Template-Type: ReDIF-Paper 1.0
Author-Name: Guennadi I. Falin
Author-Workplace-Name: Department of Probability, Mechanics and Mathematics Faculty. Moscow State University.
Author-Name: Antonio Rodrigo Fernández
Author-Workplace-Name: Departamento de Fundamentos del Análisis Económico I (Análisis Económico). Universidad Complutense de Madrid.
Author-Workplace-Homepage:
 https://www.ucm.es//departamento-de-analisis-economico-y-economia-cuantitativa
Author-Name: Mercedes Vázquez Furelos
Author-Workplace-Name: Departamento de Fundamentos del Análisis Económico I (Análisis Económico). Universidad Complutense de Madrid.
Author-Workplace-Homepage:
 https://www.ucm.es//departamento-de-analisis-economico-y-economia-cuantitativa
Title: A new model for the M/G/1 retrial queve
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.
Length: 25 pages

Creation-Date: 1994
Number:
 94-11
X-File-Ref: http://america.sim.ucm.es/repec/ucm/ref/doctra94-11.txt
File-URL: https://eprints.ucm.es/id/eprint/26374/1/9411.pdf
File-Format: Application/pdf
Handle: RePEc:ucm:doctra:94-11