BALANCING THE WAITING TIMES IN A SIMPLE TRAFFIC INTERSECTION MODEL

We propose a novel dynamical model of a simple traffic intersection, where the state variables represent the queue lengths and the mean waiting times in the queues. Including the mean waiting times in the model allows for a more fair traffic control, where the waiting times of the individual vehicles in the various streets of the intersection are taken into account to some degree. The model is linearized and its parameters are estimated using real traffic data measured during one day in Prague. For the balancing of the waiting times, two different controllers are considered: a linear quadratic regulator and a nonlinear model predictive controller. The controllers are evaluated in simulations where real traffic data is used for the incoming flows.