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A stochastic programming approach to perform hospital capacity assessments

Author

Listed:
  • Robert L Burdett
  • Paul Corry
  • Belinda Spratt
  • David Cook
  • Prasad Yarlagadda

Abstract

This article introduces a bespoke risk averse stochastic programming approach for performing a strategic level assessment of hospital capacity (QAHC). We include stochastic treatment durations and length of stay in the analysis for the first time. To the best of our knowledge this is a new capability, not yet provided in the literature. Our stochastic programming approach identifies the maximum caseload that can be treated over a specified duration of time subject to a specified risk threshold in relation to temporary exceedances of capacity. Sample averaging techniques are applied to handle probabilistic constraints, but due to the size and complexity of the resultant mixed integer programming model, a novel two-stage hierarchical solution approach is needed. Our two-stage hierarchical solution approach is novel as it combines the application of a meta-heuristic with a binary search. It is also computationally fast. A case study of a large public hospital has been considered and extensive numerical tests have been undertaken to highlight the nuances and intricacies of the analysis. We conclude that the proposed approach is effective and can provide extra clarity and insights around hospital outputs. It provides a way to better calibrate hospitals and other health care infrastructure to future demands and challenges, like those created by the COVID pandemic.

Suggested Citation

  • Robert L Burdett & Paul Corry & Belinda Spratt & David Cook & Prasad Yarlagadda, 2023. "A stochastic programming approach to perform hospital capacity assessments," PLOS ONE, Public Library of Science, vol. 18(11), pages 1-31, November.
    • Handle: RePEc:plo:pone00:0287980
    DOI: 10.1371/journal.pone.0287980
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    References listed on IDEAS

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    1. Sebastian Hof & Andreas Fügener & Jan Schoenfelder & Jens O. Brunner, 2017. "Case mix planning in hospitals: a review and future agenda," Health Care Management Science, Springer, vol. 20(2), pages 207-220, June.
    2. Bevrani, Bayan & Burdett, Robert & Bhaskar, Ashish & Yarlagadda, Prasad K.D.V., 2020. "A multi-criteria multi-commodity flow model for analysing transportation networks," Operations Research Perspectives, Elsevier, vol. 7(C).
    3. Zakaria Yahia & Amr B. Eltawil & Nermine A. Harraz, 2016. "The operating room case-mix problem under uncertainty and nurses capacity constraints," Health Care Management Science, Springer, vol. 19(4), pages 383-394, December.
    4. McRae, Sebastian & Brunner, Jens O., 2020. "Assessing the impact of uncertainty and the level of aggregation in case mix planning," Omega, Elsevier, vol. 97(C).
    5. Freeman, Nickolas & Zhao, Ming & Melouk, Sharif, 2018. "An iterative approach for case mix planning under uncertainty," Omega, Elsevier, vol. 76(C), pages 160-173.
    6. Sultan Alodhaibi & Robert L. Burdett & Prasad K. D. V. Yarlagadda, 2020. "An Analytical Optimisation Framework for Airport Terminal Capacity Expansion," Complexity, Hindawi, vol. 2020, pages 1-10, October.
    7. Ghaderi, Abdolsalam & Burdett, Robert L., 2019. "An integrated location and routing approach for transporting hazardous materials in a bi-modal transportation network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 49-65.
    8. Lukáš Adam & Martin Branda & Holger Heitsch & René Henrion, 2020. "Solving joint chance constrained problems using regularization and Benders’ decomposition," Annals of Operations Research, Springer, vol. 292(2), pages 683-709, September.
    9. Bayan Bevrani & Robert L. Burdett & Ashish Bhaskar & Prasad K. D. V. Yarlagadda, 2020. "A multi commodity flow model incorporating flow reduction functions," Flexible Services and Manufacturing Journal, Springer, vol. 32(3), pages 693-723, September.
    10. Jivan Deglise‐Hawkinson & Jonathan E. Helm & Todd Huschka & David L. Kaufman & Mark P. Van Oyen, 2018. "A Capacity Allocation Planning Model for Integrated Care and Access Management," Production and Operations Management, Production and Operations Management Society, vol. 27(12), pages 2270-2290, December.
    11. Jomon Aliyas Paul & Rajan Batta, 2008. "Models for hospital location and capacity allocation for an area prone to natural disasters," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 3(5), pages 473-496.
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