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Mobile WiMAX's scheduling service is a key factor in Radio Resource Management (RRM) in realizing Quality of Service (QoS). The choice in scheduling algorithm for Mobile WiMAX base stations, albeit outside of the scope of the standard, critically impacts the performance and robustness of Mobile WiMAX networks. This paper provides an in-depth study of four major scheduling algorithms: Round Robin (RR), Max CINR (MC), Fair Throughput (FT) and Proportional Fair (PF). Within the framework of Mobile WiMAX, we also discuss the implementation methodology and tradeoffs associated with these scheduling algorithms. Various Mobile WiMAX scenarios are simulated and analyzed using our Mobile WiMAX ns-2 model for performance throughput efficiency and resource allocation fairness.