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The time-dependent pickup and delivery problem with time windows

Author

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  • Sun, Peng
  • Veelenturf, Lucas P.
  • Hewitt, Mike
  • Van Woensel, Tom

Abstract

In this paper, we study a family of time-dependent pickup and delivery problems with time windows to optimize the service of a transportation provider under two dimensions of operational flexibility. In the first, we consider problems wherein the transportation service provider can choose the transportation requests it serves in order to maximize profit. In the second, we consider problems wherein they can take advantage of periods of light traffic by dictating to drivers when their routes should begin. We also consider problems wherein these flexibilities are not present. We propose an exact solution approach for solving problems from this family that is based upon branch and price, wherein columns are generated via a tailored labeling algorithm. We augment the framework with adaptations of various speed-up techniques from the literature, including limited-memory subset-row cuts and route enumeration. With an extensive computational study, we assess the effectiveness of the proposed framework and the impact of the adapted techniques.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:116:y:2018:i:c:p:1-24
    DOI: 10.1016/j.trb.2018.07.002
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    Cited by:

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    7. Amir Saeed Nikkhah Qamsari & Seyyed-Mahdi Hosseini-Motlagh & Seyed Farid Ghannadpour, 2022. "A column generation approach for an inventory routing problem with fuzzy time windows," Operational Research, Springer, vol. 22(2), pages 1157-1207, April.
    8. Jie Zhang & Yifan Zhu & Xiaobo Li & Mengjun Ming & Weiping Wang & Tao Wang, 2022. "Multi-Trip Time-Dependent Vehicle Routing Problem with Split Delivery," Mathematics, MDPI, vol. 10(19), pages 1-24, September.
    9. Sun, Peng & Veelenturf, Lucas P. & Hewitt, Mike & Van Woensel, Tom, 2020. "Adaptive large neighborhood search for the time-dependent profitable pickup and delivery problem with time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 138(C).
    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. Tom Woensel, 2019. "Comments on: Perspectives on integer programming for time-dependent models," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(2), pages 180-183, July.
    12. Pan, Binbin & Zhang, Zhenzhen & Lim, Andrew, 2021. "Multi-trip time-dependent vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 291(1), pages 218-231.
    13. Qin, Hu & Su, E. & Wang, Yilun & Li, Jiliu, 2022. "Branch-and-price-and-cut for the electric vehicle relocation problem in one-way carsharing systems," Omega, Elsevier, vol. 109(C).
    14. Wang, Zhimian & An, Kun & Correia, Gonçalo & Ma, Wanjing, 2024. "Real-time scheduling and routing of shared autonomous vehicles considering platooning in intermittent segregated lanes and priority at intersections in urban corridors," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 186(C).
    15. Zhen, Lu & Baldacci, Roberto & Tan, Zheyi & Wang, Shuaian & Lyu, Junyan, 2022. "Scheduling heterogeneous delivery tasks on a mixed logistics platform," European Journal of Operational Research, Elsevier, vol. 298(2), pages 680-698.
    16. Molenbruch, Yves & Braekers, Kris & Hirsch, Patrick & Oberscheider, Marco, 2021. "Analyzing the benefits of an integrated mobility system using a matheuristic routing algorithm," European Journal of Operational Research, Elsevier, vol. 290(1), pages 81-98.
    17. Su, E. & Qin, Hu & Li, Jiliu & Pan, Kai, 2023. "An exact algorithm for the pickup and delivery problem with crowdsourced bids and transshipment," Transportation Research Part B: Methodological, Elsevier, vol. 177(C).
    18. Fan, Tijun & Pan, Qianlan & Pan, Fei & Zhou, Wei & Chen, Jingyi, 2020. "Intelligent logistics integration of internal and external transportation with separation mode," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
    19. Asghari, Mohammad & Mirzapour Al-e-hashem, S. Mohammad J., 2020. "A green delivery-pickup problem for home hemodialysis machines; sharing economy in distributing scarce resources," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 134(C).

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