Integrating public transport in sustainable last-mile delivery: column generation approaches

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• dc.contributor.author Delle Donne, Diego
• dc.contributor.author Santini, Alberto
• dc.contributor.author Archetti, Claudia
• dc.date.accessioned 2025-05-16T10:18:50Z
• dc.date.available 2025-05-16T10:18:50Z
• dc.date.issued 2025
• dc.date.updated 2025-05-16T10:18:49Z
• dc.description.abstract We tackle the problem of coordinating a three-echelon last-mile delivery system. In the first echelon, trucks transport parcels from distribution centres outside the city to public transport stops. In the second echelon, the parcels move on public transport and reach the city centre. In the third echelon, zero-emission vehicles pick up the parcels at public transport stops and deliver them to customers. We introduce two extended formulations for this problem. The first has two exponential sets of variables, while the second has one. We propose column generation algorithms and compare several methods to solve the pricing problems on specially constructed graphs. We also devise dual bounds, which we can compute even when the graphs are so large that not a single pricing round completes within the time limit. Compared to previous formulations, our models find 16 new best known solutions out of an existing dataset of 24 instances from the literature.
• dc.description.sponsorship We are extremely grateful to the authors of Pessoa et al. (2023) for sharing with us their VrpSolver implementation of the GVRP. This work was partially funded by the CY Initiative of Excellence (grant "Investissements d'Avenir" ANR-16-IDEX-0008). The work of Alberto Santini has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska Curie grant agreement number 945380. We thank three anonymous reviewers whose comments helped improving a former version of the paper.
• dc.format.mimetype application/pdf
• dc.identifier.citation Delle Donne D, Santini A, Archetti C. Integrating public transport in sustainable last-mile delivery: column generation approaches. Eur J Oper Res. 2025 Jul 1;324(1):75-91. DOI: 10.1016/j.ejor.2024.12.047
• dc.identifier.doi http://dx.doi.org/10.1016/j.ejor.2024.12.047
• dc.identifier.issn 0377-2217
• dc.identifier.uri http://hdl.handle.net/10230/70424
• dc.language.iso eng
• dc.publisher Elsevier
• dc.relation.ispartof European Journal of Operational Research. 2025 Jul 1;324(1):75-91
• dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/945380
• dc.rights © 2025 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/bync-nd/4.0/).
• dc.rights.accessRights info:eu-repo/semantics/openAccess
• dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/
• dc.subject.keyword Combinatorial optimisation
• dc.subject.keyword Last-mile delivery
• dc.subject.keyword Logistics
• dc.subject.keyword Column generation
• dc.subject.keyword Multi-echelon transportation
• dc.title Integrating public transport in sustainable last-mile delivery: column generation approaches
• dc.type info:eu-repo/semantics/article
• dc.type.version info:eu-repo/semantics/publishedVersion