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A Combined Modal and Route Choice Behavioral Complementarity Equilibrium Model with Users of Vehicles and Electric Bicycles

Author

Listed:
  • Senlai Zhu

    (School of Transportation and Civil Engineering, Nantong University, Nantong 226019, China)

  • Jie Ma

    (School of Transportation, Southeast University, Nanjing 210096, China)

  • Tianpei Tang

    (School of Transportation and Civil Engineering, Nantong University, Nantong 226019, China
    Business School, University of Shanghai for Science and Technology, Shanghai 200093, China)

  • Quan Shi

    (School of Transportation and Civil Engineering, Nantong University, Nantong 226019, China)

Abstract

The popularity of electric bicycles in China makes them a common transportation mode for people to commute and move around. However, with the increase in traffic volumes for both vehicles and electric bicycles, urban traffic safety and congestion problems are rising due to traffic conflicts between these two modes. To regulate travel behavior, it is essential to analyze the mode choice and route choice behaviors of travelers. This study proposes a combined modal split and multiclass traffic user equilibrium model formulated as a complementarity problem (CP) to simultaneously characterize the mode choice behavior and route choice behavior of both vehicle and electric bicycle users. This model captures the impacts of route travel time and out-of-pocket cost on travelers’ route choice behaviors. Further, modified Bureau of Public Roads (BPR) functions are developed to model the travel times of links with and without physical separation between vehicle lanes and bicycle lanes. This study also analyzes the conditions for uniqueness of the equilibrium solution. A Newton method is developed to solve the proposed model. Numerical examples with different scales are used to validate the proposed model. The results show that electric bicycles are more favored by travelers during times of high network congestion. In addition, total system travel time can be reduced significantly through physical separation of vehicle lanes from electric bicycle lanes to minimize their mutual interference.

Suggested Citation

  • Senlai Zhu & Jie Ma & Tianpei Tang & Quan Shi, 2020. "A Combined Modal and Route Choice Behavioral Complementarity Equilibrium Model with Users of Vehicles and Electric Bicycles," IJERPH, MDPI, vol. 17(10), pages 1-18, May.
    • Handle: RePEc:gam:jijerp:v:17:y:2020:i:10:p:3704-:d:362356
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    References listed on IDEAS

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    1. Bagloee, Saeed Asadi & Sarvi, Majid & Wallace, Mark, 2016. "Bicycle lane priority: Promoting bicycle as a green mode even in congested urban area," Transportation Research Part A: Policy and Practice, Elsevier, vol. 87(C), pages 102-121.
    2. C. E. Lemke, 1965. "Bimatrix Equilibrium Points and Mathematical Programming," Management Science, INFORMS, vol. 11(7), pages 681-689, May.
    3. Di, Zhen & Yang, Lixing & Qi, Jianguo & Gao, Ziyou, 2018. "Transportation network design for maximizing flow-based accessibility," Transportation Research Part B: Methodological, Elsevier, vol. 110(C), pages 209-238.
    4. Bouscasse, Hélène & Joly, Iragaël & Peyhardi, Jean, 2019. "A new family of qualitative choice models: An application of reference models to travel mode choice," Transportation Research Part B: Methodological, Elsevier, vol. 121(C), pages 74-91.
    5. Stella C. Dafermos, 1972. "The Traffic Assignment Problem for Multiclass-User Transportation Networks," Transportation Science, INFORMS, vol. 6(1), pages 73-87, February.
    6. Liu, Yan & Cirillo, Cinzia, 2018. "A generalized dynamic discrete choice model for green vehicle adoption," Transportation Research Part A: Policy and Practice, Elsevier, vol. 114(PB), pages 288-302.
    7. Di, Xuan & He, Xiaozheng & Guo, Xiaolei & Liu, Henry X., 2014. "Braess paradox under the boundedly rational user equilibria," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 86-108.
    8. Jin, Sheng & Qu, Xiaobo & Zhou, Dan & Xu, Cheng & Ma, Dongfang & Wang, Dianhai, 2015. "Estimating cycleway capacity and bicycle equivalent unit for electric bicycles," Transportation Research Part A: Policy and Practice, Elsevier, vol. 77(C), pages 225-248.
    9. Hillel Bar-Gera, 2002. "Origin-Based Algorithm for the Traffic Assignment Problem," Transportation Science, INFORMS, vol. 36(4), pages 398-417, November.
    10. Geoffrey Rose, 2012. "E-bikes and urban transportation: emerging issues and unresolved questions," Transportation, Springer, vol. 39(1), pages 81-96, January.
    11. Nagurney, Anna & Dong, June, 2002. "A multiclass, multicriteria traffic network equilibrium model with elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 36(5), pages 445-469, June.
    12. Bar-Gera, Hillel & Boyce, David & Nie, Yu (Marco), 2012. "User-equilibrium route flows and the condition of proportionality," Transportation Research Part B: Methodological, Elsevier, vol. 46(3), pages 440-462.
    13. M. Seetharama Gowda & Jong-Shi Pang, 1992. "On Solution Stability of the Linear Complementarity Problem," Mathematics of Operations Research, INFORMS, vol. 17(1), pages 77-83, February.
    14. Wells, Peter & Lin, Xiao, 2015. "Spontaneous emergence versus technology management in sustainable mobility transitions: Electric bicycles in China," Transportation Research Part A: Policy and Practice, Elsevier, vol. 78(C), pages 371-383.
    15. Lin, Xiao & Wells, Peter & Sovacool, Benjamin K., 2017. "Benign mobility? Electric bicycles, sustainable transport consumption behaviour and socio-technical transitions in Nanjing, China," Transportation Research Part A: Policy and Practice, Elsevier, vol. 103(C), pages 223-234.
    16. Yang, Hai & Bell, Michael G. H., 2001. "Transport bilevel programming problems: recent methodological advances," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 1-4, January.
    17. Carlos F. Daganzo & Yosef Sheffi, 1977. "On Stochastic Models of Traffic Assignment," Transportation Science, INFORMS, vol. 11(3), pages 253-274, August.
    18. Clegg, Janet & Smith, Mike & Xiang, Yanling & Yarrow, Robert, 2001. "Bilevel programming applied to optimising urban transportation," Transportation Research Part B: Methodological, Elsevier, vol. 35(1), pages 41-70, January.
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    1. Xingyuan Li & Jing Bai, 2021. "A Ridesharing Choice Behavioral Equilibrium Model with Users of Heterogeneous Values of Time," IJERPH, MDPI, vol. 18(3), pages 1-22, January.

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