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This paper presents analytical models to dimension the transport bandwidths for the S1 interface in the Long Term Evolution (LTE) Network. In this paper, we consider two major traffic types: elastic traffic and real time traffic. For each type of traffic, individual dimensioning models are proposed. For validating these analytical dimensioning models, a developed LTE system simulation model is used. The simulation results demonstrate that the proposed models can properly estimate the required performances and thus be able to be used for link dimensioning for various traffic and network scenarios.