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Journal of Applied Mathematics
Volume 2014, Article ID 693212, 11 pages
Research Article

Max-Min Fair Link Quality in WSN Based on SINR

1Polytechnic University of Tirana, 1010 Tirana, Albania
2Université de Technologie de Compiègne, 60205 Compiègne Cedex, France
3University of Twente, 7500 AE Enschede, The Netherlands

Received 5 March 2014; Revised 21 May 2014; Accepted 23 May 2014; Published 23 June 2014

Academic Editor: Michał Pióro

Copyright © 2014 Ada Gogu 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 addresses first the problem of max-min fair (MMF) link transmissions in wireless sensor networks (WSNs) and in a second stage studies the joint link scheduling and transmission power assignment problem. Given a set of concurrently transmitting links, the MMF link transmission problem looks for transmission powers of nodes such that the signal-to-interference and noise ratio (SINR) values of active links satisfy max-min fairness property. By guaranteeing a “fair” transmission medium (in terms of SINR), other network requirements may be directly affected, such as the schedule length, the throughput (number of concurrent links in a time slot), and energy savings. Hence, the whole problem seeks to find a feasible schedule and a power assignment scheme such that the schedule length is minimized and the concurrent transmissions have a fair quality in terms of SINR. The focus of this study falls on the transmission power control strategy, which ensures that every node that is transmitting in the network chooses a transmission power that will minimally affect the other concurrent transmissions and, even more, achieves MMF SINR values of concurrent link transmissions. We show that this strategy may have an impact on reducing the network time schedule.