Day-to-Day Dynamic Optimal Tolls with Elastic Demand

Recently day-to-day dynamic congestion pricing schemes with fixed travel demand have been proposed to approach system optimum flows instead of user equilibrium ones. This paper will study the day-to-day dynamic pricing schemes with the elastic demand counterpart to force the traffic system to evolve from the status quo to a stationary state of maximizing the social net benefit, considering a general drivers' behavior adjustment process. The paper will introduce the notion of a strong dynamic optimal toll under which the dynamic social net benefit is monotonically increasing along the day-to-day dynamic flow trajectory until day-to-day dynamic flows become stationary. The dynamic pricing schemes are general in the sense that they are formulated based upon a family of day-to-day dynamics in the literature. The paper will further discuss their mathematical properties and propose a simple solution, namely the dynamic marginal pricing scheme. A numerical study on the well-known Braess and Sioux Falls test networks is conducted to test the performance of the dynamic pricing schemes.

Language

  • English

Media Info

  • Media Type: DVD
  • Features: Figures; References; Tables;
  • Pagination: 23p
  • Monograph Title: TRB 87th Annual Meeting Compendium of Papers DVD

Subject/Index Terms

Filing Info

  • Accession Number: 01099845
  • Record Type: Publication
  • Report/Paper Numbers: 08-0305
  • Files: TRIS, TRB
  • Created Date: May 22 2008 7:42AM