Analyzing retrial queues by censoring |
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| Authors: | Bin Liu Yiqiang Q. Zhao |
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| Affiliation: | (1) Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614-0506, USA;(2) Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, No. 55 Zhongguancun East Road, 100190 Beijing, China;(3) School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa, ON, K1S 5B6, Canada |
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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. |
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