Abstract
The multi-depot open vehicle routing problem (MDOVRP) is a recent hard combinatorial optimization problem that belongs to the vehicle routing problem family. In the MDOVRP, the vehicles depart from several depots and once they have delivered the goods to the last customers in their routes they are not required to return to the depots. In this work, we propose a new mixed integer programming formulation for the MDOVRP by improving some constraints from the literature and proposing new ones. The computational experience carried out over problem instances from the literature indicates that our proposed model outperforms the existing one.



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Acknowledgments
This work has been partially funded by the Spanish Ministry of Economy and Competitiveness (Project TIN2012-32608). Eduardo Lalla-Ruiz and Christopher Expósito-Izquierdo thank the Canary Government for the financial support they receive through their post-graduate grants.
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Lalla-Ruiz, E., Expósito-Izquierdo, C., Taheripour, S. et al. An improved formulation for the multi-depot open vehicle routing problem. OR Spectrum 38, 175–187 (2016). https://doi.org/10.1007/s00291-015-0408-9
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DOI: https://doi.org/10.1007/s00291-015-0408-9