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arXiv 1107.4919stat.AP
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预测紧急医疗服务呼叫到达率

Forecasting emergency medical service call arrival rates

David S. Matteson, Mathew W. McLean, Dawn B. Woodard, Shane G. Henderson

摘要:

我们介绍了一种新的方法来预测紧急呼叫到达率,结合整数值时间序列模型与动态潜在的因素结构。协变量信息通过对因子载荷的简单约束来捕获。我们直接对每小时到达的计数值进行建模,而不是使用人为的正态假设。这对于呼叫量可能非常低的紧急医疗服务环境至关重要。平滑样条用于估计因素水平和负荷,以改善长期预测。我们在每小时的水平上施加时间序列结构,而不是在每天的水平上,除了长期结构之外,还捕获了精细尺度的依赖性。我们的分析考虑了2007年1月至2008年12月期间多伦多EMS收到的所有紧急优先呼叫,并为此派遣了救护车。实证结果表明,显着减少预测呼叫到达量的误差。为了量化减少预测误差的影响,我们设计了一个近似救护车系统动态的模拟模型。结果表明,随着预测方法的改进,性能更好。量化改进的统计程序的业务影响的概念可能是独立的利益。

英文摘要:

We introduce a new method for forecasting emergency call arrival rates that combines integer-valued time series models with a dynamic latent factor structure. Covariate information is captured via simple constraints on the factor loadings. We directly model the count-valued arrivals per hour, rather than using an artificial assumption of normality. This is crucial for the emergency medical service context, in which the volume of calls may be very low. Smoothing splines are used in estimating the factor levels and loadings to improve long-term forecasts. We impose time series structure at the hourly level, rather than at the daily level, capturing the fine-scale dependence in addition to the long-term structure. Our analysis considers all emergency priority calls received by Toronto EMS between January 2007 and December 2008 for which an ambulance was dispatched. Empirical results demonstrate significantly reduced error in forecasting call arrival volume. To quantify the impact of reduced forecast errors, we design a queueing model simulation that approximates the dynamics of an ambulance system. The results show better performance as the forecasting method improves. This notion of quantifying the operational impact of improved statistical procedures may be of independent interest.

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