Validation of Macroscopic Fundamental Diagrams-Based Models with Microscopic Simulations on Real Networks: Importance of Production Hysteresis and Trip Lengths Estimation

This work focuses on the application of accumulation-based and trip-based macroscopic fundamental diagrams (MFD) approaches to real transportation networks and discusses the calibration of the MFD shape and trip lengths estimation using a thorough validation of the network dynamics with microsimulation data. This work not only investigates a classical unimodal approach to fit the production MFD, but also a bimodal MFD curve. Different methods of calibrating trip lengths in the reservoir are introduced to study the influence of trip lengths estimation on the accuracy of MFD models. MFD models are validated against microsimulations that are carried out using real origin–destination (OD) matrix and demand estimated from the data of Lyon city in France. The proposed bimodal production MFD curve captures the hysteresis in the production MFD to a good extent. Subsequently, it is shown that the refined description of trip lengths gives more accurate estimates of accumulation evolution for the trip-based approach. Finally, a case is presented with a modified OD matrix to study the effect of OD matrix changes on accuracy of MFD simulations.

[1]  Nikolas Geroliminis,et al.  The Morning Commute in Urban Areas: Insights from Theory and Simulation , 2016 .

[2]  Nikolas Geroliminis,et al.  The morning commute in urban areas with heterogeneous trip lengths , 2018, Transportation Research Part B: Methodological.

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

[4]  Jorge A. Laval,et al.  Macroscopic urban dynamics: Analytical and numerical comparisons of existing models , 2017 .

[5]  Nikolaos Geroliminis,et al.  Hysteresis Phenomena of a Macroscopic Fundamental Diagram in Freeway Networks , 2011 .

[6]  Gordon F. Newell,et al.  A simplified car-following theory: a lower order model , 2002 .

[7]  Ludovic Leclercq,et al.  MFD-based simulation: Spillbacks in multi-reservoir networks , 2018 .

[8]  Nikolaos Geroliminis,et al.  Enhancing model-based feedback perimeter control with data-driven online adaptive optimization , 2017 .

[9]  Markos Papageorgiou,et al.  Exploiting the fundamental diagram of urban networks for feedback-based gating , 2012 .

[10]  Serge P. Hoogendoorn,et al.  Network transmission model: A dynamic traffic model at network level (poster) , 2014 .

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

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

[13]  Jack Haddad,et al.  Coordinated distributed adaptive perimeter control for large-scale urban road networks , 2017 .

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

[15]  Ludovic Leclercq,et al.  Dynamic macroscopic simulation of on-street parking search: A trip-based approach , 2017 .

[16]  Deepak K. Merchant,et al.  A Model and an Algorithm for the Dynamic Traffic Assignment Problems , 1978 .

[17]  Christine Buisson,et al.  Exploring the Impact of Homogeneity of Traffic Measurements on the Existence of Macroscopic Fundamental Diagrams , 2009 .

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

[19]  Nikolas Geroliminis,et al.  Dynamics of heterogeneity in urban networks: aggregated traffic modeling and hierarchical control , 2015 .

[20]  Ludovic Leclercq,et al.  The Lagrangian Coordinates and What it Means for First Order Traffic Flow Models , 2007 .

[21]  Vikash V. Gayah,et al.  Clockwise Hysteresis Loops in the Macroscopic Fundamental Diagram , 2010 .

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

[23]  Jin Cao,et al.  System dynamics of urban traffic based on its parking-related-states , 2015 .

[24]  N. Geroliminis Dynamics of Peak Hour and Effect of Parking for Congested Cities , 2009 .

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

[26]  Terry L. Friesz,et al.  Dynamic Network Traffic Assignment Considered as a Continuous Time Optimal Control Problem , 1989, Oper. Res..

[27]  N. Geroliminis,et al.  An analytical approximation for the macropscopic fundamental diagram of urban traffic , 2008 .

[28]  Nikolas Geroliminis,et al.  Macroscopic modelling and robust control of bi-modal multi-region urban road networks , 2017 .

[29]  Robert B. Dial,et al.  A PROBABILISTIC MULTIPATH TRAFFIC ASSIGNMENT MODEL WHICH OBVIATES PATH ENUMERATION. IN: THE AUTOMOBILE , 1971 .

[30]  N. Geroliminis,et al.  Existence of urban-scale macroscopic fundamental diagrams: Some experimental findings - eScholarship , 2007 .