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Resource reservation is a key management function in future wireless networks, particularly to provide high-end multimedia applications to mobile users with quality of service (QoS) guarantees and to optimize the overall system resource utilization. In prediction based resource reservation, the radio resource is reserved from an a priori estimation of the future traffic load. In this paper, we have presented a scheme for proactive resource reservation in next generation wireless networks. In this scheme, the future traffic estimation is based on Normalized Least Mean Square (NLMS) adaptive filtering method. Based on the estimated characteristic of future traffic load, network congestion notification and network utility factor are evaluated. We have applied tele-traffic theory based on these two parameters to optimize the resource reservation scheme. The novelty of the scheme is the integration of adaptive filtering and tele-traffic theory in a coupled manner in order to find an optimum solution for resource reservation in next generation wireless networks like WiMAX. To show the effectiveness of our proposed scheme and the efficacy of the different parameters for optimizing the overall resource reservation process, we have presented computer simulation results, which include traffic estimation and predictive resource reservation.