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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Xiaoyang Li & Peng Zhang & Mingmin Guo & Zhiyang Lin & Wenchen Yang, 2023. "Road tolling problem on a two-link parallel network based on the fundamental diagram," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(08), pages 1-17, August.
    • Handle: RePEc:wsi:ijmpcx:v:34:y:2023:i:08:n:s0129183123501024
    DOI: 10.1142/S0129183123501024
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