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In IEEE 802.16 networks, a subscriber station (SS) could be a single mobile user, a residence house, or an office building providing Internet service for multiple customers. Considering the heterogeneity among SSs which have different traffic load/demands, in the paper, we introduce the weighted proportional fair (WPF) scheduling scheme for best effort (BE) service in IEEE 802.16 networks to achieve the flexible and efficient resource allocation. Furthermore, an analytical model is developed to investigate the performance of WPF in terms of spectral efficiency, throughput, resource utilization, and fairness. Extensive simulations are conducted to illustrate the efficiency of the proposed scheme and verify the accuracy of the analytical model.