Griffiths, Jeffrey Deacon, Leonenko, Ganna M. ORCID: https://orcid.org/0000-0001-8025-661X and Williams, Janet Elizabeth 2008. Time-dependent analysis of non-empty M/Ek/1 queue. Quality Technology and Quantitative Management 5 (3) , pp. 309-320. |
Official URL: http://web.it.nctu.edu.tw/~qtqm/qtqmpapers/2008V5N...
Abstract
The purpose of this paper is to provide an explicit time-dependent solution for the / /1 k M E queueing system when initially there are "a" customers in the system. The solution is expressed in terms of a generalised modified Bessel function of the second type. Computation results are provided as well as an application of this model to a 24-hour traffic flow profile on the Severn Bridge.
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, generalised modified Bessel function, transient solution |
Publisher: | NCTU Publication Press and FCU Press |
ISSN: | 1684-3703 |
Last Modified: | 07 Feb 2023 16:22 |
URI: | https://orca.cardiff.ac.uk/id/eprint/32979 |
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