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Infinite-server queueing models of demand in healthcare: A review of applications and ideas for further work

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  • David Worthington
  • Martin Utley
  • Dan Suen

Abstract

Despite the apparently unrealistic assumption of infinite resources, infinite-server queueing models have played a central role in the development of queueing theory and its applications. Healthcare modelling applications have certainly benefited from these models, where arguably their greatest importance has been to provide the basis for the analysis of “offered load” in systems with single or multiple nodes with multiple servers and time-varying arrivals. In this paper, we provide a review of major healthcare applications to date, identifying and consolidating the underpinning theoretical results and commenting on the nature of the applications. We conclude by identifying potential further healthcare applications, their relationships to existing theory and methods, and the need for new theory and methods, including the use of infinite-server models alongside other modelling methodologies.

Suggested Citation

  • David Worthington & Martin Utley & Dan Suen, 2020. "Infinite-server queueing models of demand in healthcare: A review of applications and ideas for further work," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 71(8), pages 1145-1160, August.
    • Handle: RePEc:taf:tjorxx:v:71:y:2020:i:8:p:1145-1160
    DOI: 10.1080/01605682.2019.1609878
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    Cited by:

    1. Bekker, René & uit het Broek, Michiel & Koole, Ger, 2023. "Modeling COVID-19 hospital admissions and occupancy in the Netherlands," European Journal of Operational Research, Elsevier, vol. 304(1), pages 207-218.

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