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A large neighborhood search approach to the vehicle routing problem with delivery options

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  • Dumez, Dorian
  • Lehuédé, Fabien
  • Péton, Olivier

Abstract

To reduce delivery failures in last mile delivery, several types of delivery options have been proposed in the past twenty years. Still, customer satisfaction is a challenge because a single location is chosen independently of the time at which the customer’s order will be delivered. In addition, delivery at shared locations such as lockers and shops also experience failure due to capacity or opening-time issues at the moment of delivery. To address this issue and foster consolidation at shared delivery locations, we investigate the case where a customer can specify several delivery options together with preference levels and time windows. We define, in this article, the Vehicle Routing Problem with Delivery Options, which integrates several types of delivery locations. It consists of designing a set of routes for a fleet of vehicles that deliver to each customer at one of his/her options during the corresponding time window. These routes should respect capacities at shared locations such as lockers and minimum service level requirements, while minimizing the total routing costs. This problem is solved with a large neighborhood search in which a set partitioning problem is periodically used to reassemble routes. Specific ruin and recreate operators are proposed and combined with numerous operators from the literature. A thorough experimental study was carried out to determine a subset of efficient and complementary operators. The proposed method outperforms existing algorithms from the literature on particular cases of the problem under consideration, such as the vehicle routing problem with roaming delivery locations and the vehicle routing problem with home and roaming delivery locations. New instances are generated and used both to serve as a benchmark and to propose some managerial insight into the vehicle routing problem with alternative delivery options.

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  • Dumez, Dorian & Lehuédé, Fabien & Péton, Olivier, 2021. "A large neighborhood search approach to the vehicle routing problem with delivery options," Transportation Research Part B: Methodological, Elsevier, vol. 144(C), pages 103-132.
    • Handle: RePEc:eee:transb:v:144:y:2021:i:c:p:103-132
    DOI: 10.1016/j.trb.2020.11.012
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    3. Maren Schnieder, 2024. "Visualising Carrier Consolidation and Alternative Delivery Locations: A Digital Model of Last-Mile Delivery in England and Wales," Logistics, MDPI, vol. 8(3), pages 1-14, August.
    4. Nima Pourmohammadreza & Mohammad Reza Akbari Jokar, 2023. "A Novel Two-Phase Approach for Optimization of the Last-Mile Delivery Problem with Service Options," Sustainability, MDPI, vol. 15(10), pages 1-25, May.
    5. Ozyavas, Pinar & Buijs, Paul & Ursavas, Evrim & Teunter, Ruud, 2025. "Designing a sustainable delivery network with parcel locker systems as collection and transfer points," Omega, Elsevier, vol. 131(C).
    6. Mancini, Simona & Gansterer, Margaretha & Triki, Chefi, 2023. "Locker box location planning under uncertainty in demand and capacity availability," Omega, Elsevier, vol. 120(C).
    7. Archetti, C. & Carrabs, F. & Cerulli, R. & Laureana, F., 2024. "A new formulation and a branch-and-cut algorithm for the set orienteering problem," European Journal of Operational Research, Elsevier, vol. 314(2), pages 446-465.
    8. Frey, Christian M.M. & Jungwirth, Alexander & Frey, Markus & Kolisch, Rainer, 2023. "The vehicle routing problem with time windows and flexible delivery locations," European Journal of Operational Research, Elsevier, vol. 308(3), pages 1142-1159.
    9. Zhang, Ruijuan & Dai, Ying & Yang, Fei & Ma, Zujun, 2024. "A cooperative vehicle routing problem with delivery options for simultaneous pickup and delivery services in rural areas," Socio-Economic Planning Sciences, Elsevier, vol. 93(C).
    10. Chane-Haï Timothée & Vercraene Samuel & Monteiro Thibaud, 2023. "The assignment-dial-a-ride-problem," Health Care Management Science, Springer, vol. 26(4), pages 770-784, December.
    11. Liu, Chuanju & Zhang, Junlong & Lin, Shaochong & Shen, Zuo-Jun Max, 2023. "Service network design with consistent multiple trips," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 171(C).
    12. Zhang, Yimeng & Li, Xinlei & van Hassel, Edwin & Negenborn, Rudy R. & Atasoy, Bilge, 2022. "Synchromodal transport planning considering heterogeneous and vague preferences of shippers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).

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