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Optimizing Intensive Care Unit Discharge Decisions with Patient Readmissions

Author

Listed:
  • Carri W. Chan

    (Division of Decision, Risk, and Operations, Columbia Business School, New York, New York 10027)

  • Vivek F. Farias

    (Sloan School of Management, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

  • Nicholas Bambos

    (Department of Electrical Engineering and Department of Management Science and Engineering, Stanford University, Stanford, California 94305)

  • Gabriel J. Escobar

    (Kaiser Permanente Division of Research, Oakland, California 94612)

Abstract

This work examines the impact of discharge decisions under uncertainty in a capacity-constrained high-risk setting: the intensive care unit (ICU). New arrivals to an ICU are typically very high-priority patients and, should the ICU be full upon their arrival, discharging a patient currently residing in the ICU may be required to accommodate a newly admitted patient. Patients so discharged risk physiologic deterioration, which might ultimately require readmission; models of these risks are currently unavailable to providers. These readmissions in turn impose an additional load on the capacity-limited ICU resources.We study the impact of several different ICU discharge strategies on patient mortality and total readmission load. We focus on discharge rules that prioritize patients based on some measure of criticality assuming the availability of a model of readmission risk. We use empirical data from over 5,000 actual ICU patient flows to calibrate our model. The empirical study suggests that a predictive model of the readmission risks associated with discharge decisions, in tandem with simple index policies of the type proposed, can provide very meaningful throughput gains in actual ICUs while at the same time maintaining, or even improving upon, mortality rates. We explicitly provide a discharge policy that accomplishes this. In addition to our empirical work, we conduct a rigorous performance analysis for the family of discharge policies we consider. We show that our policy is optimal in certain regimes, and is otherwise guaranteed to incur readmission related costs no larger than a factor of \documentclass{aastex}\usepackage{amsbsy}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{bm}\usepackage{mathrsfs}\usepackage{pifont}\usepackage{stmaryrd}\usepackage{textcomp}\usepackage{portland,xspace}\usepackage{amsmath,amsxtra}\pagestyle{empty}\DeclareMathSizes{10}{9}{7}{6}\begin{document}$(\hat{\rho}+1)$\end{document} of an optimal discharge strategy, where \documentclass{aastex}\usepackage{amsbsy}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{bm}\usepackage{mathrsfs}\usepackage{pifont}\usepackage{stmaryrd}\usepackage{textcomp}\usepackage{portland,xspace}\usepackage{amsmath,amsxtra}\pagestyle{empty}\DeclareMathSizes{10}{9}{7}{6}\begin{document}$\hat{\rho}$\end{document} is a certain natural measure of system utilization.

Suggested Citation

  • Carri W. Chan & Vivek F. Farias & Nicholas Bambos & Gabriel J. Escobar, 2012. "Optimizing Intensive Care Unit Discharge Decisions with Patient Readmissions," Operations Research, INFORMS, vol. 60(6), pages 1323-1341, December.
  • Handle: RePEc:inm:oropre:v:60:y:2012:i:6:p:1323-1341
    DOI: 10.1287/opre.1120.1105
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    References listed on IDEAS

    as
    1. Linda Green, 2006. "Queueing Analysis in Healthcare," International Series in Operations Research & Management Science, in: Randolph W. Hall (ed.), Patient Flow: Reducing Delay in Healthcare Delivery, chapter 0, pages 281-307, Springer.
    2. Carri W. Chan & Vivek F. Farias, 2009. "Stochastic Depletion Problems: Effective Myopic Policies for a Class of Dynamic Optimization Problems," Mathematics of Operations Research, INFORMS, vol. 34(2), pages 333-350, May.
    3. Natalia Yankovic & Linda V. Green, 2011. "Identifying Good Nursing Levels: A Queuing Approach," Operations Research, INFORMS, vol. 59(4), pages 942-955, August.
    4. Diwas Singh KC & Christian Terwiesch, 2012. "An Econometric Analysis of Patient Flows in the Cardiac Intensive Care Unit," Manufacturing & Service Operations Management, INFORMS, vol. 14(1), pages 50-65, January.
    5. Arnoud Bruin & A. Rossum & M. Visser & G. Koole, 2007. "Modeling the emergency cardiac in-patient flow: an application of queuing theory," Health Care Management Science, Springer, vol. 10(2), pages 125-137, June.
    6. Linda V. Green & Sergei Savin, 2008. "Reducing Delays for Medical Appointments: A Queueing Approach," Operations Research, INFORMS, vol. 56(6), pages 1526-1538, December.
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