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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 187630, 16 pages
Research Article

A Team Study of a Multiple-Power Wireless Random Channel Access Mechanism with Capture Effect

1L-IR2M, Faculty of Sciences and Techniques Hassan 1st University, Settat, Morocco
2ENSEM-GREENTIC Hassan II University Casablanca, Morocco
3Engineering Division, ITAM, Mexico City, DF, Mexico
4University of Castilla La Mancha (UCLM), 02071 Albacete, Spain

Received 25 March 2013; Revised 24 June 2013; Accepted 25 June 2013

Academic Editor: Xu Zhang

Copyright © 2013 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.


We present a team analysis of a slotted random wireless channel access mechanism. Under the proposed scheme, denoted wireless random access mechanism with multiple power levels (MPL-WRA), each mobile station contends for a transmission opportunity following the principles of a slotted access mechanism incorporating a random transmitting power value selected among various available power levels. In this way, a capture effect may be produced allowing the packet to be decoded whenever the signal-to-interference-plus-noise ratio is higher than a given threshold. In order to analyze the performance and optimization of the proposed setup, we build a Markovian model integrating the wireless access mechanism supplemented by the use of multiple power levels in an attractive and simple cross-layer fashion. We follow a team problem approach allowing us to fine tune the design parameters of the overall system configuration. Throughout an extensive numerical analysis, our main results set the basis for the social optimal system configuration of the proposed mechanism taking into account the physical constraints of using multiple power levels and the actual practical implementation of a slotted access mechanism. We end the paper with concluding remarks and future research directions including guidelines for the actual implementation of our proposal.