Optimizing the freeway toll rates for freight transportation following truck ban policy on central business district

Authors

DOI:

https://doi.org/10.59490/ejtir.2026.26.2.7798

Keywords:

toll optimization, multiclass traffic assignment model, passenger vehicles and trucks solution algorithm

Abstract

The truck ban policy on freeways in central business districts (CBD) is extensively used in China nowadays to improve traffic safety and reduce traffic congestion. However, this policy will drastically impact freight transportation, especially when the freeway truck volume is high. To mitigate the negative effects and encourage truck drivers to use alternative freeways, this study proposes a freeway tolling problem for different types of trucks to reduce travel costs following the truck ban policy in CBD. It is formulated as a bi-level optimization problem. The upper-level problem optimizes the freeway toll rates for different types of trucks to reduce the total travel cost (TTC) of the network. The lower-level problem is a multiclass traffic assignment model to characterize the equilibrium flow mixed with passenger vehicles and different types of trucks following the toll strategy. The bi-level problem is solved using a line search algorithm developed based on a feasible direction method. Application of the proposed method in Ningbo, China, finds that the proposed solution algorithm can efficiently solve the bi-level problem and converges only after 11 iterations. Compared to the initial state where the truck ban is not implemented, the optimal tolling strategy can effectively reduce the TTC of the network by 8.5%, with an increase of only 1.15% for all trucks. This indicates that the proposed method can effectively nudge truck drivers to use alternative routes with a minor rise in travel costs. Therefore, it can help traffic managers design better strategies to avoid the resistance of truck users following the truck ban policy in CBD.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

References

Cawood, M. E., & Kostreva, M. M. (1994). Norm-relaxed method of feasible directions for solving nonlinear programming problems. Journal of Optimization Theory and Applications, 83(2), 311–320. https://doi.org/10.1007/bf02190059

Chiou, S.-W. (2008). Optimization of limited network capacity with toll settings. Information Sciences, 179(1-2), 109–119. https://doi.org/10.1016/j.ins.2008.08.012

Han, D., & Yang, H. (2008). Congestion pricing in the absence of demand functions. Transportation Research Part E: Logistics and Transportation Review, 45(1), 159–171. https://doi.org/10.1016/j.tre.2008.03.002

Jiang, L., Mahmassani, H. S., & Zhang, K. (2011). Congestion pricing, heterogeneous users, and travel time reliability: Multicriterion dynamic user equilibrium model and efficient implementation for large-scale networks. Transportation Research Record: Journal of the Transportation Research Board, 2254(1), 58-67. https://doi.org/10.3141/2254-07

Liu, W., & Ma, J. T. (2009). Optimizing highway tolls with an intelligent simulated annealing method. 2009 International Conference on Artificial Intelligence and Computational Intelligence, 4, 78–82. https://doi.org/10.1109/AICI.2009.309

Prashker, J. N., & Bekhor, S. (1999). Stochastic user-equilibrium formulations for extended-logit assignment models. Transportation Research Record: Journal of the Transportation Research Board, 1676(1), 145-152. https://doi.org/10.3141/1676-18

Ramming, M. S. (2002). Network knowledge and route choice [Doctoral dissertation, Massachusetts Institute of Technology]. DSpace@MIT. https://dspace.mit.edu/handle/1721.1/49797

Singh, S., & Santhakumar, S. M. (2021). Empirical analysis of impact of multi-class commercial vehicles on multi-lane highway traffic characteristics under mixed traffic conditions. International Journal of Transportation Science and Technology, 11(3), 545–562. https://doi.org/10.1016/j.ijtst.2021.07.005

Wang, J., Lu, L., Peeta, S., & He, Z. (2021). Optimal toll design problems under mixed traffic flow of human-driven vehicles and connected and autonomous vehicles. Transportation Research Part C: Emerging Technologies, 125, Article 102952. https://doi.org/10.1016/j.trc.2020.102952

Wang, J., Peeta, S., & He, X. (2019). Multiclass traffic assignment model for mixed traffic flow of human-driven vehicles and connected and autonomous vehicles. Transportation Research Part B: Methodological, 126, 139–168. https://doi.org/10.1016/j.trb.2019.05.022

Wang, J., Wang, W., Ren, G., & Yang, M. (2022). Worst-case traffic assignment model for mixed traffic flow of human-driven vehicles and connected and autonomous vehicles by factoring in the uncertain link capacity. Transportation Research Part C: Emerging Technologies, 140, Article 103703. https://doi.org/10.1016/j.trc.2022.103703

Xu, W., Yang, H., & Han, D. (2013). Sequential experimental approach for congestion pricing with multiple vehicle types and multiple time periods. Transportmetrica B: Transport Dynamics, 1(2), 136-152. https://doi.org/10.1080/21680566.2013.825570

Yang, H. (1999). System optimum, stochastic user equilibrium, and optimal link tolls. Transportation Science, 33(4), 354–360. https://doi.org/10.1287/trsc.33.4.354

Yang, H., & Huang, H.-J. (2005). Discriminatory and anonymous road pricing. In Mathematical and Economic Theory of Road Pricing. Emerald. https://doi.org/10.1108/9780080456713-006

Yang, H., & Zhang, X. (2002). Multiclass network toll design problem with social and spatial equity constraints. Journal of Transportation Engineering, 128(5), 420–428. https://doi.org/10.1061/(ASCE)0733-947X(2002)128:5(420)

Yang, H., & Zhang, X. (2007). Existence of anonymous link tolls for system optimum on networks with mixed equilibrium behaviors. Transportation Research Part B: Methodological, 42(2), 99–112. https://doi.org/10.1016/j.trb.2007.07.001

Yang, H., Zhang, X., & Meng, Q. (2003). Modeling private highways in networks with entry–exit based toll charges. Transportation Research Part B: Methodological, 38(3), 191–213. https://doi.org/10.1016/S0191-2615(03)00050-X

Zhang, S., Wu, Y., Liu, H., Huang, R., Un, P., Zhou, Y., Fu, L., & Hao, J. (2014). Real-world fuel consumption and CO2 (carbon dioxide) emissions by driving conditions for light-duty passenger vehicles in China. Energy, 69, 247–257. https://doi.org/10.1016/j.energy.2014.02.103

Downloads

Published

2026-05-04

How to Cite

Yang, B. (2026). Optimizing the freeway toll rates for freight transportation following truck ban policy on central business district. European Journal of Transport and Infrastructure Research, 26(2). https://doi.org/10.59490/ejtir.2026.26.2.7798

Issue

Section

Research articles

Categories

Similar Articles

<< < 1 2 3 4 5 6 7 8 9 10 > >> 

You may also start an advanced similarity search for this article.