Probabilistic forecasting of patient waiting times in an emergency department

<p><strong><em>Problem definition</em>:</strong>&nbsp;We study the estimation of the&nbsp;probability&nbsp;distribution of individual&nbsp;patient&nbsp;waiting&nbsp;times&nbsp;in an&nbsp;emergency&nbsp;department&nbsp;(ED). Wherea...

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Main Authors: Arora, S, Taylor, JW, Mak, H-Y
Format: Journal article
Language:English
Published: INFORMS 2023
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author Arora, S
Taylor, JW
Mak, H-Y
author_facet Arora, S
Taylor, JW
Mak, H-Y
author_sort Arora, S
collection OXFORD
description <p><strong><em>Problem definition</em>:</strong>&nbsp;We study the estimation of the&nbsp;probability&nbsp;distribution of individual&nbsp;patient&nbsp;waiting&nbsp;times&nbsp;in an&nbsp;emergency&nbsp;department&nbsp;(ED). Whereas it is known that&nbsp;waiting-time&nbsp;estimates can help improve&nbsp;patients&rsquo; overall satisfaction and prevent abandonment, existing methods focus on point&nbsp;forecasts, thereby completely ignoring the underlying uncertainty. Communicating only a point&nbsp;forecast&nbsp;to&nbsp;patients&nbsp;can be uninformative and potentially misleading.&nbsp;<strong><em>Methodology/results</em>:</strong>&nbsp;We use the machine learning approach of quantile regression forest to produce&nbsp;probabilistic&nbsp;forecasts. Using a large&nbsp;patient-level data set, we extract the following categories of&nbsp;predictor&nbsp;variables: (1) calendar effects, (2) demographics, (3) staff count, (4) ED workload resulting from&nbsp;patient&nbsp;volumes, and (5) the severity of the&nbsp;patient&nbsp;condition. Our feature-rich modeling allows for dynamic updating and refinement of&nbsp;waiting-time&nbsp;estimates as&nbsp;patient- and ED-specific information (e.g.,&nbsp;patient&nbsp;condition, ED congestion levels) is revealed during the&nbsp;waiting&nbsp;process. The proposed approach generates more accurate&nbsp;probabilistic&nbsp;and point&nbsp;forecasts&nbsp;when compared with methods proposed in the literature for modeling&nbsp;waiting&nbsp;times&nbsp;and rolling average benchmarks typically used in practice.&nbsp;<strong><em>Managerial implications</em>:</strong>&nbsp;By providing personalized&nbsp;probabilistic&nbsp;forecasts, our approach gives low-acuity&nbsp;patients&nbsp;and first responders a more comprehensive picture of the possible&nbsp;waiting&nbsp;trajectory and provides more reliable inputs to inform prescriptive modeling of ED operations. We demonstrate that publishing&nbsp;probabilistic&nbsp;waiting-time&nbsp;estimates can inform&nbsp;patients&nbsp;and ambulance staff in selecting an ED from a network of EDs, which can lead to a more uniform spread of&nbsp;patient&nbsp;load across the network. Aspects relating to communicating&nbsp;forecast&nbsp;uncertainty to&nbsp;patients&nbsp;and implementing this methodology in practice are also discussed. For&nbsp;emergency&nbsp;healthcare service providers,&nbsp;probabilistic&nbsp;waiting-time&nbsp;estimates could assist in ambulance routing, staff allocation, and managing&nbsp;patient&nbsp;flow, which could facilitate efficient operations and cost savings and aid in better&nbsp;patient&nbsp;care and outcomes.</p>
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spelling oxford-uuid:66f4cc2b-f3a2-49c7-8592-33b1530932d12024-08-30T15:26:53ZProbabilistic forecasting of patient waiting times in an emergency departmentJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:66f4cc2b-f3a2-49c7-8592-33b1530932d1EnglishSymplectic ElementsINFORMS2023Arora, STaylor, JWMak, H-Y<p><strong><em>Problem definition</em>:</strong>&nbsp;We study the estimation of the&nbsp;probability&nbsp;distribution of individual&nbsp;patient&nbsp;waiting&nbsp;times&nbsp;in an&nbsp;emergency&nbsp;department&nbsp;(ED). Whereas it is known that&nbsp;waiting-time&nbsp;estimates can help improve&nbsp;patients&rsquo; overall satisfaction and prevent abandonment, existing methods focus on point&nbsp;forecasts, thereby completely ignoring the underlying uncertainty. Communicating only a point&nbsp;forecast&nbsp;to&nbsp;patients&nbsp;can be uninformative and potentially misleading.&nbsp;<strong><em>Methodology/results</em>:</strong>&nbsp;We use the machine learning approach of quantile regression forest to produce&nbsp;probabilistic&nbsp;forecasts. Using a large&nbsp;patient-level data set, we extract the following categories of&nbsp;predictor&nbsp;variables: (1) calendar effects, (2) demographics, (3) staff count, (4) ED workload resulting from&nbsp;patient&nbsp;volumes, and (5) the severity of the&nbsp;patient&nbsp;condition. Our feature-rich modeling allows for dynamic updating and refinement of&nbsp;waiting-time&nbsp;estimates as&nbsp;patient- and ED-specific information (e.g.,&nbsp;patient&nbsp;condition, ED congestion levels) is revealed during the&nbsp;waiting&nbsp;process. The proposed approach generates more accurate&nbsp;probabilistic&nbsp;and point&nbsp;forecasts&nbsp;when compared with methods proposed in the literature for modeling&nbsp;waiting&nbsp;times&nbsp;and rolling average benchmarks typically used in practice.&nbsp;<strong><em>Managerial implications</em>:</strong>&nbsp;By providing personalized&nbsp;probabilistic&nbsp;forecasts, our approach gives low-acuity&nbsp;patients&nbsp;and first responders a more comprehensive picture of the possible&nbsp;waiting&nbsp;trajectory and provides more reliable inputs to inform prescriptive modeling of ED operations. We demonstrate that publishing&nbsp;probabilistic&nbsp;waiting-time&nbsp;estimates can inform&nbsp;patients&nbsp;and ambulance staff in selecting an ED from a network of EDs, which can lead to a more uniform spread of&nbsp;patient&nbsp;load across the network. Aspects relating to communicating&nbsp;forecast&nbsp;uncertainty to&nbsp;patients&nbsp;and implementing this methodology in practice are also discussed. For&nbsp;emergency&nbsp;healthcare service providers,&nbsp;probabilistic&nbsp;waiting-time&nbsp;estimates could assist in ambulance routing, staff allocation, and managing&nbsp;patient&nbsp;flow, which could facilitate efficient operations and cost savings and aid in better&nbsp;patient&nbsp;care and outcomes.</p>
spellingShingle Arora, S
Taylor, JW
Mak, H-Y
Probabilistic forecasting of patient waiting times in an emergency department
title Probabilistic forecasting of patient waiting times in an emergency department
title_full Probabilistic forecasting of patient waiting times in an emergency department
title_fullStr Probabilistic forecasting of patient waiting times in an emergency department
title_full_unstemmed Probabilistic forecasting of patient waiting times in an emergency department
title_short Probabilistic forecasting of patient waiting times in an emergency department
title_sort probabilistic forecasting of patient waiting times in an emergency department
work_keys_str_mv AT aroras probabilisticforecastingofpatientwaitingtimesinanemergencydepartment
AT taylorjw probabilisticforecastingofpatientwaitingtimesinanemergencydepartment
AT makhy probabilisticforecastingofpatientwaitingtimesinanemergencydepartment