Optimal distance tolls under congestion pricing and continuously distributed value of time

Authors

Qiang Meng, National University of Singapore
Zhiyuan Liu, National University of Singapore
Shuaian Wang, National University of SingaporeFollow

RIS ID

73576

Publication Details

Meng, Q., Liu, Z. & Wang, S. (2012). Optimal distance tolls under congestion pricing and continuously distributed value of time. Transportation Research Part E, 48 (5), 937-957.

Abstract

This paper addresses the optimal distance-based toll design problem for cordon-based congestion pricing schemes. The optimal distance tolls are determined by a positive and nondecreasing toll-charge function with respect to the travel distance. Each feasible toll-charge function is evaluated by a probit-based SUE (Stochastic User Equilibrium) problem with elastic demand, asymmetric link travel time functions, and continuously distributed VOT, solved by a convergent Cost Averaging (CA) method. The toll design problem is formulated as a mixed-integer mathematical programming with equilibrium constraints (MPEC) model, which is solved by a Hybrid GA (Genetic Algorithm)-CA method. Finally, the proposed models and algorithms are assessed by two numerical examples.