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The Split Delivery Vehicle Routing Problem with Three-Dimensional Loading and Time Windows Constraints

Author

Listed:
  • Zongyi Chen

    (School of Modern Post, Beijing University of Posts and Telecommunications, Beijing 100876, China)

  • Mingkang Yang

    (School of Modern Post, Beijing University of Posts and Telecommunications, Beijing 100876, China)

  • Yijun Guo

    (School of Modern Post, Beijing University of Posts and Telecommunications, Beijing 100876, China)

  • Yu Liang

    (School of Modern Post, Beijing University of Posts and Telecommunications, Beijing 100876, China)

  • Yifan Ding

    (School of Modern Post, Beijing University of Posts and Telecommunications, Beijing 100876, China)

  • Li Wang

    (School of Modern Post, Beijing University of Posts and Telecommunications, Beijing 100876, China)

Abstract

Besides routing and packing plans, synthetically considering the requirements of customers about service time is absolutely necessary. An order split delivery plan can not only better satisfy the service time requirements, but also improve the full-load rate of vehicles. The split delivery vehicle routing problem with three-dimensional loading constraints (3L-SDVRP) combines vehicle routing and three-dimensional loading with additional packing constraints. In the 3L-SDVRP splitting deliveries of customers is basically possible, i.e., a customer can be visited in two or more tours. The vehicle routing problem with three-dimensional loading constraints that are based on the time window and considering split delivery of orders (3L-CVRPTWSDO) and its optimization algorithm are studied in this paper. We established mathematical model of the problem and designed the tabu search algorithm. Based on the examples used in Gendreau et al. (2006), examples was constructed to test our algorithm. The experimental results have expressed that, in the 3L-CVRP problem, the results of split delivery is better than those of non-split delivery, and it is easier to satisfy the time window constraints. The algorithm in this paper generates high quality solutions, it provides a effective method to solve the 3L-CVRPTWSDO problems.

Suggested Citation

  • Zongyi Chen & Mingkang Yang & Yijun Guo & Yu Liang & Yifan Ding & Li Wang, 2020. "The Split Delivery Vehicle Routing Problem with Three-Dimensional Loading and Time Windows Constraints," Sustainability, MDPI, vol. 12(17), pages 1-21, August.
    • Handle: RePEc:gam:jsusta:v:12:y:2020:i:17:p:6987-:d:404920
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    References listed on IDEAS

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    1. Michel Gendreau & Manuel Iori & Gilbert Laporte & Silvano Martello, 2006. "A Tabu Search Algorithm for a Routing and Container Loading Problem," Transportation Science, INFORMS, vol. 40(3), pages 342-350, August.
    2. Marius M. Solomon, 1987. "Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints," Operations Research, INFORMS, vol. 35(2), pages 254-265, April.
    3. Moshe Dror & Pierre Trudeau, 1989. "Savings by Split Delivery Routing," Transportation Science, INFORMS, vol. 23(2), pages 141-145, May.
    4. Z Fu & R Eglese & L Y O Li, 2008. "A unified tabu search algorithm for vehicle routing problems with soft time windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(5), pages 663-673, May.
    5. Junmin Yi & Andreas Bortfeldt, 2018. "The Capacitated Vehicle Routing Problem with Three-Dimensional Loading Constraints and Split Delivery—A Case Study," Operations Research Proceedings, in: Andreas Fink & Armin Fügenschuh & Martin Josef Geiger (ed.), Operations Research Proceedings 2016, pages 351-356, Springer.
    6. Ana Moura, 2008. "A Multi-Objective Genetic Algorithm for the Vehicle Routing with Time Windows and Loading Problem," Springer Books, in: Andreas Bortfeldt & Jörg Homberger & Herbert Kopfer & Giselher Pankratz & Reinhard Strangmeier (ed.), Intelligent Decision Support, pages 187-201, Springer.
    7. Bo Peng & Yuan Zhang & Yuvraj Gajpal & Xiding Chen, 2019. "A Memetic Algorithm for the Green Vehicle Routing Problem," Sustainability, MDPI, vol. 11(21), pages 1-20, October.
    8. Archetti, Claudia & Savelsbergh, Martin W.P. & Grazia Speranza, M., 2008. "To split or not to split: That is the question," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(1), pages 114-123, January.
    9. G. Clarke & J. W. Wright, 1964. "Scheduling of Vehicles from a Central Depot to a Number of Delivery Points," Operations Research, INFORMS, vol. 12(4), pages 568-581, August.
    10. Moshe Dror & Pierre Trudeau, 1990. "Split delivery routing," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(3), pages 383-402, June.
    11. Reil, Sebastian & Bortfeldt, Andreas & Mönch, Lars, 2018. "Heuristics for vehicle routing problems with backhauls, time windows, and 3D loading constraints," European Journal of Operational Research, Elsevier, vol. 266(3), pages 877-894.
    12. Yong Wang & Yu Zhou & Lin Zhu & Fei Zhang & Yingchun Zhang, 2018. "Influencing Factors and Decoupling Elasticity of China’s Transportation Carbon Emissions," Energies, MDPI, vol. 11(5), pages 1-29, May.
    13. Weiheng Zhang & Yuvraj Gajpal & Srimantoorao. S. Appadoo & Qi Wei, 2020. "Multi-Depot Green Vehicle Routing Problem to Minimize Carbon Emissions," Sustainability, MDPI, vol. 12(8), pages 1-19, April.
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    Cited by:

    1. Vitalii Naumov & Michał Pawluś, 2021. "Identifying the Optimal Packing and Routing to Improve Last-Mile Delivery Using Cargo Bicycles," Energies, MDPI, vol. 14(14), pages 1-15, July.
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    3. Zheng Zhang & Bin Ji & Samson S. Yu, 2023. "An Adaptive Tabu Search Algorithm for Solving the Two-Dimensional Loading Constrained Vehicle Routing Problem with Stochastic Customers," Sustainability, MDPI, vol. 15(2), pages 1-23, January.

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