A Queueing Model of Activities in an Intensive Care Unit

Griffiths, Jeffrey Deacon, Price-Lloyd, Naomi, Smithies, M. and Williams, Janet Elizabeth 2006. A Queueing Model of Activities in an Intensive Care Unit. IMA Journal of Management Mathematics 17 (3) , pp. 277-288. 10.1093/imaman/dpi042

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Abstract

Activities in an intensive care unit (ICU) at a major teaching hospital are modelled by means of a queue-theoretic approach. Using data supplied by the ICU relating to the admissions process, the bed availability and the length of stay of patients, it was possible to fit theoretical distributions to the observed ‘arrival’ and ‘service’ distributions. Queueing equations relevant to a multi-channel system having random arrivals and hyper-exponential service times for each channel are set up, and solved iteratively. Results obtained match well with observations, and the model is then utilised to investigate several ‘what if? ’ scenarios. Reference is made to a simulation model developed in conjunction with the queueing model.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Medicine Mathematics
Subjects:	G Geography. Anthropology. Recreation > GA Mathematical geography. Cartography Q Science > QA Mathematics R Medicine > R Medicine (General)
Uncontrolled Keywords:	queues; intensive care unit; bed-management
Publisher:	Oxford University Press
ISSN:	1471-6798
Last Modified:	15 Dec 2017 08:37
URI:	https://orca.cardiff.ac.uk/id/eprint/1747

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