On Path Marginal Cost Analysis and its Relation to Dynamic System-Optimal Traffic Assignment

This paper studies the problem of evaluating path marginal cost in system-optimal dynamic traffic assignment (SO-DTA) models. Through a series of examples, the paper demonstrates that path marginal costs are not simple additions of the corresponding link marginal costs unless the flow perturbation travels with the vehicle unit that initiated the perturbation. The paper further shows that one can compute efficiently path marginal costs for networks with a special structure (i.e. mono-centric), and proposed an evaluation method that decomposes path marginal costs to link marginal costs for such networks. Preliminary numerical experiments indicate that this solution scheme can generate numerical solutions close to analytical solutions where they are knows. At present, the method applies to networks without diverges and the embedded traffic flow models are restricted to those not considering queue spillback. The relaxation of either aspect brings in additional challenges in predicting path flow perturbation propagation, hence additional difficulties in the evaluation of path marginal costs, and is worthy of further research.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/isbn/9780080453750
• Supplemental Notes:
  • Abstract reprinted with permission from Elsevier.
• Corporate Authors:

  Elsevier

  Linacre House, Jordan Hill
  Oxford,   United Kingdom  OX2 8DP
• Authors:
  • Shen, Wei
  • Nie, Yu
  • Zhang, H Michael
• Conference:
  • Transportation and Traffic Theory 2007. Papers Selected for Presentation at ISTTT17
  • Location: London , England
  • Date: 2007-7-23 to 2007-7-25
• Publication Date: 2007

Language

• English

Media Info

• Media Type: Print
• Features: Figures; Tables;
• Pagination: pp 327-360
• Monograph Title: Transportation and Traffic Theory 2007

Subject/Index Terms

• TRT Terms: Dynamic traffic assignment; Links (Networks); Marginal costs; Perturbations; Traffic assignment; Traffic congestion; Traffic control; Traffic flow
• Uncontrolled Terms: System optimal models
• Subject Areas: Highways; Operations and Traffic Management; Planning and Forecasting; I72: Traffic and Transport Planning; I73: Traffic Control;

Filing Info

• Accession Number: 01076740
• Record Type: Publication
• ISBN: 9780080453750
• Files: TRIS
• Created Date: Sep 6 2007 10:34AM