Nonlinear Road Pricing for Congestion and the Environment

Details

• Alternative Title:
  Final report to the Center for Multimodal Solutions for Congestion Mitigation (CMS)
• Creators:
  Lawphongpanich, Siriphong ; Yin, Yafen
• Corporate Creators:
  University of Florida. Dept. of Industrial & Systems Engineering ; University of Florida. Dept. of Civil and Coastal Engineering
• Corporate Contributors:
  University Transportation Centers Program (U.S.)
• Subject/TRT Terms:
  • Nonlinear equations
  • Pricing
  • Road pricing
  • Congestion pricing
  • Environment
  • Nonlinear equations
  • Pricing
  • Road pricing
  • Congestion pricing
  • Environment
  More +
• Publication/ Report Number:
  2010-16
• Resource Type:
  Tech Report
• Geographical Coverage:
  Florida ; United States
• Edition:
  Final report.
• Corporate Publisher:
  University of Florida. Center for Multimodal Solutions for Congestion Mitigation
• NTL Classification:
  NTL-ECONOMICS AND FINANCE-ECONOMICS AND FINANCE ; NTL-ENERGY AND ENVIRONMENT-ENERGY AND ENVIRONMENT ; NTL-OPERATIONS AND TRAFFIC CONTROLS-Congestion
• Abstract:
  Under nonlinear road pricing (or tolling), the price charged is not strictly proportional to the distance travelled inside a tolling area, the generalized travel cost is not link-wise additive, and finding a user equilibrium distribution is typically formulated as a complementarity problem. The latter is a difficult problem to solve in mathematical programming. In this report, we use piecewise linear functions to determine tolls and show that finding a user equilibrium distribution with such functions can be formulated as a convex optimization problem that is based on path flows and solvable by traditional algorithms such as simplicial decomposition. For area-based and two-part pricing schemes, the tolling function consists of only one linear piece and finding a user equilibrium distribution reduces to a convex optimization problem formulated in terms of link flows and solvable by any software for linearly constrained convex programs.
• Format:
  PDF
• Download URL:
  https://rosap.ntl.bts.gov/view/dot/24722/dot_24722_DS1.pdf
• File Type:
  [PDF - 808.97 KB]
• Collection(s):
  University Transportation Centers ; US Transportation Collection
• Main Document Checksum:
  urn:sha256:0366211a0d60ac0f322ae914c3ce3ccda324a66c40eb21fa79314119caaef12a