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July  2010, 6(3): 603-619. doi: 10.3934/jimo.2010.6.603

Receiver buffer behavior for the selective repeat protocol over a wireless channel: An exact and large-deviations analysis


SMACS Research Group, Department TELIN (IR07), Ghent University, St.-Pietersnieuwstraat 41, 9000 Gent, Belgium, Belgium

Received  September 2009 Revised  April 2010 Published  June 2010

In this paper, we formulate and analyze a model of the resequencing buffer at the receiver's side for the Selective Repeat protocol over a general class of transmission channels. Thanks to its efficiency, Selective Repeat is a ubiquitous error control mechanism in many different settings, in particular in wireless protocols such as WiMax and WiFi.
   In view of the correlated nature of transmission errors over wireless channels, the receiver buffer model considers a general Markovian error process. We provide both an exact mathematical analysis of the receiver buffer behavior as well as a computationally efficient large-deviations result. An asymptotic analysis of the delay is also given. Numerical examples show that the correlation of the error process has an important influence on the performance of the receiver buffer.
Citation: Koen De Turck, Sabine Wittevrongel. Receiver buffer behavior for the selective repeat protocol over a wireless channel: An exact and large-deviations analysis. Journal of Industrial & Management Optimization, 2010, 6 (3) : 603-619. doi: 10.3934/jimo.2010.6.603

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