Queues under stochastic priority switching

Palmer, Geraint Ian ORCID: https://orcid.org/0000-0001-7865-6964, Panayidis, Michalis, Knight, Vincent ORCID: https://orcid.org/0000-0002-4245-0638 and Williams, Elizabeth ORCID: https://orcid.org/0000-0003-4515-441X 2025. Queues under stochastic priority switching. Journal of the Operational Research Society 10.1080/01605682.2025.2525939

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Abstract

In this paper a generalised model of dynamic and stochastic changing priorities within an M/M/c queue is presented. Simulation and Markov chain models are given that describe the behaviour of such systems, and their stationarity is explored. Bounded approximations of the Markov models are given, and measures of their accuracy in approximating the infinite versions given. Finally the models are used to model a waiting list for surgical endoscopy with unknown service disciplines, fitting system parameters to reflect the queue behaviour. An exploration of behaviour under different class change parameters is given for a better understanding of the system.

Item Type:	Article
Date Type:	Published Online
Status:	In Press
Schools:	Schools > Mathematics
Publisher:	Palgrave Macmillan
ISSN:	0160-5682
Date of First Compliant Deposit:	9 July 2025
Date of Acceptance:	24 June 2025
Last Modified:	17 Jul 2025 10:40
URI:	https://orca.cardiff.ac.uk/id/eprint/179656

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