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In this paper, we developed an analytical model of a time-threshold based bandwidth allocation scheme for data calls in cellular networks. The scheme is based on monitoring the elapsed real time of handoff calls and according to a time threshold parameter, handoff calls are either prioritized or treated as new calls. The scheme is modeled using a onedimensional markov chain and numerical analysis is presented to estimate blocking probabilities of new calls, dropping probabilities of handoff calls and system utilization. The scheme is simulated under different network conditions. It is observed that analytical results closely match the simulation results. The results show that the proposed scheme yields a considerable enhancement in terms of performance/cost ratio when compared with the conventional schemes.