Time-dependent analysis of non-empty M/E k/1 queue

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/E k/1 queue. Quality Technology and Quantitative Management 5 (3) , pp. 309-320. 10.1080/16843703.2008.11673403

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Abstract

The purpose of this paper is to provide an explicit time-dependent solution for the M/Ek/I 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 Medicine MRC Centre for Neuropsychiatric Genetics and Genomics (CNGG)
Publisher:	Taylor and Francis
ISSN:	1684-3703
Last Modified:	12 Aug 2024 08:21
URI:	https://orca.cardiff.ac.uk/id/eprint/1711

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