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Optimizing first-and-last-mile ridesharing services with a heterogeneous vehicle fleet and time-dependent travel times

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  • Sun, Bo
  • Chen, Shukai
  • Meng, Qiang

Abstract

This study investigates an on-demand first-and-last-mile ridesharing service (FLRS) problem considering the time-dependent travel time for an operator who manage a heterogeneous vehicle fleet. The operator, aiming to minimize the total operational cost, needs to simultaneously serve both first-mile (FM) and last-mile (LM) trips around a public transportation hub, such as a metro station. To holistically address this problem, we formulate a time-discretized mixed integer linear programming (MILP) model by constructing a time-expanded network and then extend a route-based set partitioning model. To yield good-quality solutions in a short computational time, a rolling-horizon-based column generation (RHCG) method is developed to handle real-time requests. An exact branch-and-price (BP) algorithm and a customized adaptive large neighborhood search (ALNS) algorithm are utilized to assess the solution quality of the applied RHCG. We conduct extensive numerical experiments created from real-world instances in Singapore to demonstrate the effectiveness of the proposed research methodology. The results of large-scale cases indicate that the RHCG outperforms both the commercial solver and the BP, and significantly reduces computational time in comparison with the ALNS. The implemented FLRS solution can decrease system-wide costs by 21.38% and increase shared-ride efficiency by 1.47 times, compared with the FM and LM services that operate separately.

Suggested Citation

  • Sun, Bo & Chen, Shukai & Meng, Qiang, 2025. "Optimizing first-and-last-mile ridesharing services with a heterogeneous vehicle fleet and time-dependent travel times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 193(C).
  • Handle: RePEc:eee:transe:v:193:y:2025:i:c:s1366554524004381
    DOI: 10.1016/j.tre.2024.103847
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    References listed on IDEAS

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    1. Sun, Peng & Veelenturf, Lucas P. & Hewitt, Mike & Van Woensel, Tom, 2018. "The time-dependent pickup and delivery problem with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 116(C), pages 1-24.
    2. Ho, Sin C. & Szeto, W.Y. & Kuo, Yong-Hong & Leung, Janny M.Y. & Petering, Matthew & Tou, Terence W.H., 2018. "A survey of dial-a-ride problems: Literature review and recent developments," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 395-421.
    3. Hai Wang, 2019. "Routing and Scheduling for a Last-Mile Transportation System," Service Science, INFORMS, vol. 53(1), pages 131-147, February.
    4. Cai, Yutong & Ong, Ghim Ping & Meng, Qiang, 2022. "Dynamic bicycle relocation problem with broken bicycles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 165(C).
    5. Said Dabia & Stefan Ropke & Tom van Woensel & Ton De Kok, 2013. "Branch and Price for the Time-Dependent Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 47(3), pages 380-396, August.
    6. Yu, Yang & Wang, Sihan & Wang, Junwei & Huang, Min, 2019. "A branch-and-price algorithm for the heterogeneous fleet green vehicle routing problem with time windows," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 511-527.
    7. Shen, Yu & Zhang, Hongmou & Zhao, Jinhua, 2018. "Integrating shared autonomous vehicle in public transportation system: A supply-side simulation of the first-mile service in Singapore," Transportation Research Part A: Policy and Practice, Elsevier, vol. 113(C), pages 125-136.
    8. Ichoua, Soumia & Gendreau, Michel & Potvin, Jean-Yves, 2003. "Vehicle dispatching with time-dependent travel times," European Journal of Operational Research, Elsevier, vol. 144(2), pages 379-396, January.
    9. Ma, Tai-Yu & Rasulkhani, Saeid & Chow, Joseph Y.J. & Klein, Sylvain, 2019. "A dynamic ridesharing dispatch and idle vehicle repositioning strategy with integrated transit transfers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 128(C), pages 417-442.
    10. Lu, Jiawei & Nie, Qinghui & Mahmoudi, Monirehalsadat & Ou, Jishun & Li, Chongnan & Zhou, Xuesong Simon, 2022. "Rich arc routing problem in city logistics: Models and solution algorithms using a fluid queue-based time-dependent travel time representation," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 143-182.
    11. Stefan Ropke & David Pisinger, 2006. "An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 40(4), pages 455-472, November.
    12. Boeing, Geoff, 2017. "OSMnx: New Methods for Acquiring, Constructing, Analyzing, and Visualizing Complex Street Networks," SocArXiv q86sd, Center for Open Science.
    13. Munise Kübra Şahin & Hande Yaman, 2022. "A Branch and Price Algorithm for the Heterogeneous Fleet Multi-Depot Multi-Trip Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 56(6), pages 1636-1657, November.
    14. Lucas Agussurja & Shih-Fen Cheng & Hoong Chuin Lau, 2019. "A State Aggregation Approach for Stochastic Multiperiod Last-Mile Ride-Sharing Problems," Service Science, INFORMS, vol. 53(1), pages 148-166, February.
    15. repec:osf:socarx:q86sd_v1 is not listed on IDEAS
    16. Yiming Liu & Yang Yu & Yu Zhang & Roberto Baldacci & Jiafu Tang & Xinggang Luo & Wei Sun, 2023. "Branch-Cut-and-Price for the Time-Dependent Green Vehicle Routing Problem with Time Windows," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 14-30, January.
    17. Jean-François Cordeau & Gilbert Laporte, 2007. "The dial-a-ride problem: models and algorithms," Annals of Operations Research, Springer, vol. 153(1), pages 29-46, September.
    18. Pessoa, Artur & Sadykov, Ruslan & Uchoa, Eduardo, 2018. "Enhanced Branch-Cut-and-Price algorithm for heterogeneous fleet vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 270(2), pages 530-543.
    19. Stefan Ropke & Jean-François Cordeau, 2009. "Branch and Cut and Price for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 43(3), pages 267-286, August.
    20. A. Pessoa & R. Sadykov & E. Uchoa & F. Vanderbeck, 2018. "Automation and Combination of Linear-Programming Based Stabilization Techniques in Column Generation," INFORMS Journal on Computing, INFORMS, vol. 30(2), pages 339-360, May.
    21. Zhu, Zheng & Qin, Xiaoran & Ke, Jintao & Zheng, Zhengfei & Yang, Hai, 2020. "Analysis of multi-modal commute behavior with feeding and competing ridesplitting services," Transportation Research Part A: Policy and Practice, Elsevier, vol. 132(C), pages 713-727.
    22. Liang, Xiao & Correia, Gonçalo Homem de Almeida & van Arem, Bart, 2016. "Optimizing the service area and trip selection of an electric automated taxi system used for the last mile of train trips," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 93(C), pages 115-129.
    23. Rick Grahn & Sean Qian & Chris Hendrickson, 2023. "Optimizing first- and last-mile public transit services leveraging transportation network companies (TNC)," Transportation, Springer, vol. 50(5), pages 2049-2076, October.
    24. Yuan Qu & Jonathan F. Bard, 2015. "A Branch-and-Price-and-Cut Algorithm for Heterogeneous Pickup and Delivery Problems with Configurable Vehicle Capacity," Transportation Science, INFORMS, vol. 49(2), pages 254-270, May.
    25. Mahmoudi, Monirehalsadat & Zhou, Xuesong, 2016. "Finding optimal solutions for vehicle routing problem with pickup and delivery services with time windows: A dynamic programming approach based on state–space–time network representations," Transportation Research Part B: Methodological, Elsevier, vol. 89(C), pages 19-42.
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