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In this paper, the performance of three different fair resource allocation strategies for packet data transmission in wireless networks with link adaptation (LA) is mathematically analyzed. The strategies aim at achieving fair access, fair transmission rate or simultaneous fair access and transmission rate. As a case study, the performance of the considered strategies is evaluated in GSM/EGPRS networks in terms of call blocking probability for voice packet data users and system throughput. However, the analysis is valid for any Radio Transmission Technology that uses LA techniques. For the mathematical analysis, packet data traffic (i.e., IP) is modeled as a process showing pseudo-long range dependence. In particular, to capture their bursty nature, packet data arrivals are considered to follow a Modulated Markov Poisson Process (MMPP) process. Numerical results show that voice calls get lower blocking probability than data packet transmissions when a fair access resource allocation strategy is used. Also, a trade off between (access and/or transmission rate) fairness and system utilization is observed. Finally, it is also shown that high grade of burstiness significantly degrades the system performance.