A Splitting Rate Model of Traffic Re-routeing and Traffic Control

The paper presents an idealised dynamical model of day-to-day or within-day re-routeing using splitting rates at nodes, or node-exit flows, rather than route-flows. It is shown that under certain conditions repeated application of the dynamical model gives rise to a sequence of link flow vectors which converges to a set of approximate Wardrop equilibria. A special dynamical signal green-time re-allocation model is added; the combination is shown (in outline) to converge to the set of approximate consistent equilibria under certain conditions. Finally the paper uses model network results to illustrate a method of designing fixed time signal timings to meet different scenarios. The paper sets the scene by giving a simple motivating model, involving both routeing changes and green-time changes following the equisaturation policy, in which unpredictable discontinuous behaviour, including a pitchfork bifurcation, occurs as a result of the interaction between re-routeing and responsive control.

• Record URL:
  http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B9853-52X1TRD-1B-1&_cdi=59087&_user=10&_pii=S1877042811010792&_origin=browse&_zone=rslt_list_item&_coverDate=12%2F31%2F2011&_sk=999829999&wchp=dGLzVlb-zSkWW&md5=423acdf304069d5777ae79a1ebd6c938&ie=/sdarticle.pdf
• 
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/18770428
• Supplemental Notes:
  • Abstract reprinted with permission from Elsevier.
• Authors:
  • Smith, Mike
  • Mounce, Richard
• Conference:
  • 19th International Symposium on Transportation and Traffic Theory
  • Location: Berkeley CA, United States
  • Date: 2011-7-18 to 2011-7-20
• Publication Date: 2011

Language

• English

Media Info

• Media Type: Web
• Features: Appendices; Figures; References;
• Pagination: pp 316-340
• Monograph Title: International Symposium on Transportation and Traffic Theory, 19th
• Serial:
  • Procedia - Social and Behavioral Sciences
  • Volume: 17
  • Publisher: Elsevier
  • ISSN: 1877-0428
  • Serial URL: http://www.sciencedirect.com/science/journal/18770428/53
• Publication flags:

  Open Access (libre)

Subject/Index Terms

• TRT Terms: Green interval (Traffic signal cycle); Highway traffic control; Pretimed traffic signal controllers; Traffic flow; Traffic models; Traffic signal timing
• Uncontrolled Terms: Link flow; Rerouting; Traffic splitting; User equilibrium; Wardrop model
• Subject Areas: Highways; Operations and Traffic Management; Planning and Forecasting; I72: Traffic and Transport Planning;

Filing Info

• Accession Number: 01345399
• Record Type: Publication
• Files: TRIS, ATRI
• Created Date: Jul 21 2011 10:08AM