An optimization approach for congestion control in network routing with quality of service requirements

In this paper we study a network design problem arising in the management of a carrier network. The aim is to route a traffic matrix, minimizing a measure of the network congestion while guaranteeing a prescribed quality of service. We formu- late the problem, devise presolve procedures to reduce the size of the corresponding mixed-integer programming formulation and show that the proposed approach can efficiently solve some real-life problems, leading to an improvement with respect to the current practice in a real case study.