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

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

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Article ID: iaor200952632
Country: United States
Volume: 20
Issue: 4
Start Page Number: 510
End Page Number: 515
Publication Date: Sep 2008
Journal: INFORMS Journal On Computing
Authors: , ,
Keywords: M/EK/1 queues
Abstract:

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.

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