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In this paper, mathematical analyses for three architectures of soft switch network adopted from Xu peng et al. are presented. The proposed models are based on the Jackson network theory. They are derived to provide closed form solution for predicting the capacity of the soft switch network. In addition, simulation results obtained from the proposed mathematical models are compared with numerical results of Xu Peng et al. It is found that they are well correspondent each other. The proposed mathematical analyses thus more efficient methods to predict capacity of soft switch network. (ICCCASpsila08).