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 |
Official URL: http://www.sciencedirect.com/science/article/pii/S...
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 |
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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: | 01 Dec 2022 10:21 |
URI: | https://orca.cardiff.ac.uk/id/eprint/1748 |
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