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Given the emergence of IP networks and the Internet as the multi-service network of choice, it is plausible consider its use for transporting demanding multimedia traffic with high bandwidth and low delay and packet loss requirements. Emerging technologies for quality of service such as differentiated services and MPLS can be used for premium quality traffic. We present a traffic engineering and control system that starts from services agreed with customers and provisions the network according to the expected traffic demand so as to meet the requirements of contracted services while optimizing the use of network resources. We devise a non-linear programming formulation of the problem and show through simulations that we can achieve the objectives and meet the requirements of demanding customer traffic.