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Radio resource management (RRM) techniques used in Worldwide Interoperability for Microwave Access (WiMAX) can provide for many of the services and features promised by 4G wireless networks, such as supporting multimedia services with high data rates, and wide coverage area, as well as all-IP with quality of service (QoS) support and security. In this paper we propose a new scheduling scheme and admission control policy for WiMAX that efficiently enhances performance and utilizes resources, while being fair, practical and in compliance with the IEEE 802.16 specifications. Our scheduler is dynamic and based on hierarchical and ad-hoc models. Our solution provides QoS support to all traffic classes defined by the standard, and it dynamically changes the bandwidth allocation depending on the traffic characteristics and service demands. Simulation results show that the proposed solution can deliver QoS support and be fair to all classes of service in a WiMAX network.