Two-Direction Methods for Variable Demand Traffic Assignment

The estimation of equilibria within variable demand transport models is a central requirement for the assessment of transport proposals. Currently, given a transport model, the process of finding equilibria invariably now involves following a single search direction within the model repeatedly; aiming to reduce a measure of disequilibirium to approximately zero. This paper introduces two-direction methods for finding traffic equilibria; in these methods two directions are followed alternately instead of just one repeatedly. For each two-direction method described it is shown that, away from equilibrium and under natural standard conditions, one of the two directions certainly reduces a natural measure of disequilibrium. The paper also gives a counterexample showing that under these same natural conditions the search direction utilized is an algorithm called algorithm 1 is not guaranteed to reduce the degree of disequilibrium.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/isbn/9780080450926
• Supplemental Notes:
  • Abstract reprinted with permission from Elsevier.
• Corporate Authors:

  Elsevier

  Linacre House, Jordan Hill
  Oxford,   United Kingdom  OX2 8DP
• Authors:
  • Lv, Q
  • Salis, A
  • Smith, M J
  • Woods, A
  • Skrobanski, G
  • Springham, J
  • Gordon, A
• Conference:
  • 4th IMA International Conference on Mathematics in Transport
  • Location: London , United Kingdom
  • Date: 2005-9-7 to 2005-9-9
• Publication Date: 2007

Language

• English

Media Info

• Media Type: Print
• Edition: First
• Features: Appendices; Figures; References; Tables;
• Pagination: pp 71-95
• Monograph Title: Mathematics in Transport. Selected Proceedings of the 4th IMA International Conference on Mathematics in Transport

Subject/Index Terms

• TRT Terms: Algorithms; Dynamic traffic assignment; Mode choice; Multimodal transportation; Origin and destination; Route choice; Traffic assignment; Traffic equilibrium; Traffic flow; Travel demand
• Uncontrolled Terms: Two dimensional
• Subject Areas: Highways; Operations and Traffic Management; Planning and Forecasting; I72: Traffic and Transport Planning;

Filing Info

• Accession Number: 01081037
• Record Type: Publication
• ISBN: 9780080450926
• Files: TRIS
• Created Date: Nov 26 2007 9:54AM