Citation: Terning, G.; El-Thalji, I.;
Brun, E.C. The Impact of Patient
Infection Rate on Emergency
Department Patient Flow: Hybrid
Simulation Study in a Norwegian
Case. Healthcare 2023, 11, 1904.
https://doi.org/10.3390/
healthcare11131904
Academic Editors:
Tommaso Staniscia, Giuseppe Di
Martino and Fabrizio Cedrone
Received: 27 April 2023
Revised: 23 June 2023
Accepted: 27 June 2023
Published: 30 June 2023
Copyright: © 2023 by the authors.
Licensee MDPI, Basel, Switzerland.
This article is an open access article
distributed under the terms and
conditions of the Creative Commons
Attribution (CC BY) license (https://
creativecommons.org/licenses/by/
4.0/).
healthcare
Article
The Impact of Patient Infection Rate on Emergency Department
Patient Flow: Hybrid Simulation Study in a Norwegian Case
Gaute Terning
1,
* , Idriss El-Thalji
2
and Eric Christian Brun
1
1
Departmentof Safety, Economics, and Planning, University of Stavanger, 4036 Stavanger, Norway
2
Department of Mechanical and Structural Engineering and Materials Science, University of Stavanger,
4036 Stavanger, Norway
* Correspondence: gaute.terning@uis.no
Abstract: The COVID-19 pandemic put emergency departments all over the world under severe
and unprecedented distress. Previous methods of evaluating patient flow impact, such as in-situ
simulation, tabletop studies, etc., in a rapidly evolving pandemic are prohibitively impractical,
time-consuming, costly, and inflexible. For instance, it is challenging to study the patient flow in
the emergency department under different infection rates and get insights using in-situ simulation
and tabletop studies. Despite circumventing many of these challenges, the simulation modeling
approach and hybrid agent-based modeling stand underutilized. This study investigates the impact
of increased patient infection rate on the emergency department patient flow by using a developed
hybrid agent-based simulation model. This study reports findings on the patient infection rate
in different emergency department patient flow configurations. This study’s results quantify and
demonstrate that an increase in patient infection rate will lead to an incremental deterioration of
the patient flow metrics average length of stay and crowding within the emergency department,
especially if the waiting functions are introduced. Along with other findings, it is concluded that
waiting functions, including the waiting zone, make the single average length of stay an ineffective
measure as it creates a multinomial distribution of several tendencies.
Keywords: healthcare; emergency department; patient flow; patient infection rate; COVID-19 pandemic;
agent-based hybrid model; multi-agent hybrid model; pandemic decision support
1. Introduction
The COVID-19 pandemic has placed a significant burden on the healthcare system
since early 2020 and was pronounced by the world health organization (WHO) to constitute
a global public health emergency of international concern [1]. Emergency departments had
to amend their patient flow policies to concord with the risk of infection and ramifications
associated with contracting the virus [2,3]. The emergency department managers had to
modify their patient flow policies to deal with the threat of people who may have contracted
the SARS-CoV-2, an illness known to be with a high infection rate. In this unprecedented
and challenging time, emergency department managers had to change the patient flow
operations to adhere to governmental regulations such as social distancing, minimizing
personal contact, utilizing personal protective equipment, extra sanitary measures, as well
as other organization-specific guidelines [4,5].
The COVID-19 virus, recognized for its rapid mutation rate [6], high infection rate [7],
and potential severity in immunocompromised patients [8], has highlighted the importance
of proactive threat assessment and analysis, ideally achieving this with maximum flexibility,
minimal risk, and cost-effectiveness. The COVID-19 pandemic has renewed focus on patient
flow within emergency departments, requiring reconsidering clinical patient management
strategies [8–10].
Hospital emergency departments represent multifaceted systems characterized by
numerous dynamic parameters, which make the task of assessing the comprehensive
Healthcare 2023, 11, 1904. https://doi.org/10.3390/healthcare11131904 https://www.mdpi.com/journal/healthcare