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The split heterogeneous vehicle routing problem with three-dimensional loading constraints on a large scale

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  • Rajaei, Maryam
  • Moslehi, Ghasem
  • Reisi-Nafchi, Mohammad

Abstract

This paper introduces a complex real-world problem on a large scale that combines the split delivery heterogeneous vehicle routing problem with three-dimensional loading and considers new routing and loading constraints. The problem aims to find a set of routes with minimum transportation cost by satisfying the demand of all customers and loading constraints. We propose a column generation-based heuristic algorithm that employs three heuristic algorithms to solve the subproblem and a hybrid algorithm for loading. Computational experiments on the literature instances indicate that the proposed algorithm can produce very near solutions to the literature algorithm's solutions in significantly shorter running times. This paper introduces real-world instances with 230 to 850 customers, several times larger than the existing benchmarks. The results of the proposed algorithm for real-world instances are effective, and compared to the current situation, it leads to a reduction of 20% in the average total cost of transportation. Also, the average number of vehicles is reduced by 36%.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:299:y:2022:i:2:p:706-721
    DOI: 10.1016/j.ejor.2021.08.025
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    References listed on IDEAS

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    1. Zhi-Hua Hu & Yingxue Zhao & Sha Tao & Zhao-Han Sheng, 2015. "Finished-vehicle transporter routing problem solved by loading pattern discovery," Annals of Operations Research, Springer, vol. 234(1), pages 37-56, November.
    2. Fuellerer, Guenther & Doerner, Karl F. & Hartl, Richard F. & Iori, Manuel, 2010. "Metaheuristics for vehicle routing problems with three-dimensional loading constraints," European Journal of Operational Research, Elsevier, vol. 201(3), pages 751-759, March.
    3. Desrochers, Martin & Soumis, Francois, 1988. "A reoptimization algorithm for the shortest path problem with time windows," European Journal of Operational Research, Elsevier, vol. 35(2), pages 242-254, May.
    4. 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.
    5. 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.
    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. Henriette Koch & Andreas Bortfeldt & Gerhard Wäscher, 2018. "A hybrid algorithm for the vehicle routing problem with backhauls, time windows and three-dimensional loading constraints," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(4), pages 1029-1075, October.
    8. Bortfeldt, Andreas & Wäscher, Gerhard, 2013. "Constraints in container loading – A state-of-the-art review," European Journal of Operational Research, Elsevier, vol. 229(1), pages 1-20.
    9. Männel, Dirk & Bortfeldt, Andreas, 2018. "Solving the pickup and delivery problem with three-dimensional loading constraints and reloading ban," European Journal of Operational Research, Elsevier, vol. 264(1), pages 119-137.
    10. Männel, Dirk & Bortfeldt, Andreas, 2016. "A hybrid algorithm for the vehicle routing problem with pickup and delivery and three-dimensional loading constraints," European Journal of Operational Research, Elsevier, vol. 254(3), pages 840-858.
    11. Manuel Iori & Silvano Martello, 2010. "Routing problems with loading constraints," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(1), pages 4-27, July.
    12. Bischoff, E. E. & Ratcliff, M. S. W., 1995. "Issues in the development of approaches to container loading," Omega, Elsevier, vol. 23(4), pages 377-390, August.
    13. 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.
    14. 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.
    15. Manuel Iori & Silvano Martello, 2010. "Rejoinder on: Routing problems with loading constraints," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(1), pages 41-42, July.
    16. Zhang, Zhenzhen & Wei, Lijun & Lim, Andrew, 2015. "An evolutionary local search for the capacitated vehicle routing problem minimizing fuel consumption under three-dimensional loading constraints," Transportation Research Part B: Methodological, Elsevier, vol. 82(C), pages 20-35.
    17. Teodor Gabriel Crainic & Guido Perboli & Roberto Tadei, 2008. "Extreme Point-Based Heuristics for Three-Dimensional Bin Packing," INFORMS Journal on Computing, INFORMS, vol. 20(3), pages 368-384, August.
    18. Emmanouil E. Zachariadis & Christos D. Tarantilis & Chris T. Kiranoudis, 2012. "The Pallet-Packing Vehicle Routing Problem," Transportation Science, INFORMS, vol. 46(3), pages 341-358, August.
    19. 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.
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