Objective: To develop and validate a Seasonal Auto-Regressive Integrated Moving Average (SARIMA) model for forecasting daily patient admissions to the Post-Anesthesia Care Unit (PACU), and to evaluate its potential for optimizing nursing staff allocation.
Method: Daily admission data from 16,637 patients between November 2, 2020, and January 2, 2022, were analyzed. The SARIMA model was developed on a training set (Nov 2020 - Dec 2021) and its forecasting accuracy was rigorously assessed on a test set (Dec 2021 - Jan 2022) using five-fold rolling cross-validation. Model selection was based on Akaike's Information Criterion (AIC) and Bayesian Information Criterion (BIC), with residual diagnostics conducted to ensure validity. The model's performance was compared against a Long Short-Term Memory (LSTM) neural network. An operational simulation for nurse staffing was conducted based on the forecasts.
Results: The SARIMA(1,0,2)(0,1,2)7 model was identified as optimal. It demonstrated strong forecasting performance with a mean RMSE of 14.53, MAE of 11.14, and R2 of 0.75 on cross-validation. Performance was superior during stable periods (e.g. Fold 4: RMSE = 9.27, R2 = 0.88) but declined during periods of potential COVID-19 disruption. The model significantly outperformed the LSTM benchmark (LSTM RMSE = 15.51, R2 = 0.483). A staffing simulation showed the model's recommendations could potentially reduce overstaffing on 32.1% of days while maintaining safe coverage.
Conclusion: The SARIMA model provides accurate and reliable short-term forecasts for PACU patient admissions under normal operational conditions. It serves as a valuable decision-support tool for optimizing nursing staff scheduling and improving resource allocation efficiency, demonstrating superior performance and practicality compared to a more complex LSTM model in this clinical setting.
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