Minimal Parameter Formulations Dynamic Traffic Assignment using the Macroscopic Fundamental Diagram: Freeway vs City Streets User Equilibrium revisited

This paper investigates the dynamic user equilibrium with two alternative routes, a freeway with a fixed capacity and the surrounding city-streets network, modeled with a macroscopic fundamental diagram (MFD). Apart from the traditional approach of constant network and trip lengths for the MFD, we propose a dynamic formulation of these quantities, which grow with the congestion level on the surface network to reflect that off-ramp capacities are finite and the length of the freeway exit section, dynamic.

[1]  Nikolaos Geroliminis,et al.  Properties of a well-defined Macroscopic Fundamental Diagram for urban traffic , 2011 .

[2]  Nikolaos Geroliminis,et al.  Perimeter and boundary flow control in multi-reservoir heterogeneous networks , 2013 .

[3]  Ludovic Leclercq,et al.  Macroscopic Fundamental Diagrams: A cross-comparison of estimation methods , 2014 .

[4]  Nikolaos Geroliminis,et al.  On the stability of traffic perimeter control in two-region urban cities , 2012 .

[5]  Nikolas Geroliminis,et al.  Approximating Dynamic Equilibrium Conditions with Macroscopic Fundamental Diagrams , 2014 .

[6]  Ludovic Leclercq,et al.  Macroscopic Traffic Dynamics with Heterogeneous Route Patterns , 2015 .

[7]  Nikolas Geroliminis,et al.  Equilibrium analysis and route guidance in large-scale networks with MFD dynamics , 2015 .

[8]  M. Fosgerau.  Congestion in the bathtub , 2015 .

[9]  Richard Arnott,et al.  A Bathtub Model of Downtown Traffic Congestion , 2013 .

[10]  Jorge A. Laval,et al.  Stochastic Approximations for the Macroscopic Fundamental Diagram of Urban Networks , 2015 .

[11]  Nikolaos Geroliminis,et al.  Estimating MFDs in Simple Networks with Route Choice. , 2013 .

[12]  Kentaro Wada,et al.  An Empirical Analysis of Macroscopic Fundamental Diagrams for Sendai Road Networks , 2015 .

[13]  Carlos F. Daganzo,et al.  Urban Gridlock: Macroscopic Modeling and Mitigation Approaches , 2007 .

[14]  Meead Saberi,et al.  Hysteresis and Capacity Drop Phenomena in Freeway Networks , 2013 .

[15]  P. I. Richards.  Shock Waves on the Highway , 1956 .

[16]  Bhargava Rama Chilukuri,et al.  Symmetries in the kinematic wave model and a parameter-free representation of traffic flow , 2016 .

[17]  Meead Saberi,et al.  Urban Network Gridlock: Theory, Characteristics, and Dynamics , 2013 .

[18]  Carlos F. Daganzo,et al.  Distance-dependent congestion pricing for downtown zones , 2015 .

[19]  Jorge A. Laval.  Graphical solution and continuum approximation for the single destination dynamic user equilibrium problem , 2009 .