated to acute and elective patients. Nurses therefore have to manage beds and to plan their use according to the demand, including cases of acute patients from the emergency ward. Managing hospital bed planning is difficult due to the demand increase and restricted hospital resources. Our aim is to propose a decision support tool based on an integer linear program for hospital bed planning, considering two classes of patients: elective and acute cases. We take into account several constraints: incompatibility between pathologies, no mixed-sex rooms, continuity of care, etc. In order to solve the proposed model and to compare the results, we use three solver softwares: GLPK, LINGO of LINDO SYSTEMS and CPLEX of ILOG.

Suggested Citation

  • Ben Bachouch, Rym & Guinet, Alain & Hajri-Gabouj, Sonia, 2012. "An integer linear model for hospital bed planning," International Journal of Production Economics, Elsevier, vol. 140(2), pages 833-843.
    • Handle: RePEc:eee:proeco:v:140:y:2012:i:2:p:833-843
    DOI: 10.1016/j.ijpe.2012.07.023
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    2. Chang Wook Kang & Muhammad Imran & Muhammad Omair & Waqas Ahmed & Misbah Ullah & Biswajit Sarkar, 2019. "Stochastic-Petri Net Modeling and Optimization for Outdoor Patients in Building Sustainable Healthcare System Considering Staff Absenteeism," Mathematics, MDPI, vol. 7(6), pages 1-26, June.
    3. Guido, Rosita & Groccia, Maria Carmela & Conforti, Domenico, 2018. "An efficient matheuristic for offline patient-to-bed assignment problems," European Journal of Operational Research, Elsevier, vol. 268(2), pages 486-503.
    4. Marquinez, José Tomás & Sauré, Antoine & Cataldo, Alejandro & Ferrer, Juan-Carlos, 2021. "Identifying proactive ICU patient admission, transfer and diversion policies in a public-private hospital network," European Journal of Operational Research, Elsevier, vol. 295(1), pages 306-320.
    5. Araz, Ozgur M. & Olson, David & Ramirez-Nafarrate, Adrian, 2019. "Predictive analytics for hospital admissions from the emergency department using triage information," International Journal of Production Economics, Elsevier, vol. 208(C), pages 199-207.
    6. Golmohammadi, Davood & Radnia, Naeimeh, 2016. "Prediction modeling and pattern recognition for patient readmission," International Journal of Production Economics, Elsevier, vol. 171(P1), pages 151-161.
    7. Zhou, Liping & Geng, Na & Jiang, Zhibin & Wang, Xiuxian, 2018. "Multi-objective capacity allocation of hospital wards combining revenue and equity," Omega, Elsevier, vol. 81(C), pages 220-233.
    8. Jaime González & Juan-Carlos Ferrer & Alejandro Cataldo & Luis Rojas, 2019. "A proactive transfer policy for critical patient flow management," Health Care Management Science, Springer, vol. 22(2), pages 287-303, June.
    9. Wu, Xiaodan & Li, Juan & Chu, Chao-Hsien, 2019. "Modeling multi-stage healthcare systems with service interactions under blocking for bed allocation," European Journal of Operational Research, Elsevier, vol. 278(3), pages 927-941.
    10. Wang, Yu & Tang, Jiafu & Fung, Richard Y.K., 2014. "A column-generation-based heuristic algorithm for solving operating theater planning problem under stochastic demand and surgery cancellation risk," International Journal of Production Economics, Elsevier, vol. 158(C), pages 28-36.
    11. Hejer Khlif Hachicha & Farah Zeghal Mansour, 2018. "Two-MILP models for scheduling elective surgeries within a private healthcare facility," Health Care Management Science, Springer, vol. 21(3), pages 376-392, September.
    12. Aleida Braaksma & Martin S. Copenhaver & Ana C. Zenteno & Elizabeth Ugarph & Retsef Levi & Bethany J. Daily & Benjamin Orcutt & Kathryn M. Turcotte & Peter F. Dunn, 2023. "Evaluation and implementation of a Just-In-Time bed-assignment strategy to reduce wait times for surgical inpatients," Health Care Management Science, Springer, vol. 26(3), pages 501-515, September.

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