Queuing Networks in Health Care Systems

Zonderland, Maartje E.

doi:10.1007/978-1-4614-1734-7_9

Cited by 14 publications

(11 citation statements)

References 41 publications

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“…“Queueing theory” has been mostly applied in healthcare ( 18 ) to enhance the performance of operating rooms ( 16 ), outpatients settings waiting times ( 9 ) and hospital bed management ( 31 ). It is starting to be applied to vaccination campaigns as well ( 2 , 32 ).…”

Section: Discussionmentioning

confidence: 99%

Queueing Theory and COVID-19 Prevention: Model Proposal to Maximize Safety and Performance of Vaccination Sites

Pumpo

Ianni

Miccoli

et al. 2022

Front. Public Health

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IntroductionCOVID-19 (Coronavirus Disease 19) has rapidly spread all around the world. Vaccination represents one of the most promising counter-pandemic measures. There is still little specific evidence in literature on how to safely and effectively program access and flow through specific healthcare settings to avoid overcrowding in order to prevent SARS-CoV-2 transmission. Literature regarding appointment scheduling in healthcare is vast. Unpunctuality however, especially when targeting healthcare workers during working hours, is always possible. Therefore, when determining how many subjects to book, using a linear method assuming perfect adhesion to scheduled time could lead to organizational problems.MethodsThis study proposes a “Queuing theory” based approach. A COVID-19 vaccination site targeting healthcare workers based in a teaching hospital in Rome was studied to determine real-life arrival rate variability. Three simulations using Queueing theory were performed.ResultsQueueing theory application reduced subjects queueing over maximum safety requirements by 112 in a real-life based vaccination setting, by 483 in a double-sized setting and by 750 in a mass vaccination model compared with a linear approach. In the 3 settings, respectively, the percentage of station's time utilization was 98.6, 99.4 and 99.8%, while the average waiting time was 27.2, 33.84, and 33.84 min.ConclusionsQueueing theory has already been applied in healthcare. This study, in line with recent literature developments, proposes the adoption of a Queueing theory base approach to vaccination sites modeling, during the COVID-19 pandemic, as this tool enables to quantify ahead of time the outcome of organizational choices on both safety and performance of vaccination sites.

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Section: Discussionmentioning

confidence: 99%

Queueing Theory and COVID-19 Prevention: Model Proposal to Maximize Safety and Performance of Vaccination Sites

Pumpo

Ianni

Miccoli

et al. 2022

Front. Public Health

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“…Teori antrian (queuing theory) pada dasarnya merupakan pendekatan matematis [12], dikenal sebagai bagian dari riset operasi [13]. Antrian dicirikan oleh kedatangan dan proses layanan, jumlah server, dan kedisiplinan layanan [14]. Selain itu, antrian juga terkait dengan slotted service systems yang memungkinkan konsumen atau pengunjung untuk datang kembali [15].…”

Section: Pendahuluanunclassified

Simulasi Penerapan Teori Antrian Dalam Pembatasan Pengunjung Objek Wisata

Setiawan

Sukoco

Harini

2021

BAREKENG: J. Il. Mat. & Ter.

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Restrictions of the visitor on the tourism places is one of the mechanism of health protocol that carried out during the new normal era. This restriction become a dilemma since the manager of the tourism places want to maximize their profit by allowing all visitor, while the government still limiting the number of visitor to avoid crowding. Otherwise, real-time monitoring of the number of visitor somewhat difficult since they can come in and leave the tourism places at any time. In this study we implement the queuing theory to solve this problem. The visitor of the tourism places is modelled as the customer, while the time spent by them in the tourism places is modelled as the serving duration. By estimating the average of time spent by the visitor and determine the average number of arrivals during the specified time, the number of visitor in the tourism place can be estimated as the number of people in the queuing system. As a preliminary study, this paper only focused on two queuing model, namely the M/M/1 and M/G/1. Further study is needed to develop the model and calibrate it using the data from a specified tourism place.

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“…As provided in the online Appendix C. This overview shows the blocking probability for a given patient load (demand) assigned to wards of different sizes (capacities); when multiple specialties are assigned to the same ward, the total patient load over all assigned specialties must be considered. The blocking probabilities are calculated using the Erlang loss formula, assuming a Poisson arrival rate to the system, see Zonderland and Boucherie (2011) for details.…”

Section: Preparation: Required Materialsmentioning

confidence: 99%

Game—The BedGame—A Classroom Game Based on Real Healthcare Challenges

Vliegen

Zonderland

2017

INFORMS Transactions on Education

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Abstract. The BedGame is a classroom game to introduce Operations Management (OM) in healthcare, more specifically to introduce the effects of centralized versus decentralized planning, and the concepts of variability and queueing theory. In the BedGame, players assign medical and surgical specialties to nursing wards to obtain a balanced bed distribution, while fulfilling as many of the specialty-specific requirements as possible. The game was first designed to support decision making in a hospital in The Netherlands, and afterwards converted to a classroom game. The game has been successfully used in several courses at the University of Twente including "Operations Management in Health Care" (undergraduate), "Quantitative Methods for Operations Management in Health Care" (graduate), and a course on patient logistics for healthcare professionals.

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Queuing Networks in Health Care Systems

Cited by 14 publications

References 41 publications

Queueing Theory and COVID-19 Prevention: Model Proposal to Maximize Safety and Performance of Vaccination Sites

Queueing Theory and COVID-19 Prevention: Model Proposal to Maximize Safety and Performance of Vaccination Sites

Simulasi Penerapan Teori Antrian Dalam Pembatasan Pengunjung Objek Wisata

Game—The BedGame—A Classroom Game Based on Real Healthcare Challenges

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