A Class of Perturbed Cell-Transmission Models to Account for Traffic Variability

The authors introduce a general class of traffic models derived as perturbations of cell-transmission type models. These models use different dynamics in free-flow and in congestion phases. They can be viewed as extensions to cell transmission type models by considering the velocity to be a function not only of the density but also of a second state variable describing perturbations. The authors present the models in their discretized form under a new formulation similar to the classical supply demand formulation used by the seminal Cell-Transmission Model. We show their equivalence to hydrodynamic models. The authors detail the properties of these so-called perturbed cell-transmission models and illustrate their modeling abilities on benchmark cases. It is shown that they encompass several well-known phenomena not captured by classical models, such as forward moving disturbances. An implementation method is outlined to implement a perturbed cell transmission from a classical cell transition model.

• Corporate Authors:

  Transportation Research Board

  500 Fifth Street, NW
  Washington, DC  United States  20001
• Authors:
  • Blandin, Sebastien
  • Work, Daniel B
  • Goatin, Paola
  • Piccoli, Benedetto
  • Bayen, Alexandre M
  • 0000-0002-6697-222X
• Conference:
  • Transportation Research Board 89th Annual Meeting
  • Location: Washington DC, United States
  • Date: 2010-1-10 to 2010-1-14
• Date: 2010

Language

• English

Media Info

• Media Type: DVD
• Features: Figures; References;
• Pagination: 16p
• Monograph Title: TRB 89th Annual Meeting Compendium of Papers DVD

Subject/Index Terms

• TRT Terms: Congestion management systems; Perturbation theory; Systems analysis; Traffic congestion; Traffic flow; Traffic models
• Uncontrolled Terms: Cell transmission models; Free flow (Traffic)
• Subject Areas: Highways; Planning and Forecasting; I72: Traffic and Transport Planning;

Filing Info

• Accession Number: 01155473
• Record Type: Publication
• Report/Paper Numbers: 10-3622
• Files: TRIS, TRB
• Created Date: Apr 26 2010 7:14AM