The general two-server queueing loss system: Discrete-time analysis and numerical approximation of continuous-time systems

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Resumen

The Erlang Loss formula is a widely used model for determining values of the long-run proportion of customers that are lost (/?loss values) in multi-server loss systems with Poisson arrival processes. There is a need for models that are less restrictive. Here, the general two-server loss system is investigated with no restrictions on the form that the renewal type input process takes; i.e. the underlying model is based on the GI/G/2 model of queueing theory. The analysis is carried out in discrete time leading to a compact system of equations that can be solved numerically, or in special cases exactly, to obtain /?loss values. Exact results are obtained for some specific loss systems involving geometric distributions and, by taking appropriate limits, these results are extended to their continuous-time counterparts. A simple numerical procedure is developed to allow systems involving arbitrary continuous distributions to be approximated by the discrete-time model, leading to very accurate results for a set of test problems.

Idioma originalInglés
Páginas (desde-hasta)386-397
Número de páginas12
PublicaciónJournal of the Operational Research Society
Volumen46
N.º3
DOI
EstadoPublicada - mar. 1995
Publicado de forma externa

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