On the Existence of Pricing Strategies in the Discrete Time Heterogeneous Single Bottleneck Model

In this paper, the authors study the pricing strategies in the discrete time single bottleneck model with general heterogeneous commuters. The authors first prove that in the system optimal assignment, the queue time must be zero for all the departures. Based on this result, the system optimal problem is formulated as a linear program. The solution existence and uniqueness are discussed. Applying linear programming duality, the authors then prove that the optimal dual variable values provide an optimal toll with which the system optimal solution is also an equilibrium solution. Extensive computational results are reported to demonstrate the insights gained from the formulations presented in this paper. These results confirm that a system optimal equilibrium can be found using the proposed approach.

• Record URL:
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• 
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/18770428
• Supplemental Notes:
  • Abstract reprinted with permission from Elsevier.
• Authors:
  • Doan, Kien
  • Ukkusuri, Satish
  • Han, Lanshan
• 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: Figures; References; Tables;
• Pagination: pp 269-291
• 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: Bottlenecks; Commuters; Congestion pricing; Discrete systems; Road pricing; Toll roads; Tolls; Traffic congestion; Traffic flow
• Uncontrolled Terms: System optimal models; User equilibrium
• Subject Areas: Highways; Operations and Traffic Management; Planning and Forecasting; I72: Traffic and Transport Planning;

Filing Info

• Accession Number: 01345402
• Record Type: Publication
• Files: TRIS
• Created Date: Jul 21 2011 10:08AM