Polynomial approach and non-linear analysis for a traffic fundamental diagram

Vehicular traffic can be modelled as a dynamic discrete form. As in many dynamic systems, the parameters modelling traffic can produce a number of different trajectories or orbits, and it is possible to depict different flow situations, including chaotic ones. In this paper, an approach to the wellknown density-flow fundamental diagram is suggested, using an analytical polynomial technique, in which coefficients are taken from significant values acting as the parameters of the traffic model. Depending on the values of these parameters, it can be seen how the traffic flow changes from stable endpoints to chaotic trajectories, with proper analysis in their stability features. © 2016, Faculty of Transport and Traffic Engineering. All rights reserved.

• Record URL:
  https://doi.org/10.7307/ptt.v28i4.1965
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/03535320
• Supplemental Notes:
  • © 2016 Oscar A Rosas-Jaimes et al.
• Authors:
  • Rosas-Jaimes, Oscar A
  • Quezada-Téllez, Luis Alberto
  • Anaya, Guillermo Fernández
• Publication Date: 2016

Language

• English

Media Info

• Media Type: Web
• Features: Figures; References; Tables;
• Pagination: pp 321-329
• Serial:
  • PROMET-Traffic & Transportation
  • Volume: 28
  • Issue Number: 4
  • Publisher: University of Zagreb
  • ISSN: 0353-5320
  • EISSN: 1848-4069
  • Serial URL: https://traffic2.fpz.hr/index.php/PROMTT
• Publication flags:

  Open Access (libre)

Subject/Index Terms

• TRT Terms: Approximation (Mathematics); Diagrams; Nonlinear programming; Traffic density; Traffic flow
• Uncontrolled Terms: Macroscopic fundamental diagrams
• Subject Areas: Highways; Planning and Forecasting;

Filing Info

• Accession Number: 01613658
• Record Type: Publication
• Files: TRIS
• Created Date: Oct 21 2016 4:32PM