Highlights ► The nonlinear distance-based toll design problem is proposed. ► The continuously distributed value of time is assumed. ► A MPEC model is built. ► A GA-based efficient heuristic method is developed.
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.
Optimal distance tolls under congestion pricing and continuously distributed value of time
Transportation Research Part E: Logistics and Transportation Review ; 48 , 5 ; 937-957
2012-03-27
21 pages
Article (Journal)
Electronic Resource
English
Optimal distance tolls under congestion pricing and continuously distributed value of time
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