The transient solution to M/Ek/1 queue

Griffiths, Jeffrey Deacon, Leonenko, Ganna M. ORCID: https://orcid.org/0000-0001-8025-661X and Williams, Janet Elizabeth 2006. The transient solution to M/Ek/1 queue. Operations Research Letters 34 (3) , pp. 349-354. 10.1016/j.orl.2005.05.010

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Abstract

The single-channel queueing equations considered in this paper are characterised by Poisson-distributed arrivals and Erlang service times. The transient phase probabilities are obtained in terms of a new generalisation of the modified Bessel function, and the mean waiting time in the queue is evaluated.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics Schools > Medicine Research Institutes & Centres > MRC Centre for Neuropsychiatric Genetics and Genomics (CNGG)
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Erlang service times; Transient solution; Generalisated modified Bessel function
Publisher:	Elsevier
ISSN:	0167-6377
Last Modified:	01 Dec 2022 10:21
URI:	https://orca.cardiff.ac.uk/id/eprint/1748

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