Estimating the Critical Density of Road Transportation Networks using Infinitesimal Perturbation Analysis of Hybrid Systems

In this paper, we adobe the Stochastic Fluid Modeling framework to model the critical density of a road network and we employ the route-reservation scheme (as proposed in [1], [2]) to control traffic for a congestion-free operation. To derive the network's critical density value, we employ Infinitesimal Perturbation Analysis (IPA) that provides a stochastic approximation which can be utilized in an on-line fashion to capture the dynamic changes in the critical density value as a consequence of different incidents.