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Time-dependent analysis of non-empty M/Ek/1 queue

Griffiths, Jeffrey Deacon, Leonenko, Ganna M. ORCID: 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.

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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
Date Type: Publication
Status: Published
Schools: Mathematics
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

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