Person:
López Herrero, María Jesús

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First Name
María Jesús
Last Name
López Herrero
URI
https://hdl.handle.net/20.500.14352/77420
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Estudios estadísticos
Department
Estadística y Ciencia de los Datos
Area
Estadística e Investigación Operativa
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Author: Chakravarthy, S. R. × Subject: 519.8 ×

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    The busy period and the waiting time analysis of a MAP/M/c queue with finite retrial group
    (Stochastic Analysis and Applications, 2007) Artalejo Rodríguez, Jesús Manuel; Chakravarthy, S. R.; López Herrero, María Jesús
    We concentrate on the analysis of the busy period and the waiting time distribution of a multi-server retrial queue in which primary arrivals occur according to a Markovian arrival process (MAP). Since the study of a model with an infinite retrial group seems intractable, we deal with a system having a finite buffer for the retrial group. The system is analyzed in steady state by deriving expressions for (a) the Laplace–Stieltjes transforms of the busy period and the waiting time; (b) the probabiliy generating functions for the number of customers served during a busy period and the number of retrials made by a customer; and (c) various moments of quantites of interest. Some illustrative numerical examples are discussed.