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A new matheuristic approach for the multi-depot vehicle routing problem with inter-depot routes

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Abstract

The multi-depot vehicle routing problem with inter-depot routes is studied in this paper, where vehicles may reset their capacity at any depot during the working day. Due to the complexity of this problem, exact approaches are limited to small-size applications. In order to overcome this limitation, we propose a matheuristic which integrates a mixed integer linear programming formulation with a set of relax-and-fix strategies. This solution approach is shown to be very efficient, and for the first time, large-size benchmarking instances are solved.

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Acknowledgements

Tânia Ramos and Ana Barbosa-Póvoa acknowledge the support provided by FCT and P2020 under the project PTDC/EGE-OGE/28071/2017, Lisboa-01.0145-Feder-28071. Maria Isabel Gomes acknowledges the support provided by FCT under the project UID/MAT/00297/2019 (Centro de Matemática e Aplicações).

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Authors and Affiliations

  1. Centre for Management Studies, Instituto Superior Técnico (CEG-IST), Universidade de Lisboa, Av. Rovisco Pais, 1049-001, Lisbon, Portugal

    Tânia Rodrigues Pereira Ramos & Ana Paula Barbosa-Póvoa

  2. Business Research Unit, ISCTE (BRU-ISCTE), Instituto Universitário de Lisboa, Lisbon, Portugal

    Tânia Rodrigues Pereira Ramos

  3. Centre for Mathematics and Applications, Faculdade de Ciências e Tecnologia (CMA-FCT), Universidade Nova de Lisboa, Lisbon, Portugal

    Maria Isabel Gomes

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  1. Tânia Rodrigues Pereira Ramos
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  2. Maria Isabel Gomes
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  3. Ana Paula Barbosa-Póvoa
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Correspondence to Tânia Rodrigues Pereira Ramos.

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Ramos, T.R.P., Gomes, M.I. & Barbosa-Póvoa, A.P. A new matheuristic approach for the multi-depot vehicle routing problem with inter-depot routes. OR Spectrum 42, 75–110 (2020). https://doi.org/10.1007/s00291-019-00568-7

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