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On service consistency in multi-period vehicle routing

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  • Luo, Zhixing
  • Qin, Hu
  • Che, ChanHou
  • Lim, Andrew

Abstract

In this paper, we investigate a new variant of the vehicle routing problem (VRP), termed the multi-period vehicle routing problem with time windows and limited visiting quota (MVRPTW-LVQ), which requires that any customer can be served by at most a certain number of different vehicles over the planning horizon. We first formulate this problem as a mixed integer programming model and then devise a three-stage heuristic approach to solve the problem. Extensive computational experiments demonstrate the effectiveness of our approach. Moreover, we empirically analyze the impacts of varying the levels of service consistency and demand fluctuation on the operational cost. The analysis results show that when demand fluctuation is relatively small compared to vehicle capacity, enforcing consistent service can increase customer satisfaction with only a slight increase in the operational cost. However, when a vehicle can only serve a small number of customers due to its capacity limit, relaxing the service consistency requirement by increasing the value of the visiting quota could be considered.

Suggested Citation

  • Luo, Zhixing & Qin, Hu & Che, ChanHou & Lim, Andrew, 2015. "On service consistency in multi-period vehicle routing," European Journal of Operational Research, Elsevier, vol. 243(3), pages 731-744.
    • Handle: RePEc:eee:ejores:v:243:y:2015:i:3:p:731-744
    DOI: 10.1016/j.ejor.2014.12.019
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    References listed on IDEAS

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    Citations

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    Cited by:

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    2. 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.
    3. Zhen, Lu & Gao, Jiajing & Tan, Zheyi & Laporte, Gilbert & Baldacci, Roberto, 2023. "Territorial design for customers with demand frequency," European Journal of Operational Research, Elsevier, vol. 309(1), pages 82-101.
    4. 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).
    5. Dieter, Peter & Caron, Matthew & Schryen, Guido, 2023. "Integrating driver behavior into last-mile delivery routing: Combining machine learning and optimization in a hybrid decision support framework," European Journal of Operational Research, Elsevier, vol. 311(1), pages 283-300.
    6. Yong Wang & Qin Li & Xiangyang Guan & Jianxin Fan & Yong Liu & Haizhong Wang, 2020. "Collaboration and Resource Sharing in the Multidepot Multiperiod Vehicle Routing Problem with Pickups and Deliveries," Sustainability, MDPI, vol. 12(15), pages 1-33, July.
    7. Rodríguez-Martín, Inmaculada & Salazar-González, Juan-José & Yaman, Hande, 2019. "The periodic vehicle routing problem with driver consistency," European Journal of Operational Research, Elsevier, vol. 273(2), pages 575-584.
    8. Vidal, Thibaut & Laporte, Gilbert & Matl, Piotr, 2020. "A concise guide to existing and emerging vehicle routing problem variants," European Journal of Operational Research, Elsevier, vol. 286(2), pages 401-416.
    9. 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.
    10. Rodríguez-Martín, Inmaculada & Yaman, Hande, 2022. "Periodic Vehicle Routing Problem with Driver Consistency and service time optimization," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 468-484.
    11. Subramanyam, Anirudh & Gounaris, Chrysanthos E., 2016. "A branch-and-cut framework for the consistent traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 248(2), pages 384-395.
    12. Wang, Yulan & Wallace, Stein W. & Shen, Bin & Choi, Tsan-Ming, 2015. "Service supply chain management: A review of operational models," European Journal of Operational Research, Elsevier, vol. 247(3), pages 685-698.
    13. 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.
    14. Quirion-Blais, Olivier & Chen, Lu, 2021. "A case-based reasoning approach to solve the vehicle routing problem with time windows and drivers’ experience," Omega, Elsevier, vol. 102(C).

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