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The global demand for Internet access services has increased at a notable rate in recent years. The quality of service (QoS) of several real time multimedia applications has become a crucial research topic. One of the challenges to achieve QoS requirements is to determine how to allocate system bandwidth to various applications with the respect of their QoS requirements. In this paper, we proposed a bandwidth allocation algorithm based on QoS requirements of different traffic types in mobile WiMAX. Our proposed admission control scheme is suitable for real time applications as it gives more priority to real time service classes. The performance comparison through simulation experiments verify that the proposed algorithm operates effectively and efficiently in terms of minimizing the call blocking probability for different traffic types.