ON THE INTEGRATION OF CAR-FOLLOWING EQUATIONS

A common principle of obtaining speed-flow-density relationships and thus capacities is by integrating car-following equations. However, the method of integration which is usually found in traffic-theory literature, is incorrect from a mathematical point of view. The error is due to ignoring the statistical distribution of the spacings between consecutive vehicles. In the paper it is shown how this distribution can be incorporated into the integration procedure. The results obtained are analysed and interpreted.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/isbn/0080434304
• Supplemental Notes:
  • This book is also available in the USA and Canada from Elsevier Science Inc., P.O. Box 945, Madison Square Station, New York, NY 10160-0757.
• Corporate Authors:

  Elsevier

  The Boulevard, Langford Lane
  Kidlington, Oxford  United Kingdom  OX5 1GB
• Authors:
  • Heidemann, D
• Conference:
  • Third IMA International Conference on Mathematics in Transport Planning and Control
  • Location: Cardiff, United Kingdom
  • Date: 1998-4-1 to 1998-4-3
• Publication Date: 1998

Language

• English

Media Info

• Features: Figures; References;
• Pagination: p. 331-339

Subject/Index Terms

• TRT Terms: Car following; Distributions (Statistics); Equations; Highway capacity; Vehicle spacing
• Uncontrolled Terms: Integration (Equations)
• Subject Areas: Highways; Operations and Traffic Management;

Filing Info

• Accession Number: 00763037
• Record Type: Publication
• ISBN: 0080434304
• Files: TRIS
• Created Date: Apr 13 1999 12:00AM