Abstract
A study of the model of a cyclic (polling) system adequately describing the broadband wireless WiFi and WiMax centralized-control networks was presented. The server was assumed to have full information about the current system state. The queues are serviced by the exhaustive threshold discipline, that is, a queue is serviced if its length exceeds the given threshold. If the lengths of all queues are insufficient to start servicing, then the server stops polling the queue until any of them accumulates the required number of customers. Relying on the stationary probability distribution of the polling system states, the main performance characteristics such as the mean queue length, failure probability, and mean waiting time were established.
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Original Russian Text © V.M. Vishnevskii, D.V. Lakontsev, O.V. Semenova, S.A. Shpilev, 2006, published in Avtomatika i Telemekhanika, 2006, No. 12, pp. 123–135.
This work was supported by the Russian Foundation for Basic Research, project no. 06-07-90929.
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Vishnevskii, V.M., Lakontsev, D.V., Semenova, O.V. et al. A model of the polling system for studying the broadband wireless networks. Autom Remote Control 67, 1974–1985 (2006). https://doi.org/10.1134/S0005117906120095
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DOI: https://doi.org/10.1134/S0005117906120095