—In this paper we study the capacity of the OFDMA-based IEEE802.16 WiMAX network in the presence of two types of traffic: Real-Time and Non-Real-Time, including Adaptive Modulation and Coding (AMC) with user intra cell mobility. Our work deals with the performance of the connexion admission and ressource allocation algorithm over a general ranging arrival process: it has been recently proved that the exponential distribution is inappropriate [8]. Based on the generalized traffic processes, we develop a resource allocation that maintains the bit rate of real time connections independently of the user position in the cell. Moreover, we enhance the CAC algorithm with a mecanism designed for the mobility management. Using a novel Discrete Time Markovian analysis we evaluate the impact of our resource allocation for mobility behavior on the RT and NRT connections as the blocking and dropping probabilities, mean sojourn time and throughput.