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Título:
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The busy period and the waiting time analysis of a MAP/M/c queue with finite retrial group
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Autores:
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Artalejo, Jesús R. ;
Chakravarthy, S. R. ;
Lopez-Herrero, M. J.
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Tipo de documento:
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texto impreso
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Editorial:
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Taylor & Francis Inc, 2007-03-07
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Investigación operativa
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Tipo = Artículo
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Resumen:
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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.
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En línea:
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https://eprints.ucm.es/id/eprint/15473/1/arta26.pdf
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