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In this paper, we present a traffic scheduling framework for allocating the upstream channel bandwidth in broadband wireless access systems, where both voice and data applications are supported. Our traffic scheduling framework is aimed at supporting diverse QoS requirements and obtaining high utilization of the upstream bandwidth. It prioritizes traffic streams according to different classes of service, and provides fair access of bandwidth to the users. The presented framework consists of three algorithms: a calibration algorithm for the jittered constant bit rate (CBR) traffic, a scheduling algorithm for the jittered CBR traffic, and a scheduling algorithm for the unspecified bit rate traffic. The proposed algorithms are feasible when either the asynchronous transfer mode or multi-protocol label switching protocol is deployed at the network edge. Simulation results are presented to demonstrate the effectiveness of our algorithms in achieving high bandwidth utilization and the good traffic performance in terms of both cell loss ratio and mean queuing delay.