Moving Bottlenecks: A Numerical Method that Converges in Flows

A 2003 paper by Daganzo and Laval proposed a way to treat moving bottlenecks numerically within the context of kinematic wave (KW) theory. However, in this method, the approximate flows, densities and speeds at a point do not converge to the exact ones, even as vehicle counts do. To overcome this disadvantage, this paper proposes a new numerical scheme to model KW traffic streams containing slow vehicles. In the current numerical scheme, slow vehicles are modeled discretely as moving boundaries that can affect the traffic stream. The proposed scheme converges in flows, densities and speeds without oscillations, and therefore can be readily used in situations where one wishes to model the effect of the traffic stream on the bottlenecks. The method appears to be quite accurate but introduces first order errors.

• Record URL:
  • http://www.sciencedirect.com/science/article/B6V99-4FKYDKH-2/1/1423fa60e6044c48d3136fcb955b33aa
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/01912615
• Authors:
  • Daganzo, Carlos F
  • Laval, Jorge
• Publication Date: 2005-11

Language

• English

Media Info

• Media Type: Print
• Features: Appendices; Figures; References;
• Pagination: pp 855-863
• Serial:
  • Transportation Research Part B: Methodological
  • Volume: 39
  • Issue Number: 9
  • Publisher: Elsevier
  • ISSN: 0191-2615
  • Serial URL: http://www.sciencedirect.com/science/journal/01912615

Subject/Index Terms

• TRT Terms: Bottlenecks; Kinematics; Slow moving vehicles; Traffic counts; Traffic density; Traffic flow; Traffic flow theory; Traffic speed
• Subject Areas: Highways; Operations and Traffic Management; I71: Traffic Theory;

Filing Info

• Accession Number: 01001439
• Record Type: Publication
• Files: TRIS, ATRI
• Created Date: Jun 30 2005 10:56AM