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Beyond 3G wireless systems will support real-time (inelastic) and non real-time (elastic) traffic over a common packet-switched radio channel using QoS mechanisms to differentiate the traffic. A key challenge in accurately modelling user and system performance is to be able to simultaneously account for the impacts of mixed traffic types, QoS mechanism and varying radio channel. This paper presents a novel way of extending and combining a number of techniques into a single approximate analytic methodology for providing fast and accurate performance analysis of multiple inelastic and elastic traffic classes, subject to pre-emptive priority for the inelastic traffic. The methodology is compared to simulation for a range of guaranteed bit rate requirements for the inelastic traffic and overall system traffic loads, with the results showing excellent agreement between the model and simulation.