Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Approximation to the Transient Solution of the M/Ek/1 Queue

Griffiths, Jeffrey Deacon, Leonenko, Ganna M. ORCID: and Williams, Janet Elizabeth 2008. Approximation to the Transient Solution of the M/Ek/1 Queue. INFORMS Journal on Computing 20 (4) , pp. 510-515. 10.1287/ijoc.1070.0262

Full text not available from this repository.


This paper considers the Erlang queueing system M/Ek/1, where customers arrive at random at mean rate λ and the service times have an Erlang distribution with parameter k and mean service rate μ. It is difficult to obtain a transient solution in explicit form to the queue equations because of their complex structure. We propose a simple method of computing Wq(t)—the mean waiting time of a customer arriving in the queue at time t, based on an exponential function approximation.

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: queues; approximations; numerical methods
Publisher: INFORMS
ISSN: 1091-9856
Last Modified: 07 Feb 2023 16:22

Citation Data

Cited 3 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item