The busy period and the waiting time analysis of a MAP/M/c queue with finite retrial group

Document Type

Article

Publication Date

2-27-2007

Publication Title

Stochastic Analysis and Applications

Abstract

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.

Volume

25

Issue

2

First Page

445

Last Page

469

DOI

10.1080/07362990601139651

ISSN

0736-2994 (print) 1532-9356 (online)

Rights

© 2007 Informa UK Limited. All rights reserved.

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