Optimal joint distance and time toll for cordon-based congestion pricing

Zhiyuan Liu, Shuaian Wang and Qiang Meng

Transportation Research Part B: Methodological, 2014, vol. 69, issue C, 81-97

Abstract: This paper addresses the optimal toll design problem for the cordon-based congestion pricing scheme, where both a time-toll and a nonlinear distance-toll (i.e., joint distance and time toll) are levied for each network user’s trip in a pricing cordon. The users’ route choice behaviour is assumed to follow the Logit-based stochastic user equilibrium (SUE). We first propose a link-based convex programming model for the Logit-based SUE problem with a joint distance and time toll pattern. A mathematical program with equilibrium constraints (MPEC) is developed to formulate the optimal joint distance and time toll design problem. The developed MPEC model is equivalently transformed into a semi-infinite programming (SIP) model. A global optimization method named Incremental Constraint Method (ICM) is designed for solving the SIP model. Finally, two numerical examples are used to assess the proposed methodology.

Keywords: Nonlinear distance pricing; Cordon-based pricing; Stochastic system optimum; Mathematical program with equilibrium constraints; Tangent plane approximation method (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (23)

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DOI: 10.1016/j.trb.2014.08.005

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