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In this paper, we propose a novel packet scheduling approach for quality-of-service support in the IEEE 802.16 systems. The proposed approach is a really compromised solution which has good performance on all evaluating aspects of data throughput, packet drop rate, and fairness. We discuss different scheduling strategies for 802.16 systems and propose a new scheduling approach based on both the concepts of weighted fair queuing and earliest deadline first. The simulation results show the superiority of our proposed approach over other ones.