The Distribution of Congestion on a Class of Stochastic Kinematic Wave Models

This paper shows that a wide range of stochastic extensions of the kinematic wave model tend to the same parameter-free expression for the probability of congestion at a given time-space point. This is shown for white noise initial density with deterministic and stochastic fundamental diagram in the case of Riemann problems and the bottleneck problem. It is also found that the stochastic solution (i) preserves the structure of the deterministic solution and (ii) tends to the deterministic solution with time at a given location.

• Record URL:
  https://doi.org/10.1287/trsc.2013.0462
• Record URL:
  http://pubsonline.informs.org/doi/abs/10.1287/trsc.2013.0462
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/oclc/1767714
• Supplemental Notes:
  • Abstracts reprinted with permission of INFORMS (Institute for Operations Research and the Management Sciences, http://www.informs.org).
• Authors:
  • Laval, Jorge A
  • Chilukuri, Bhargava R
• Publication Date: 2014-5

Language

• English

Media Info

• Media Type: Web
• Features: Figures; References;
• Pagination: pp 217-224
• Serial:
  • Transportation Science
  • Volume: 48
  • Issue Number: 2
  • Publisher: Institute for Operations Research and the Management Sciences (INFORMS)
  • ISSN: 0041-1655
  • Serial URL: http://transci.journal.informs.org/

Subject/Index Terms

• TRT Terms: Computer models; Kinematics; Stochastic processes; Traffic congestion; Waves
• Subject Areas: Highways; Planning and Forecasting; I71: Traffic Theory;

Filing Info

• Accession Number: 01526630
• Record Type: Publication
• Files: TRIS
• Created Date: May 29 2014 10:15AM