Solving the real-time Railway Traffic Management Problem with Benders decomposition

In railway, when a disruption occurs, the traffic may be perturbed, as a result, conflicts and delays may emerge. Modifying trains route and schedule to limit delay propagation in the network is the focus of the real-time Railway Traffic Management Problem (rtRTMP). In this work, we addressed the solution of the rtRTMP using a Benders decomposition approach. The decomposition algorithm is applyed to the mixed integer linear programming formulation of the problem. We test the algorithm to instances representing traffic in the junction of Gonesse, in France. The results are promising.