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A bi-level Voronoi diagram-based metaheuristic for a large-scale multi-depot vehicle routing problem

Author

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  • Tu, Wei
  • Fang, Zhixiang
  • Li, Qingquan
  • Shaw, Shih-Lung
  • Chen, BiYu

Abstract

In this paper, a bi-level Voronoi diagram-based metaheuristic is introduced to solve the large-scale multi-depot vehicle routing problem (MDVRP). The upper level of the Voronoi diagram, derived from the depots, is used to allocate customers to depots. The lower level of the Voronoi diagram, derived from the customers, limits the search space of reallocating customers among the depots and rearranging the customers among the routes from each depot to its Voronoi neighbors. The results of numerical experiments clearly indicate the benefits of this proposed bi-level Voronoi diagram approach for solving very large-scale MDVRPs while balancing the solution quality and the computational demand.

Suggested Citation

  • Tu, Wei & Fang, Zhixiang & Li, Qingquan & Shaw, Shih-Lung & Chen, BiYu, 2014. "A bi-level Voronoi diagram-based metaheuristic for a large-scale multi-depot vehicle routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 84-97.
    • Handle: RePEc:eee:transe:v:61:y:2014:i:c:p:84-97
    DOI: 10.1016/j.tre.2013.11.003
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    2. Sadati, Mir Ehsan Hesam & Çatay, Bülent, 2021. "A hybrid variable neighborhood search approach for the multi-depot green vehicle routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 149(C).
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    4. Tânia Rodrigues Pereira Ramos & Maria Isabel Gomes & Ana Paula Barbosa-Póvoa, 2020. "A new matheuristic approach for the multi-depot vehicle routing problem with inter-depot routes," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(1), pages 75-110, March.
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    6. Yong Wang & Yingying Yuan & Xiangyang Guan & Haizhong Wang & Yong Liu & Maozeng Xu, 2019. "Collaborative Mechanism for Pickup and Delivery Problems with Heterogeneous Vehicles under Time Windows," Sustainability, MDPI, vol. 11(12), pages 1-30, June.
    7. Tao Yang & Weixin Wang, 2022. "Logistics Network Distribution Optimization Based on Vehicle Sharing," Sustainability, MDPI, vol. 14(4), pages 1-12, February.

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