Large sample inference in retrial queues

Large sample inference in retrial queues

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Article ID: iaor20013024
Country: Netherlands
Volume: 30
Issue: 3/4
Start Page Number: 197
End Page Number: 206
Publication Date: Mar 1999
Journal: Mathematical and Computer Modelling
Authors: ,
Keywords: retrial systems, GI/G/1 queues
Abstract:

We analyze retrial queueing systems from a statistical viewpoint. We consider a general G/G/1 retrial queue where the flow of repeated attempts can be non-Markovian. We observe the operation of the system over a random time interval (0, T] focusing on the case where T is a departure epoch. We obtain some asymptotic relationship among the random variables involved, even when the system in nonergodic. This allows us to get asymptotically Gaussian consistent estimators for the unknown parameters in a parametric context.

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