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Mean Value Analysis Of Single Server Retrial Queues

Artalejo, Jesús R. and Resing, J.A.C. (2010) Mean Value Analysis Of Single Server Retrial Queues. Asia-Pacific Journal of Operational Research, 27 (3). pp. 335-345. ISSN 0217-5959

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Abstract

Mean value analysis is an elegant tool for determining mean performance measures in queueing models. In this paper we show how mean value analysis can be applied to retrial queues. First, we illustrate the technique for the standard M/G/1 retrial queue with exponential retrial times. After that we show how the relations can be adapted to obtain mean performance measures in more advanced M/G/1-type retrial queues.

Item Type:Article
Uncontrolled Keywords:Retrial queue; Mean value analysis
Subjects:Sciences > Mathematics > Stochastic processes
ID Code:15113
References:

I.J.B.F. Adan and J.A.C. Resing (2001). Lecture Notes Queueing Theory, Eindhoven University of Technology, http://www.win.tue.nl/iadan/queueing.pdf.

J.R. Artalejo and G. Choudhury (2004). Steady state analysis of anM/G/1 queue with repeated attempts and two-phase service. Quality Technology & Quantitive Management 1, 189–199.

G.I. Falin (1986). Single-line repeated orders queueing systems. Optimization 17,649–667.

G.I. Falin and J.G.C. Templeton(1997).RetrialQueues,Chapman and Hall,London.

S.W. Fuhrmann and R.B. Cooper (1985). Stochastic decompositions in the M/G/1 queue with generalized vacations. Operations Research 33, 1117–1129.

A. G´omez-Corral (1999). Stochastic analysis of a single server retrial queue with general retrial times. Naval Research Logistics 46, 561–581.

E.M.M. Winands, I.J.B.F. Adan and G.J. van Houtum (2006). Mean value analysis for polling systems. Queueing Systems 54, 35–44.

Deposited On:07 May 2012 08:46
Last Modified:06 Feb 2014 10:16

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