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Optimizing the Three-Dimensional Multi-Objective of Feeder Bus Routes Considering the Timetable

Author

Listed:
  • Xinhua Gao

    (Chongqing Key Laboratory of Intelligent Integrated and Multidimensional Transportation System, Chongqing Jiaotong University, Chongqing 400074, China
    School of Traffic and Transportation, Chongqing Jiaotong University, Chongqing 400074, China
    Institute for Intelligent Optimization of Comprehensive Transportation Systems, Chongqing Jiaotong University, Chongqing 400074, China)

  • Song Liu

    (Chongqing Key Laboratory of Intelligent Integrated and Multidimensional Transportation System, Chongqing Jiaotong University, Chongqing 400074, China
    School of Traffic and Transportation, Chongqing Jiaotong University, Chongqing 400074, China
    Institute for Intelligent Optimization of Comprehensive Transportation Systems, Chongqing Jiaotong University, Chongqing 400074, China)

  • Shan Jiang

    (Chongqing City Transportation Development & Investment Group Co., Ltd., Chongqing 400074, China)

  • Dennis Yu

    (The David D. Reh School of Business, Clarkson University, Potsdam, NY 13699, USA)

  • Yong Peng

    (School of Traffic and Transportation, Chongqing Jiaotong University, Chongqing 400074, China)

  • Xianting Ma

    (School of Traffic and Transportation, Chongqing Jiaotong University, Chongqing 400074, China)

  • Wenting Lin

    (School of Traffic and Transportation, Chongqing Jiaotong University, Chongqing 400074, China)

Abstract

To optimize the evacuation process of rail transit passenger flows, the influence of the feeder bus network on bus demand is pivotal. This study first examines the transportation mode preferences of rail transit station passengers and addresses the feeder bus network’s optimization challenge within a three-dimensional framework, incorporating an elastic mechanism. Consequently, a strategic planning model is developed. Subsequently, a multi-objective optimization model is constructed to simultaneously increase passenger numbers and decrease both travel time costs and bus operational expenses. Due to the NP-hard nature of this optimization problem, we introduce an enhanced non-dominated sorting genetic algorithm, INSGA-II. This algorithm integrates innovative encoding and decoding rules, adaptive parameter adjustment strategies, and a combination of crowding distance and distribution entropy mechanisms alongside an external elite archive strategy to enhance population convergence and local search capabilities. The efficacy of the proposed model and algorithm is corroborated through simulations employing standard test functions and instances. The results demonstrate that the INSGA-II algorithm closely approximates the true Pareto front, attaining Pareto optimal solutions that are uniformly distributed. Additionally, an increase in the fleet size correlates with greater passenger volumes and higher operational costs, yet it substantially lowers the average travel cost per customer. An optimal fleet size of 11 vehicles is identified. Moreover, expanding feeder bus routes enhances passenger counts by 18.03%, raises operational costs by 32.33%, and cuts passenger travel time expenses by 21.23%. These findings necessitate revisions to the bus timetable. Therefore, for a bus network with elastic demand, it is essential to holistically optimize the actual passenger flow demand, fleet size, bus schedules, and departure frequencies.

Suggested Citation

  • Xinhua Gao & Song Liu & Shan Jiang & Dennis Yu & Yong Peng & Xianting Ma & Wenting Lin, 2024. "Optimizing the Three-Dimensional Multi-Objective of Feeder Bus Routes Considering the Timetable," Mathematics, MDPI, vol. 12(7), pages 1-27, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:7:p:930-:d:1361589
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    References listed on IDEAS

    as
    1. Xin Li & Ming Wei & Jia Hu & Yun Yuan & Huifu Jiang, 2018. "An Agent-Based Model for Dispatching Real-Time Demand-Responsive Feeder Bus," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-11, March.
    2. Fan, Wenbo & Mei, Yu & Gu, Weihua, 2018. "Optimal design of intersecting bimodal transit networks in a grid city," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 203-226.
    3. John HE Taplin & Yuchao Sun, 2020. "Optimizing bus stop locations for walking access: Stops-first design of a feeder route to enhance a residential plan," Environment and Planning B, , vol. 47(7), pages 1237-1259, September.
    4. Zhiwei Liu & Jianrong Liu, 2023. "Shared Autonomous Vehicles as Last-Mile Public Transport of Metro Trips," Sustainability, MDPI, vol. 15(19), pages 1-15, October.
    5. Wenhui Zhang & Yajing Song & Ge Zhou & Ziwen Song & Cong Xi, 2023. "Multiobjective-Based Decision-Making for the Optimization of an Urban Passenger Traffic System Structure," Sustainability, MDPI, vol. 15(18), pages 1-20, September.
    6. Hai Wang, 2019. "Routing and Scheduling for a Last-Mile Transportation System," Service Science, INFORMS, vol. 53(1), pages 131-147, February.
    7. Chen, Yao & An, Kun, 2021. "Integrated optimization of bus bridging routes and timetables for rail disruptions," European Journal of Operational Research, Elsevier, vol. 295(2), pages 484-498.
    8. Abdulaziz Almalaq & Tawfik Guesmi & Saleh Albadran, 2023. "A Hybrid Chaotic-Based Multiobjective Differential Evolution Technique for Economic Emission Dispatch Problem," Energies, MDPI, vol. 16(12), pages 1-34, June.
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