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Call Admission Control (CAC) is one of the resource management functions, which regulates network access to ensure QoS provisioning. However, the decision for CAC is very challenging issue due to user mobility, limited radio spectrum, and multimedia traffic characteristics. In our previous work, we implemented a fuzzy based CAC system called FACS-MP, which consider many priorities. In this paper, we evaluate by simulations the performance of priority algorithm which is part of FACS-MP system. From the simulations results, we conclude that the FACS-MP make a good differentiation of different services based on different priorities.