A new procedure to estimate waiting time in GI/G/2 system by server observation

A new procedure to estimate waiting time in GI/G/2 system by server observation

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Article ID: iaor20014210
Country: United Kingdom
Volume: 28
Issue: 6
Start Page Number: 597
End Page Number: 611
Publication Date: May 2001
Journal: Computers and Operations Research
Authors: , ,
Keywords: simulation: applications
Abstract:

Most GI/G/2 queueing formulae need the variance of inter-arrival time, which is in many cases more difficult to estimate than the other values used in the formulae such as the mean of inter-arrival time, mean of service time and variance of service time. This paper presents a new GI/G/2 queueing formula which uses a slightly different set of data easier to obtain than the variance of inter-arrival time. The key variables are the numbers of system busy periods and system idle periods. Also, it is shown, by simulation, that the waiting time estimation error from the new formula is far less than from other popular queueing formulae which use the first two moments of service time and inter-arrival time over a wide range of coefficient of variation.

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