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An improved multi-directional local search algorithm for the multi-objective consistent vehicle routing problem

Author

Listed:
  • Kunlei Lian
  • Ashlea Bennett Milburn
  • Ronald L. Rardin

Abstract

This article presents a multi-objective variant of the Consistent Vehicle Routing Problem (MoConVRP). Instead of modeling consistency considerations such as driver consistency and time consistency as constraints as in the majority of the ConVRP literature, they are included as objectives. Furthermore, instead of formulating a single weighted objective that relies on specifying relative priorities among objectives, an approach to approximate the Pareto frontier is developed. Specifically, an improved version of multi-directional local search (MDLS) is developed. The updated algorithm, IMDLS, makes use of large neighborhood search to find solutions that are improved according to at least one objective to add to the set of nondominated solutions at each iteration. The performance of IMDLS is compared with MDLS and five other multi-objective algorithms on a set of ConVRP test instances from the literature. The computational study validates the competitive performance of IMDLS. Furthermore, results of the computational study suggest that pursuing the best compromise solution among all three objectives may increase travel costs by about 5% while improving driver and time consistency by approximately 60% and over 75% on average, when compared with a compromise solution having lowest overall travel distance. Supplementary materials are available for this article. Go to the publishe's online edition of IIE Transactions for datasets, additional tables, detailed proofs, etc.

Suggested Citation

  • Kunlei Lian & Ashlea Bennett Milburn & Ronald L. Rardin, 2016. "An improved multi-directional local search algorithm for the multi-objective consistent vehicle routing problem," IISE Transactions, Taylor & Francis Journals, vol. 48(10), pages 975-992, October.
    • Handle: RePEc:taf:uiiexx:v:48:y:2016:i:10:p:975-992
    DOI: 10.1080/0740817X.2016.1167288
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    Citations

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    Cited by:

    1. Zajac, Sandra & Huber, Sandra, 2021. "Objectives and methods in multi-objective routing problems: a survey and classification scheme," European Journal of Operational Research, Elsevier, vol. 290(1), pages 1-25.
    2. Mohsen Emadikhiav & David Bergman & Robert Day, 2020. "Consistent Routing and Scheduling with Simultaneous Pickups and Deliveries," Production and Operations Management, Production and Operations Management Society, vol. 29(8), pages 1937-1955, August.
    3. Braekers, Kris & Kovacs, Attila A., 2016. "A multi-period dial-a-ride problem with driver consistency," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 355-377.
    4. Eskandarpour, Majid & Ouelhadj, Djamila & Hatami, Sara & Juan, Angel A. & Khosravi, Banafsheh, 2019. "Enhanced multi-directional local search for the bi-objective heterogeneous vehicle routing problem with multiple driving ranges," European Journal of Operational Research, Elsevier, vol. 277(2), pages 479-491.
    5. Ulmer, Marlin & Nowak, Maciek & Mattfeld, Dirk & Kaminski, Bogumił, 2020. "Binary driver-customer familiarity in service routing," European Journal of Operational Research, Elsevier, vol. 286(2), pages 477-493.
    6. Majid Eskandarpour & Pierre Dejax & Olivier Péton, 2019. "Multi-Directional Local Search for Sustainable Supply Chain Network Design," Post-Print hal-02407741, HAL.
    7. Stavropoulou, F. & Repoussis, P.P. & Tarantilis, C.D., 2019. "The Vehicle Routing Problem with Profits and consistency constraints," European Journal of Operational Research, Elsevier, vol. 274(1), pages 340-356.
    8. Dominik Goeke & Roberto Roberti & Michael Schneider, 2019. "Exact and Heuristic Solution of the Consistent Vehicle-Routing Problem," Transportation Science, INFORMS, vol. 53(4), pages 1023-1042, July.
    9. Guozhen Xiong & Chi Zhang & Fei Zhou, 2017. "A robust reliability redundancy allocation problem under abnormal external failures guided by a new importance measure," Journal of Risk and Reliability, , vol. 231(2), pages 180-199, April.
    10. Yang, Meng & Ni, Yaodong & Song, Qinyu, 2022. "Optimizing driver consistency in the vehicle routing problem under uncertain environment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    11. Díaz-Ríos, Daniel & Salazar-González, Juan-José, 2024. "Mathematical formulations for consistent travelling salesman problems," European Journal of Operational Research, Elsevier, vol. 313(2), pages 465-477.
    12. Daniel Y. Mo & H. Y. Lam & Weikun Xu & G. T. S. Ho, 2020. "Design of Flexible Vehicle Scheduling Systems for Sustainable Paratransit Services," Sustainability, MDPI, vol. 12(14), pages 1-18, July.
    13. Cui, Weiwei & Yang, Yiran & Di, Lei, 2023. "Modeling and optimization for static-dynamic routing of a vehicle with additive manufacturing equipment," International Journal of Production Economics, Elsevier, vol. 257(C).
    14. Kilinc, Mehmet Serdar & Milburn, Ashlea Bennett & Heier Stamm, Jessica L., 2017. "Measuring potential spatial accessibility of home healthcare services," Socio-Economic Planning Sciences, Elsevier, vol. 59(C), pages 13-25.
    15. Martins, Sara & Ostermeier, Manuel & Amorim, Pedro & Hübner, Alexander & Almada-Lobo, Bernardo, 2019. "Product-oriented time window assignment for a multi-compartment vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 276(3), pages 893-909.

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