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This paper provides an analytical model for the performance evaluation of a two class DiffServ link. It is applicable for the performance analysis of data traffic in the presence of higher priority Constant Bit Rate (CBR) encoded Voice and Video traffic. The DiffServ link is modeled as a single server queue in a Markovian environment. The queueing performance of data packets is evaluated by matrix geometric methods. The data generation process is assumed to follow a two state Markov modulated Poisson process (MMPP), and the service rate fluctuates based on the number of concurrent CBR sessions.