Road tolling problem on a two-link parallel network based on the fundamental diagram

Xiaoyang Li, Peng Zhang (), Mingmin Guo, Zhiyang Lin () and Wenchen Yang
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Xiaoyang Li: National Engineering Laboratory for Surface Transportation Weather Impacts Prevention, Broadvision Engineering Consultants Co., Ltd., Kunming 650200, P. R. China2Yunnan Key Laboratory of Digital Communications, Kunming 650103, P. R. China
Peng Zhang: Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200072, P. R. China
Mingmin Guo: Department of Aeronautics and Astronautics, Fudan University, Shanghai 200433, P. R. China
Zhiyang Lin: School of Economics and Management, Tongji University, Shanghai 200092, P. R. China
Wenchen Yang: National Engineering Laboratory for Surface Transportation Weather Impacts Prevention, Broadvision Engineering Consultants Co., Ltd., Kunming 650200, P. R. China2Yunnan Key Laboratory of Digital Communications, Kunming 650103, P. R. China

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 08, 1-17

Abstract: This paper studies a road tolling problem in which a road user travels from A to B either via road 1 by paying or via road 2 without charge. The route choice also obeys the user-equilibrium principle. However, the travel time is formulated as a strictly increasing function of the density through the velocity–density relationship or fundamental diagram, which significantly improves the formulation in the classical traffic assignment problem. Accordingly, the influence of toll rate on the road users, the administration department and the road runner is analyzed in detail, by assuming that the user demand is rigid and maximizing the total traffic flow and the runner’s benefits from the collection of toll fees.

Keywords: Static traffic assignment; toll rate; user equilibrium principle; fundamental diagram; rigid demand of traffic flow (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0129183123501024

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