RT Report T1 An approximation to the variance of an integral estimator of the retrial parameter in the M/G/1 retrial queue A1 Rodrigo Fernández, Antonio A1 Vázquez Furelos, Mercedes A1 Falin, Guennadi I. AB En este artículo se obtiene una expresión explicita de la varianza asintótica de un estimador integral del parámetro de reintento en un sistema de colas M/G/1 con reintentos. Dicha expresión se obtiene resolviendo ciertas ecuaciones diferenciales y depende de los momentos factoriales del proceso (M(t),N(t)), donde M(t) es el número total de llegadas desde que se produce la última salida hasta el instante t y N(t) el número de individuos en órbita en el instante t. AB In this article we obtain an explicit expression for the asymptotic variance of an integral estimator of the retrial parameter in the M/G/1 retrial queue. This expression is obtained by solving some linear differential equations and it depends on the factorial moments of the stochastic 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. PB Facultad de Ciencias Económicas y Empresariales. Decanato YR 1996 FD 1996 LK https://hdl.handle.net/20.500.14352/64120 UL https://hdl.handle.net/20.500.14352/64120 LA eng NO Falin, G.I. (1990). A Survey of Retrial Queues. Queueing Systems 7, 127-168.Falin, G.I. (1996). Estimation of Retrial Rate in a Retrial Queue. Queueing Systems (forthcoming).Hoffman, K.L. and Harris, C.M. (1986). Estimation of a Caller Retrial Rate for a Telephone Information System. European Journal of Operational Research 27, 215-228.Keilson J., Cozzolino J. and Young H. (1968). A Service System with Unfilled Request Repeated. Operations Research 16, 1126-1137.Lewis, A. and Leonard, G. (1982). Measurements of Repeat Call Attempts in the Intercontinental Telephone Service. Proceedings of ITC-10, Session 2.4, paper Nº 2.Rodrigo, A., Vázquez, M. and Falin, G. (1996). A New Markovian Description of the M/G/1 Retrial Queue. European Journal of Operational Research (forthcoming).Warfield, R. and Foers, G. (1985). Application of Bayesian Teletraffic Measurement to System with Queueing or Repeated Calls. Teletraffic Issues in an Advanced Information Society, ITC-11, Elsevier Science Publishers B.V. (North-Holland), 1003-1009.Yang, T. and Templeton, J.G.C. (1987). A Survey on Retrial Queues. Queueing Systems 2, 201-233. DS Docta Complutense RD 6 may 2024