Traffic flow theory and chaotic behavior

Details

• Creators:
  Disbro, J. E. ; Frame, M.
• Corporate Contributors:
  New York (State). Engineering Research and Development Bureau ; Union College (Schenectady, N.Y.) ; United States. Federal Highway Administration. New York Division
• Subject/TRT Terms:
  • Traffic flow theory
  • Traffic flow rate
  • Traffic models
  • Traffic simulation
  • Equations
  • Highway transportation
  • Mathematical models
  • Predictions
  • Traffic engineering
  • Traffic models
• Publication/ Report Number:
  Special report 91
• Resource Type:
  Research Paper
• Geographical Coverage:
  United States
• Corporate Publisher:
  New York (State). Dept. of Transportation
• Abstract:
  Many commonly occurring natural systems are modeled with mathematical experessions and exhibit a certain stability. The inherent stability of these equations allows them to serve as the basis for engineering predictions. More complex models, such as those for modeling traffic flow, lac stability and thus require considerable care when used as a basis for prediction. In 1960, Gazis, Herman, and Rothery introduced their generalized car-follow (or GHR) equation for modeling traffic flow. Experience has shown that this equation may not be continuous for the entire range of input parameters. This paper describes chaotic behavior and briefly discussed the methodology of the algorithm used to detect its presence in the GHR equation. It also discussed two systems modeled with GHR equation and their associated chaotic properties.
• Format:
  PDF
• Download URL:
  https://rosap.ntl.bts.gov/view/dot/15604/dot_15604_DS1.pdf
• File Type:
  [PDF - 743.27 KB]
• Collection(s):
  US Transportation Collection
• Main Document Checksum:
  urn:sha-512:6a43070cdfe0cf6cef382d4703c29765826983af7c42e19be25c8526a50ca1044410f111c71258613b362efb29d5fef3e0424179d6f33c2c7e6c061aec2dab5f