The Age or Excess of the M|G|inf Queue Busy Cycle Mean Value

In this work, approximate and exact results concerning a performance measure of the ∞ system, the age or the excess of the busy cycle, are presented. It will be seen that it is also a measure of the busy period performance. Service distributions for which it is given for a simple expression and othe...

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Bibliographic Details
Main Author: Ferreira, Manuel Alberto M. (author)
Other Authors: Andrade, Marina (author), Filipe, José António (author)
Format: article
Language:eng
Published: 2013
Subjects:
Online Access:http://hdl.handle.net/10071/5582
Country:Portugal
Oai:oai:repositorio.iscte-iul.pt:10071/5582
Description
Summary:In this work, approximate and exact results concerning a performance measure of the ∞ system, the age or the excess of the busy cycle, are presented. It will be seen that it is also a measure of the busy period performance. Service distributions for which it is given for a simple expression and others for which this does not happen are considered. For this last case, bounds are deduced. A special emphasis is given to the exponential distribution and to those related with it, useful in reliability theory.