Convergence to Equilibrium in Dynamic Traffic Networks when Route Cost is Decay Monotone

Convergence to equilibrium in dynamic traffic assignment, as presented in the bottleneck model, is the focus of this paper. The model uses deterministic vertical queueing at bottleneck link exits to address situations where flow exceeds capacity. A new property introduced to the model is decay monothinicity, which is designed to reveal the link delay (i.e., link cost) function. The model identifies the link delay function as a decay monotone function of link flow, provided that link capacity (i.e., saturation flow) appears as a continuously differentiable positive function of time. A single bottleneck per route case shows that where link cost delay monothinicity is present, there is the implication that route cost delay monothinicity is also present, despite restrictive conditions. For the route cost function, the models shows that decay monothinicity is enough to provide for convergence to equilibrium.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/oclc/1767714
• Authors:
  • Mounce, Richard
• Publication Date: 2007-8

Language

• English

Media Info

• Media Type: Print
• Features: References;
• Pagination: pp 409-414
• Serial:
  • Transportation Science
  • Volume: 41
  • Issue Number: 3
  • 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: Bottlenecks; Costs; Dynamic traffic assignment; Mathematical models; Queuing; Routes; Saturation flow; Traffic equilibrium
• Uncontrolled Terms: Link flow; Monotonicity; Traffic convergence; Traffic network
• Subject Areas: Finance; Highways; Operations and Traffic Management; I71: Traffic Theory;

Filing Info

• Accession Number: 01080049
• Record Type: Publication
• Files: TRIS, ATRI
• Created Date: Oct 25 2007 10:27AM