Title: Design of Networks under Traffic Uncertainty Herve Kerivin Institute for Mathematics and its Applications University of Minnesota Minneapolis, MN 55455 USA E-mail : kerivin@ima.umn.edu Homepage : www.ima.umn.edu/~kerivin Abstract: We introduce a new traffic model which captures the imprecisions in terms of traffic by the specification of some relationships between the entries of a current traffic matrix. The significance of this model is its capability to reduce costs without any quality of service deterioration. We then study the network capacity allocation problem (i.e., seek the least costly link resource reservation) when the traffic is defined through this new model.