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

Qiang Meng; Zhiyuan Liu; Shuaian Wang

doi:10.1016/j.tre.2012.04.004

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

Qiang Meng
, Zhiyuan Liu
, Shuaian Wang

Research output: Journal article publication › Journal article › Academic research › peer-review

112 Citations (Scopus)

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 non-decreasing 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.

Original language	English
Pages (from-to)	937-957
Number of pages	21
Journal	Transportation Research Part E: Logistics and Transportation Review
Volume	48
Issue number	5
DOIs	https://doi.org/10.1016/j.tre.2012.04.004
Publication status	Published - 1 Jan 2012
Externally published	Yes

Keywords

Continuously distributed value-of-time
Cordon-based congestion pricing
Distance-based toll
Genetic algorithm
Mathematical programming with equilibrium constraints
Stochastic user equilibrium

ASJC Scopus subject areas

Business and International Management
Civil and Structural Engineering
Transportation

More information

10.1016/j.tre.2012.04.004

Cite this

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title = "Optimal distance tolls under congestion pricing and continuously distributed value of time",

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 non-decreasing 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.",

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AU - Liu, Zhiyuan

AU - Wang, Shuaian

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N2 - 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 non-decreasing 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.

AB - 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 non-decreasing 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.

KW - Continuously distributed value-of-time

KW - Cordon-based congestion pricing

KW - Distance-based toll

KW - Genetic algorithm

KW - Mathematical programming with equilibrium constraints

KW - Stochastic user equilibrium

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DO - 10.1016/j.tre.2012.04.004

M3 - Journal article

SN - 1366-5545

VL - 48

SP - 937

EP - 957

JO - Transportation Research Part E: Logistics and Transportation Review

JF - Transportation Research Part E: Logistics and Transportation Review

IS - 5

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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