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The split delivery vehicle routing problem with minimum delivery amounts

Author

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  • Gulczynski, Damon
  • Golden, Bruce
  • Wasil, Edward

Abstract

In the vehicle routing problem, a fleet of vehicles must service the demands of customers in a least-cost way. By allowing multiple vehicles to service the same customer (i.e., splitting deliveries), substantial savings in travel costs are possible. However, split deliveries are often an inconvenience to the customer who would prefer to have demand serviced in a single visit. We consider the vehicle routing problem in which split deliveries are allowed only if a minimum fraction of a customer's demand is serviced by a vehicle. We develop a heuristic method for solving this problem and report computational results on a wide range of problem sets.

Suggested Citation

  • Gulczynski, Damon & Golden, Bruce & Wasil, Edward, 2010. "The split delivery vehicle routing problem with minimum delivery amounts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(5), pages 612-626, September.
    • Handle: RePEc:eee:transe:v:46:y:2010:i:5:p:612-626
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    Citations

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    Cited by:

    1. Nicola Bianchessi & Michael Drexl & Stefan Irnich, 2017. "The Split Delivery Vehicle Routing Problem with Time Windows and Customer Inconvenience Constraints," Working Papers 1706, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    2. Salazar-González, Juan-José & Santos-Hernández, Beatriz, 2015. "The split-demand one-commodity pickup-and-delivery travelling salesman problem," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 58-73.
    3. Nicola Bianchessi & Michael Drexl & Stefan Irnich, 2019. "The Split Delivery Vehicle Routing Problem with Time Windows and Customer Inconvenience Constraints," Transportation Science, INFORMS, vol. 53(4), pages 1067-1084, March.
    4. Gizem Ozbaygin & Oya Karasan & Hande Yaman, 2018. "New exact solution approaches for the split delivery vehicle routing problem," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 6(1), pages 85-115, March.
    5. Chen, Qingfeng & Li, Kunpeng & Liu, Zhixue, 2014. "Model and algorithm for an unpaired pickup and delivery vehicle routing problem with split loads," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 69(C), pages 218-235.
    6. Annelieke C. Baller & Said Dabia & Wout E. H. Dullaert & Daniele Vigo, 2020. "The Vehicle Routing Problem with Partial Outsourcing," Transportation Science, INFORMS, vol. 54(4), pages 1034-1052, July.
    7. S. F. Ghannadpour & S. Noori & R. Tavakkoli-Moghaddam, 2014. "A multi-objective vehicle routing and scheduling problem with uncertainty in customers’ request and priority," Journal of Combinatorial Optimization, Springer, vol. 28(2), pages 414-446, August.
    8. Salani, Matteo & Vacca, Ilaria, 2011. "Branch and price for the vehicle routing problem with discrete split deliveries and time windows," European Journal of Operational Research, Elsevier, vol. 213(3), pages 470-477, September.
    9. Brouer, Berit Dangaard & Desaulniers, Guy & Pisinger, David, 2014. "A matheuristic for the liner shipping network design problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 72(C), pages 42-59.
    10. Han, Anthony Fu-Wha & Chu, Yu-Ching, 2016. "A multi-start heuristic approach for the split-delivery vehicle routing problem with minimum delivery amounts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 88(C), pages 11-31.
    11. Zhang, Jianghua & Zhao, Yingxue & Xue, Weili & Li, Jin, 2015. "Vehicle routing problem with fuel consumption and carbon emission," International Journal of Production Economics, Elsevier, vol. 170(PA), pages 234-242.
    12. Xiaxia Ma & Wenliang Bian & Wenchao Wei & Fei Wei, 2022. "Customer-Centric, Two-Product Split Delivery Vehicle Routing Problem under Consideration of Weighted Customer Waiting Time in Power Industry," Energies, MDPI, vol. 15(10), pages 1-23, May.
    13. Xu, Dongyang & Li, Kunpeng & Zou, Xuxia & Liu, Ling, 2017. "An unpaired pickup and delivery vehicle routing problem with multi-visit," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 103(C), pages 218-247.
    14. Weikang Fang & Zailin Guan & Peiyue Su & Dan Luo & Linshan Ding & Lei Yue, 2022. "Multi-Objective Material Logistics Planning with Discrete Split Deliveries Using a Hybrid NSGA-II Algorithm," Mathematics, MDPI, vol. 10(16), pages 1-30, August.
    15. Tang, Jiafu & Yu, Yang & Li, Jia, 2015. "An exact algorithm for the multi-trip vehicle routing and scheduling problem of pickup and delivery of customers to the airport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 73(C), pages 114-132.
    16. Narjes MASHHADI BANDANI & Alireza NADERI & Mohsen AKBARPOUR SHIRZAEI, 2017. "Cement Transportation Limited-Fleet Modeling And Assigning To Rated Demands," Transport Problems, Silesian University of Technology, Faculty of Transport, vol. 12(1), pages 111-123, March.

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