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In this paper, we propose a dimensioning model that takes account of the new technologies that can provide QoS (i.e., DiffServ/MPLS) and allows for multiple delay constraints so that guaranteed performance can be achieved for each of the traffic classes. The proposed model incorporates procedures that allow correlations and burstiness of IP traffic to be effectively modelled. The accuracy of the model has been investigated by means of a simulation study over a range of test cases. The results demonstrate the capability of the model in guaranteeing the end-to-end delay requirements for the traffic classes.