IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v205y2026ics1366554525005307.html

Customized bus routing problem considering co-opetition with taxis at transport hubs

Author

Listed:
  • Guo, Yuhang
  • An, Kun
  • Ma, Wanjing

Abstract

At transport hubs, long taxi queues greatly degrade the passenger transfer experience, particularly at night when conventional buses and subways stop running. To address the difficulties in hailing taxis at transport hubs and improve hub transfer efficiency, we propose a combined mode referred to as the Customized Bus Plus Taxi (CBPT) service. In this mode, the customized bus (CB) transports passengers from the hub to bus stops closer to their destinations, where hailing a taxi is easier, which reduces both passenger travel time and costs. A logit model is constructed to capture passenger choices between CBPT services and taxi-alone services at hubs. A Mixed-integer Non-linear Programming (MINLP) model is formulated to solve the joint optimization problem for CB route and frequency design, considering time-varying demand. A customized gradient algorithm and a rolling horizon scheme are developed to solve the MINLP model. The application to Shanghai Hongqiao Hub demonstrates that the algorithm can solve a real-world problem in reasonable time. The results indicate that the CBPT service mode can reduce total costs by 43 % and waiting time costs by 84 % compared to using taxi services alone. The average taxi queuing time at the hub decreases from 50 mins to 8 mins. The CBPT service mode can greatly improve passenger transfer efficiency at the hub.

