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Forecasting Emergency Department Crowding: A Discrete Event Simulation - 21/08/11

Doi : 10.1016/j.annemergmed.2007.12.011 
Nathan R. Hoot, PhD a, , Larry J. LeBlanc, PhD b, Ian Jones, MD a, c, Scott R. Levin, PhD d, Chuan Zhou, PhD e, Cynthia S. Gadd, PhD, MBA a, Dominik Aronsky, MD, PhD a, c
a Department of Biomedical Informatics, Vanderbilt University Medical Center, Nashville, TN 
b Owen Graduate School of Management, Vanderbilt University Medical Center, Nashville, TN 
c Department of Emergency Medicine, Vanderbilt University Medical Center, Nashville, TN 
d Department of Biomedical Engineering, Vanderbilt University Medical Center, Nashville, TN 
e Department of Biostatistics, Vanderbilt University Medical Center, Nashville, TN. 

Address for correspondence: Nathan R. Hoot, PhD, 400 Eskind Biomedical Library, 2209 Garland Avenue, Nashville, TN 37232; 615-936-3720, fax 615-936-1427

Résumé

Study objective

To develop a discrete event simulation of emergency department (ED) patient flow for the purpose of forecasting near-future operating conditions and to validate the forecasts with several measures of ED crowding.

Methods

We developed a discrete event simulation of patient flow with evidence from the literature. Development was purely theoretical, whereas validation involved patient data from an academic ED. The model inputs and outputs, respectively, are 6-variable descriptions of every present and future patient in the ED. We validated the model by using a sliding-window design, ensuring separation of fitting and validation data in time series. We sampled consecutive 10-minute observations during 2006 (n=52,560). The outcome measures—all forecast 2, 4, 6, and 8 hours into the future from each observation—were the waiting count, waiting time, occupancy level, length of stay, boarding count, boarding time, and ambulance diversion. Forecasting performance was assessed with Pearson's correlation, residual summary statistics, and area under the receiver operating characteristic curve.

Results

The correlations between crowding forecasts and actual outcomes started high and decreased gradually up to 8 hours into the future (lowest Pearson's r for waiting count=0.56; waiting time=0.49; occupancy level=0.78; length of stay=0.86; boarding count=0.79; boarding time=0.80). The residual means were unbiased for all outcomes except the boarding time. The discriminatory power for ambulance diversion remained consistently high up to 8 hours into the future (lowest area under the receiver operating characteristic curve=0.86).

Conclusion

By modeling patient flow, rather than operational summary variables, our simulation forecasts several measures of near-future ED crowding, with various degrees of good performance.

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Plan


 Supervising editor: David J. Magid, MD, MPH
Author contributions: NH and DA conceived the study. All authors contributed substantially to the study design. IJ and DA obtained research funding. NH implemented the software and collected the data. NH and CZ performed the statistical analysis. NH drafted the article, and all authors contributed substantially to its revision. NH takes responsibility for the paper as a whole.
Funding and support: By Annals policy, all authors are required to disclose any and all commercial, financial, and other relationships in any way related to the subject of this article, that may create any potential conflict of interest. See the Manuscript Submission Agreement in this issue for examples of specific conflicts covered by this statement. Dr. Hoot was supported by the National Library of Medicine grant LM07450-02 and National Institute of General Medical Studies grant T32 GM07347. The research was also supported by the National Library of Medicine grant R21 LM009002-01. This project is an academic endeavor. It was supported by federal funding, as noted above, and there was no corporate funding. There are no current plans to commercialize this research that would cause any conflicts of interest.
Publication dates: Available online April 30, 2008.
Reprints not available from the authors.


© 2008  American College of Emergency Physicians. Publié par Elsevier Masson SAS. Tous droits réservés.
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Vol 52 - N° 2

P. 116-125 - août 2008 Retour au numéro
Article précédent Article précédent
  • Are the Uninsured Responsible for the Increase in Emergency Department Visits in the United States?
  • Ellen J. Weber, Jonathan A. Showstack, Kelly A. Hunt, David C. Colby, Barbara Grimes, Peter Bacchetti, Michael L. Callaham
| Article suivant Article suivant
  • Systematic Review of Emergency Department Crowding: Causes, Effects, and Solutions
  • Nathan R. Hoot, Dominik Aronsky

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