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The authors present a performance analysis of orthogonal frequency division multiple access (OFDMA) based cellular systems with dynamic packet assignment (DPA). Most approaches in the current literature for analysing wireless data networks do not take into account the interference conditions on the radio channel. An analytical model based on a two-dimensional continuous-time Markov chain (CTMC), that takes into account the interference conditions on the OFDM subcarriers in addition to the traffic conditions, is proposed. The authors derive expressions for the mean delay and the average system throughput on the uplink and the downlink in OFDMA based cellular systems with data traffic.