Determining Appropriate Parameter Values for a Nonlinear Car-Following Model

Car-following models are the mathematical models that are used to describe the dynamical behavior of groups of closely-spaced road vehicles that are restricted to traveling in a single lane without overtaking. In previous papers the authors have introduced a modified car-following model that includes an additional nonlinear term that describes each driver’s attempt to maintain a desired separation from the vehicle ahead, in addition to the traditional attempt to match the velocity of the vehicle ahead. This modified model predicts the possibility of chaotic motion for certain parameter values. In order to determine the parameter values appropriate for real traffic the authors have used a helicopter to carry out aerial video filming of traffic. This paper shows how the authors are analyzing this data and using it to suggest the most appropriate parameter values for the modified car-following equation.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/isbn/9780080450926
• Supplemental Notes:
  • Abstract reprinted with permission from Elsevier.
• Corporate Authors:

  Elsevier

  Linacre House, Jordan Hill
  Oxford,   United Kingdom  OX2 8DP
• Authors:
  • Low, David J
• Conference:
  • 4th IMA International Conference on Mathematics in Transport
  • Location: London , United Kingdom
  • Date: 2005-9-7 to 2005-9-9
• Publication Date: 2007

Language

• English

Media Info

• Media Type: Print
• Edition: First
• Features: Figures; Photos; References;
• Pagination: pp 125-138
• Monograph Title: Mathematics in Transport. Selected Proceedings of the 4th IMA International Conference on Mathematics in Transport

Subject/Index Terms

• TRT Terms: Car following; Mathematical analysis; Nonlinear programming; Programming (Mathematics); Traffic flow; Traffic flow theory; Traffic platooning; Traffic speed; Travel behavior
• Uncontrolled Terms: Lead vehicle
• Subject Areas: Highways; Operations and Traffic Management; Planning and Forecasting; I72: Traffic and Transport Planning;

Filing Info

• Accession Number: 01080970
• Record Type: Publication
• ISBN: 9780080450926
• Files: TRIS
• Created Date: Nov 26 2007 9:54AM