Approximating Dynamic Equilibrium Conditions with Macroscopic Fundamental Diagrams

Real-time coordinated traffic management strategies that benefit from parsimonious models with aggregated network dynamics, provide a new generation of smart hierarchical strategies to improve network capacity and performance. However, this raises the question of route choice behavior in case of heterogeneous urban networks, where different parts of the city are subject to different types of control. Traffic equilibrium phenomena have not been thoroughly investigated in these models. In addition, approximate traffic equilibrium conditions can be integrated within the parsimonious traffic models to develop regional routing strategies. In this study, the authors develop an aggregated and approximate DTA procedure to be incorporated in the macroscopic fundamental diagram (MFD) dynamics, and establish dynamic user equilibrium (DUE) conditions. The methodology consists of two main components; stochastic network loading and a fixed-point solution method. Loading procedure is designed to handle stochastic components in the model such as trip length uncertainty, variation of speeds across the links, perception error of travelers. The results taken from this procedure are averaged through the well-known method of successive averages (MSA) to reach fixed-point solution for the system. Real-time route guidance strategies can be revisited towards a "system of systems" approach."

• Supplemental Notes:
  • This paper was sponsored by TRB committee AHB45-1 Traffic Flow Theory and Characteristics Special Paper Review.
• Corporate Authors:

  Transportation Research Board

  500 Fifth Street, NW
  Washington, DC  United States  20001
• Authors:
  • Yildirimoglu, Mehmet
  • Geroliminis, Nikolas
• Conference:
  • Transportation Research Board 93rd Annual Meeting
  • Location: Washington DC
  • Date: 2014-1-12 to 2014-1-16
• Date: 2014

Language

• English

Media Info

• Media Type: Digital/other
• Features: Figures; References;
• Pagination: 18p
• Monograph Title: TRB 93rd Annual Meeting Compendium of Papers

Subject/Index Terms

• TRT Terms: Advanced traffic management systems; Dynamic traffic assignment; Methodology; Route choice; Traffic equilibrium; Traffic models
• Uncontrolled Terms: Fundamental diagram
• Subject Areas: Data and Information Technology; Highways; Operations and Traffic Management; I71: Traffic Theory; I72: Traffic and Transport Planning;

Filing Info

• Accession Number: 01520127
• Record Type: Publication
• Report/Paper Numbers: 14-0709
• Files: TRIS, TRB, ATRI
• Created Date: Mar 26 2014 10:13AM