Suggested Citation

  • Guo, Yuhang & An, Kun & Ma, Wanjing, 2026. "Customized bus routing problem considering co-opetition with taxis at transport hubs," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 205(C).
  • Handle: RePEc:eee:transe:v:205:y:2026:i:c:s1366554525005307
    DOI: 10.1016/j.tre.2025.104502
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1366554525005307
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.tre.2025.104502?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Bo Sun & Ming Wei & Senlai Zhu, 2018. "Optimal Design of Demand-Responsive Feeder Transit Services with Passengers’ Multiple Time Windows and Satisfaction," Future Internet, MDPI, vol. 10(3), pages 1-15, March.
    2. He, Ping & Jin, Jian Gang & Schulte, Frederik, 2024. "The flexible airport bus and last-mile ride-sharing problem: Math-heuristic and metaheuristic approaches," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 184(C).
    3. Arthur Mahéo & Philip Kilby & Pascal Van Hentenryck, 2019. "Benders Decomposition for the Design of a Hub and Shuttle Public Transit System," Service Science, INFORMS, vol. 53(1), pages 77-88, February.
    4. An, Kun & Lo, Hong K., 2014. "Ferry service network design with stochastic demand under user equilibrium flows," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 70-89.
    5. He, Ping & Jin, Jian Gang & Trépanier, Martin & Schulte, Frederik, 2024. "A math-heuristic and exact algorithm for first-mile ridesharing problem with passenger service quality preferences," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 192(C).
    6. Huang, Wentao & Jian, Sisi, 2025. "Unveiling coopetition dynamics between shared mobility and public transport: A game-theoretic approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 193(C).
    7. Lo, Hong K. & An, Kun & Lin, Wei-hua, 2013. "Ferry service network design under demand uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 59(C), pages 48-70.
    8. Wang, David Z.W. & Lo, Hong K., 2008. "Multi-fleet ferry service network design with passenger preferences for differential services," Transportation Research Part B: Methodological, Elsevier, vol. 42(9), pages 798-822, November.
    9. Liu, Tao & Ceder, Avishai (Avi), 2015. "Analysis of a new public-transport-service concept: Customized bus in China," Transport Policy, Elsevier, vol. 39(C), pages 63-76.
    10. Park, Chung & Lee, Jungpyo & Sohn, So Young, 2019. "Recommendation of feeder bus routes using neural network embedding-based optimization," Transportation Research Part A: Policy and Practice, Elsevier, vol. 126(C), pages 329-341.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mingqiang Yin & Min Huang & Xiaohu Qian & Dazhi Wang & Xingwei Wang & Loo Hay Lee, 2023. "Fourth-party logistics network design with service time constraint under stochastic demand," Journal of Intelligent Manufacturing, Springer, vol. 34(3), pages 1203-1227, March.
    2. Aslaksen, Ingvild Eide & Svanberg, Elisabeth & Fagerholt, Kjetil & Johnsen, Lennart C. & Meisel, Frank, 2021. "A combined dial-a-ride and fixed schedule ferry service for coastal cities," Transportation Research Part A: Policy and Practice, Elsevier, vol. 153(C), pages 306-325.
    3. Škurić, Maja & Maraš, Vladislav & Davidović, Tatjana & Radonjić, Aleksandar, 2021. "Optimal allocating and sizing of passenger ferry fleet in maritime transport," Research in Transportation Economics, Elsevier, vol. 90(C).
    4. Lee, Enoch & Cen, Xuekai & Lo, Hong K., 2022. "Scheduling zonal-based flexible bus service under dynamic stochastic demand and Time-dependent travel time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).
    5. Bell, Michael G.H. & Pan, Jing-Jing & Teye, Collins & Cheung, Kam-Fung & Perera, Supun, 2020. "An entropy maximizing approach to the ferry network design problem," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 15-28.
    6. Lee, Enoch & Cen, Xuekai & Lo, Hong K., 2021. "Zonal-based flexible bus service under elastic stochastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    7. Ng, ManWo & Lo, Hong K., 2016. "Robust models for transportation service network design," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 378-386.
    8. An, Kun & Ouyang, Yanfeng, 2016. "Robust grain supply chain design considering post-harvest loss and harvest timing equilibrium," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 88(C), pages 110-128.
    9. GALARZA MONTENEGRO, Bryan David & SÖRENSEN, Kenneth & VANSTEENWEGEN, Pieter, 2023. "A demand-responsive feeder service with a maximum headway at mandatory stops," Working Papers 2023001, University of Antwerp, Faculty of Business and Economics.
    10. An, Kun & Lo, Hong K., 2016. "Two-phase stochastic program for transit network design under demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 84(C), pages 157-181.
    11. Zhang, Wei & Liu, Jiahui & Wang, Kai & Wang, Liang, 2024. "Routing and charging optimization for electric bus operations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 181(C).
    12. Li, Lu & Lo, Hong K. & Huang, Wei & Xiao, Feng, 2021. "Mixed bus fleet location-routing-scheduling under range uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 155-179.
    13. An, Kun & Lo, Hong K., 2015. "Robust transit network design with stochastic demand considering development density," Transportation Research Part B: Methodological, Elsevier, vol. 81(P3), pages 737-754.
    14. He, Qingying & Liu, Wei & Liu, Tian-Liang & Tian, Qiong, 2025. "Robust coordinated path planning for unmanned aerial vehicles and unmanned surface vehicles in maritime monitoring with travel time uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 199(C).
    15. An, Kun & Lo, Hong K., 2014. "Ferry service network design with stochastic demand under user equilibrium flows," Transportation Research Part B: Methodological, Elsevier, vol. 66(C), pages 70-89.
    16. Zhang, X. & Liu, X., 2022. "A two-stage robust model for express service network design with surging demand," European Journal of Operational Research, Elsevier, vol. 299(1), pages 154-167.
    17. Gong, Manlin & Hu, Yucong & Chen, Zhiwei & Li, Xiaopeng, 2021. "Transfer-based customized modular bus system design with passenger-route assignment optimization," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 153(C).
    18. Liang, Jinpeng & Wu, Jianjun & Gao, Ziyou & Sun, Huijun & Yang, Xin & Lo, Hong K., 2019. "Bus transit network design with uncertainties on the basis of a metro network: A two-step model framework," Transportation Research Part B: Methodological, Elsevier, vol. 126(C), pages 115-138.
    19. Nayan, Ashish & Wang, David Z.W., 2017. "Optimal bus transit route packaging in a privatized contracting regime," Transportation Research Part A: Policy and Practice, Elsevier, vol. 97(C), pages 146-157.
    20. Magalhães, David José Ahouagi Vaz de & Rivera-Gonzalez, Carlos, 2021. "Car users’ attitudes towards an enhanced bus system to mitigate urban congestion in a developing country," Transport Policy, Elsevier, vol. 110(C), pages 452-464.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:transe:v:205:y:2026:i:c:s1366554525005307. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/600244/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.