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Advanced statistics: developing a formal model of emergency department census and defining operational efficiency
Thomas J Flottemesch1, Bradley D Gordon, Spencer S Jones
1HealthPartners Research Foundation, Minneapolis, MN, USA. thomas.j.flottemesch@healthpartners.com
Summary
Emergency department (ED) crowding is now definable with a new mathematical model. This model forecasts patient census and improves operational efficiency in the ED.
Area of Science:
- Emergency Medicine
- Operations Research
- Health Systems Science
Background:
- Emergency department (ED) crowding lacks an objective definition, hindering research and operational improvements.
- Previous research on ED crowding has been limited by conceptual ambiguity.
Purpose of the Study:
- To develop a mathematical model of ED census incorporating crowding, patient surge, and throughput.
- To create a metric for ED operational efficiency and a census forecasting tool.
Main Methods:
- Analysis of 2005-2006 patient encounter data from a Level 1 urban trauma center.
- Development of a formal mathematical model based on three observed daily ED census patterns.
- Nonlinear estimation to parameterize the model and develop a forecasting tool.
Main Results:
- Identified three key patterns of daily ED census: cyclical nature, input-output relationship, and lasting effects of unexpected shocks.
- Developed a mathematical expression, Census(t) = A(.) + B(.) cos(vT + epsilon) + a(e(t)), to represent ED census dynamics.
- Successfully estimated model parameters and created a functional forecasting tool.
Conclusions:
- A straightforward mathematical expression can effectively represent the fundamental patterns of ED census.
- The developed model offers adaptability for diverse analyses of ED crowding, patient surge, and operational efficiency.
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