Worthington, D;
Utley, M;
Suen, D;
(2019)
Infinite-server queueing models of demand in healthcare: A review of applications and ideas for further work.
Journal of the Operational Research Society
10.1080/01605682.2019.1609878.
(In press).
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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.
| Type: | Article |
|---|---|
| Title: | Infinite-server queueing models of demand in healthcare: A review of applications and ideas for further work |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1080/01605682.2019.1609878 |
| Publisher version: | https://doi.org/10.1080/01605682.2019.1609878 |
| Language: | English |
| Additional information: | This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| Keywords: | Queueing models, infinite-server queues, health care |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics > Clinical Operational Research Unit |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10078199 |
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