Approximation of multiserver retrial queues by means of generalized truncated models

Date

2002

Authors

Anisimov, V. V.
Artalejo, J. R.

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Abstract

It is well-known that an analytical solution of multiserver retrial queues is difficult and does not lead to numerical implementation. Thus, many papers approximate the original intractable system by the so-called generalized truncated systems which are simpler and converge to the original model. Most papers assume heuristically the convergence but do not provide a rigorous mathematical proof. In this paper, we present a proof based on a synchronization procedure. To this end, we concentrate on the M/M/c retrial queue and the approximation developed by Neuts and Rao (1990). However, the methodology can be employed to establish the convergence of several generalized truncated systems and a variety of Markovian multiserver retrial queues.

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TOP

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Springer

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Published Version (Please cite this version)

Language

English