A new model for the M/G/1 retrial queve

Guennadi I. Falin, Antonio Rodrigo Fernández and Mercedes Vázquez Furelos
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Guennadi I. Falin: Department of Probability, Mechanics and Mathematics Faculty. Moscow State University.
Antonio Rodrigo Fernández: Departamento de Fundamentos del Análisis Económico I (Análisis Económico). Universidad Complutense de Madrid., https://www.ucm.es//departamento-de-analisis-economico-y-economia-cuantitativa
Mercedes Vázquez Furelos: Departamento de Fundamentos del Análisis Económico I (Análisis Económico). Universidad Complutense de Madrid., https://www.ucm.es//departamento-de-analisis-economico-y-economia-cuantitativa

No 94-11, Documentos de trabajo de la Facultad de Ciencias Económicas y Empresariales from Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales

Abstract: This article deals with a new model for the M/G/1 retrial queue. We consider the process (M(t),N(t)) where M(t) is the total number of arrivals from the last departure until time t and N(t) is the number of customers in orbit at time t. We obtain the generating function together with a recurrent formula for factorial moments in the steady state. Limit behavior under heavy traffic is also studied. We use this process to get an estimator of the parameter of retrial and obtain its accuracy by solving some linear differential equations. We also give some numerical examples.

Keywords: Retrial queues; Factorial moments; Heavy traffic; Direct estimator; Accuracy. (search for similar items in EconPapers)
Pages: 25 pages
Date: 1994
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