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A column generation based heuristic for the capacitated vehicle routing problem with three-dimensional loading constraints

Author

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  • Batoul Mahvash
  • Anjali Awasthi
  • Satyaveer Chauhan

Abstract

This paper addresses an integrated problem of vehicle routing and three-dimensional loading with additional practical constraints such as stability, fragility and LIFO. A column generation (CG) technique-based heuristic is proposed to handle this problem. To generate new columns in CG technique, first, an elementary shortest path problem is solved to find routes with negative reduced cost. Then an extreme point-based heuristic method is employed to verify feasibility of obtained routes in terms of loading and other constraints. To speed up the CG technique, fast column generation is also performed by applying an efficient heuristic pricing method. The CG technique, tested on the benchmark instances, outperforms the efficient tabu search method developed in the literature in terms of solution quality and computation time.

Suggested Citation

  • Batoul Mahvash & Anjali Awasthi & Satyaveer Chauhan, 2017. "A column generation based heuristic for the capacitated vehicle routing problem with three-dimensional loading constraints," International Journal of Production Research, Taylor & Francis Journals, vol. 55(6), pages 1730-1747, March.
    • Handle: RePEc:taf:tprsxx:v:55:y:2017:i:6:p:1730-1747
    DOI: 10.1080/00207543.2016.1231940
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    Citations

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    Cited by:

    1. Bortfeldt, Andreas & Yi, Junmin, 2020. "The Split Delivery Vehicle Routing Problem with three-dimensional loading constraints," European Journal of Operational Research, Elsevier, vol. 282(2), pages 545-558.
    2. Yuan, Yuan & Cattaruzza, Diego & Ogier, Maxime & Semet, Frédéric & Vigo, Daniele, 2021. "A column generation based heuristic for the generalized vehicle routing problem with time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    3. Xiangyi Zhang & Lu Chen & Michel Gendreau & André Langevin, 2022. "Learning-Based Branch-and-Price Algorithms for the Vehicle Routing Problem with Time Windows and Two-Dimensional Loading Constraints," INFORMS Journal on Computing, INFORMS, vol. 34(3), pages 1419-1436, May.
    4. Zhang, Xiangyi & Chen, Lu & Gendreau, Michel & Langevin, André, 2022. "A branch-and-cut algorithm for the vehicle routing problem with two-dimensional loading constraints," European Journal of Operational Research, Elsevier, vol. 302(1), pages 259-269.
    5. Rajaei, Maryam & Moslehi, Ghasem & Reisi-Nafchi, Mohammad, 2022. "The split heterogeneous vehicle routing problem with three-dimensional loading constraints on a large scale," European Journal of Operational Research, Elsevier, vol. 299(2), pages 706-721.
    6. Carlos A. Vega-Mejía & Jairo R. Montoya-Torres & Sardar M. N. Islam, 2019. "Consideration of triple bottom line objectives for sustainability in the optimization of vehicle routing and loading operations: a systematic literature review," Annals of Operations Research, Springer, vol. 273(1), pages 311-375, February.
    7. Shao, Kaining & Fan, Wenjuan & Lan, Shaowen & Kong, Min & Yang, Shanlin, 2023. "A column generation-based heuristic for brachytherapy patient scheduling with multiple treatment sessions considering radioactive source decay and time constraints," Omega, Elsevier, vol. 118(C).

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