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The paper presents the performance analysis of a cellular system supporting two types of traffic with different reuse factors, using fixed channel allocation (FCA) and channel partitioning (CP), namely fixed channel partitioning (FCP). With CP, each cell is allocated two sets of channels and each set of channels supports different traffic, depending on the required reuse factor. The FCP system is modeled mathematically using queuing theory. A two-dimensional Markov chain model is developed to examine its performance. A scaling method is also proposed to deal with different call duration scenarios. As compared to the FCA system, we find that the FCP system can improve the system capacity depending on the traffic load fraction for each type of service. Analytical results are compared with the simulation results to verify our theoretical analysis.