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."© 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. C. Menelaou, S. Timotheou, P. Kolios and C. G. Panayiotou, "Estimating the Critical Density of Road Transportation Networks using Infinitesimal Perturbation Analysis of Hybrid Systems," 2018 IEEE Conference on Decision and Control (CDC), Miami Beach, FL, 2018, pp. 1809-1814. doi: 10.1109/CDC.2018.8619707 This work is partially funded by the Republic of Cyprus through the Research Promotion Foundation (Project:CULTURE/BRNE/0517/14