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Journal of Advanced Transportation
Volume 2017, Article ID 3127398, 12 pages
Research Article

A Road Pricing Model for Congested Highways Based on Link Densities

1School of Industrial Engineering, Universidad Diego Portales, Ejército 441, Santiago de Chile, Chile
2School of Government, Universidad del Desarrollo, Av. Plaza 680, Santiago de Chile, Chile

Correspondence should be addressed to Louis de Grange; lc.pdu@egnarged.siuol

Received 7 June 2017; Revised 27 July 2017; Accepted 9 August 2017; Published 17 October 2017

Academic Editor: Sara Moridpour

Copyright © 2017 Louis de Grange et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A road pricing model is presented that determines tolls for congested highways. The main contribution of this paper is to include density explicitly in the pricing scheme and not just flow and time. The methodology solves a nonlinear constrained optimization problem whose objective function maximizes toll revenue or highway use (2 scenarios). The results show that the optimal tolls depend on highway design and the level of congestion. The model parameters are estimated from a Chile’s highway data. Significant differences were found between the highway’s observed tolls and the optimal toll levels for the two scenarios. The proposed approach could be applied to either planned highway concessions with recovery of capital costs or the extension or retendering of existing concessions.