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GPRS is part of the evolution path towards 3G. The paper investigates the effect of user mobility on packet transmission in GPRS. A simulator was developed to study the end-to-end behaviour of data transmission between a mobile client and a fixed server via GPRS and Internet. Simulation results show interruption in data delivery when the MS executes a routing area update procedure. A fair queuing algorithm is proposed to minimise update delay and packet loss. In addition, we give priority to all the mobility management-related packets to ensure that all MM-related packets are processed and reach their respective destinations with minimal delay. The obtained simulation results demonstrate that the proposed techniques give better routing area update performance than a FIFO service.