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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 614158, 14 pages
Research Article

Hierarchical Slotted Wireless Random Channel Access with Power Control

1LIA/CERI, University of Avignon, Agroparc, BP 1228, 84911 Avignon, France
2University of Castilla La Mancha (UCLM), 02071 Albacete, Spain
3Engineering Division, ITAM, 01080 Mexico, DF, Mexico
4L-IR2M, Faculty of Sciences and Techniques, Hassan 1st University, Settat, Morocco

Received 20 November 2014; Accepted 26 March 2015

Academic Editor: Gisele Mophou

Copyright © 2015 Abdelillah Karouit et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper introduces a hierarchical Wireless Random Access scheme based on power control where intelligence is split among the mobile users in order to drive the outcome of the system towards an efficient point. The hierarchical game is obtained by introducing a special user who plays the role of altruistic leader whereas the other users assume the role of followers. We define the power control scheme in such a way that the leader_first chooses the lowest power to transmit its packets among available levels whereas the followers re-transmit by randomly choosing a power level picked from higher distinct power levels. Using a 3D Markovian model, we compute the steady state of the system and derive the average system throughput and expected packet transmission delay. Our numerical results show that the proposed scheme considerably improves the global performance of the system avoiding the well known throughput collapse at high loads commonly characterizing most random channel access mechanisms.