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Related Experiment Videos

Using queueing theory to determine operating room staffing needs

J B Tucker1, J E Barone, J Cecere

  • 1Stamford Hospital/Columbia University College of Physicians and Surgeons, CT 06904, USA.

The Journal of Trauma
|February 5, 1999
PubMed
Summary
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Activating a backup operating room (OR) team is not needed at night in Level II trauma centers. Queueing theory shows the probability of concurrent night cases is less than 0.1%, optimizing resource allocation.

Area of Science:

  • Healthcare Operations Research
  • Trauma Surgery Management
  • Applied Mathematics in Medicine

Background:

  • Level I and II trauma centers require 24/7 in-house operating room (OR) staff per American College of Surgeons standards.
  • Hospital OR staffing needs fluctuate based on emergency case volume, particularly during night shifts.
  • Queueing theory offers an objective method for analyzing historical data to optimize service delivery and minimize waiting times.

Purpose of the Study:

  • To determine the necessity of activating a backup OR team during night shifts at a verified Level II trauma center.
  • To apply queueing theory to assess OR staffing requirements during off-peak hours.
  • To optimize the utilization of surgical resources in trauma centers.

Main Methods:

  • Applied basic queueing theory formulas for a single-phase, single-channel system to OR patient needs.

Related Experiment Videos

  • Calculated mean arrival rate by dividing annual cases by 2,920 night hours (8 hours/night x 365 days).
  • Determined mean service rate by averaging the duration of actual OR cases and used simulation to validate queueing model results.

    • Main Results:

    • Analyzed 62 OR cases occurring between 11 PM and 7 AM over one year.
    • Calculated an average arrival rate (λ) of 0.0212 patients/hour and a mean service rate (μ) of 0.7427 patients/hour.
    • Queueing theory predicted a probability of less than 0.1% (0.0008) for two or more simultaneous night OR cases.

    Conclusions:

    • Activation of a second OR team is deemed unnecessary when the primary team is engaged, given the low probability of concurrent cases.
    • Queueing theory is a valuable tool for determining staffing needs across various hospital departments.
    • Trauma centers should leverage mathematical modeling, such as queueing theory, to optimize operational resources.