Large sample inference in retrial queues

Authors:
A. Rodrigo;M. Vázquez
Affiliations:
Departamento de Analisis Economico Facultad de Ciencias Económicas Universidad Complutense de Madrid Campus de Somosaguas, 28223 Madrid, Spain;Departamento de Analisis Economico Facultad de Ciencias Económicas Universidad Complutense de Madrid Campus de Somosaguas, 28223 Madrid, Spain
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1999

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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.