Analyzing retrial queues by censoring

Authors:
Bin Liu;Yiqiang Q. Zhao
Affiliations:
Department of Mathematics, University of Northern Iowa, Cedar Falls, USA 50614-0506 and Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing, China 100080;School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa, Canada K1S 5B6
Venue:
Queueing Systems: Theory and Applications
Year:
2010

Citing 9
Cited 0

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Abstract

In this paper we analyze the M/M/c retrial queue using the censoring technique. This technique allows us to carry out an asymptotic analysis, which leads to interesting and useful asymptotic results. Based on the asymptotic analysis, we develop two methods for obtaining approximations to the stationary probabilities, from which other performance metrics can be obtained. We demonstrate that the two proposed approximations are good alternatives to existing approximation methods. We expect that the technique used here can be applied to other retrial queueing models.