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Title: A trial-and-error method with autonomous vehicle-to-infrastructure traffic counts for cordon-based congestion pricing
Authors: Liu, ZY
Zhang, Y
Wang, SA 
Li, ZB
Issue Date: 2017
Source: Journal of advanced transportation, 2017, v. 2017, 9243039
Abstract: This study proposes a practical trial-and-error method to solve the optimal toll design problem of cordon-based pricing, where only the traffic counts autonomously collected on the entry links of the pricing cordon are needed. With the fast development and adoption of vehicle-to-infrastructure (V2I) facilities, it is very convenient to autonomously collect these data. Two practical properties of the cordon-based pricing are further considered in this article: the toll charge on each entry of one pricing cordon is identical; the total inbound flow to one cordon should be restricted in order to maintain the traffic conditions within the cordon area. Then, the stochastic user equilibrium (SUE) with asymmetric link travel time functions is used to assess each feasible toll pattern. Based on a variational inequality (VI) model for the optimal toll pattern, this study proposes a theoretically convergent trial-and-error method for the addressed problem, where only traffic counts data are needed. Finally, the proposed method is verified based on a numerical network example.
Publisher: John Wiley & Sons
Journal: Journal of advanced transportation 
ISSN: 0197-6729
EISSN: 2042-3195
DOI: 10.1155/2017/9243039
Rights: Copyright © 2017 Zhiyuan Liu 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.
The following publication Zhiyuan Liu, Yong Zhang, Shuaian Wang, Zhibin Li, "A Trial-and-Error Method with Autonomous Vehicle-to-Infrastructure Traffic Counts for Cordon-Based Congestion Pricing", Journal of Advanced Transportation, vol. 2017, Article ID 9243039, 8 pages, 2017 is available at
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