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The transient solution to M/Ek/1 queue

Griffiths, Jeffrey Deacon, Leonenko, Ganna M. 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: Mathematics
Medicine
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: 15 Dec 2017 08:37
URI: http://orca.cf.ac.uk/id/eprint/1748

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