Investigation of LWR Model with Flux Function Driven by Random Free Flow Speed

Randomness is prevalent in real life. In particular, it accounts for the appearance of some especially interesting phenomena in transportation systems, such as spontaneous congestion. For this reason, the authors postulate the LWR model with stochastic setting, essentially through defining a random flux function driven by random free flow speed. Its connection to the classical LWR model is briefly discussed and properties essential for developing a flux-splitting scheme are given. A third order ENO-FD (essentially non-oscillatory finite difference) algorithm is devised and implemented to solve the postulated model numerically. The authors give one example based on the given model, illustrating the evaluation of predictability of traffic flow disturbance propagation in uncertain circumstance.

• Corporate Authors:

  Transportation Research Board

  500 Fifth Street, NW
  Washington, DC  United States  20001
• Authors:
  • Li, Jia
  • Chen, Quan-Yong
  • Wang, Haizhong
  • Ni, Daiheng
• Conference:
  • Symposium on the Fundamental Diagram: 75 Years (Greenshields 75 Symposium)
  • Location: Woods Hole Massachusetts, United States
  • Date: 2008-7-8 to 2008-7-10
• Publication Date: 2008

Language

• English

Media Info

• Media Type: CD-ROM
• Features: Figures; References; Tables;
• Pagination: 10p
• Monograph Title: Symposium on the Fundamental Diagram: 75 Years (Greenshields 75 Symposium), July 8-10, 2008, Woods Hole, MA. Preprints

Subject/Index Terms

• TRT Terms: Algorithms; Free flow speeds; Random functions; Stochastic processes; Traffic congestion; Traffic models
• Uncontrolled Terms: LWR model (Traffic flow); Traffic flow disturbance propagation
• Subject Areas: Data and Information Technology; Highways; Operations and Traffic Management; I71: Traffic Theory;

Filing Info

• Accession Number: 01109351
• Record Type: Publication
• Files: TRIS, TRB
• Created Date: Aug 25 2008 8:11AM