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The Multi-Depot Traveling Purchaser Problem with Shared Resources

Author

Listed:
  • Zahra Sadat Hasanpour Jesri

    (Department of Industrial Engineering, Sharif University of Technology, Tehran 11155-9465, Iran)

  • Kourosh Eshghi

    (Department of Industrial Engineering, Sharif University of Technology, Tehran 11155-9465, Iran)

  • Majid Rafiee

    (Department of Industrial Engineering, Sharif University of Technology, Tehran 11155-9465, Iran)

  • Tom Van Woensel

    (School of Industrial Engineering, Eindhoven University of Technology, 5612 AZ Eindhoven, The Netherlands)

Abstract

Using shared resources has created better opportunities in the field of sustainable logistics and procurement. The Multi-Depot Traveling Purchaser Problem under Shared Resources (MDTPPSR) is a new variant of the Traveling Purchaser Problem (TPP) in sustainable inbound logistics. In this problem, each depot can purchase its products using the shared resources of other depots, and vehicles do not have to return to their starting depots. The routing of this problem is a Multi-Trip, Open Vehicle Routing Problem. A tailored integer programming model is formulated to minimize the total purchasers’ costs. Considering the complexity of the model, we have presented a decomposition-based algorithm that breaks down the problem into two phases. In the first phase, tactical decisions regarding supplier selection and the type of collaboration are made. In the second phase, the sequence of visiting is determined. To amend the decisions made in these phases, two heuristic algorithms based on the removing and insertion of operators are also proposed. The experimental results show that not only can purchasing under shared resources reduce the total cost by up to 29.11%, but it also decreases the number of dispatched vehicles in most instances.

Suggested Citation

  • Zahra Sadat Hasanpour Jesri & Kourosh Eshghi & Majid Rafiee & Tom Van Woensel, 2022. "The Multi-Depot Traveling Purchaser Problem with Shared Resources," Sustainability, MDPI, vol. 14(16), pages 1-26, August.
  • Handle: RePEc:gam:jsusta:v:14:y:2022:i:16:p:10190-:d:889903
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    References listed on IDEAS

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    1. Manerba, Daniele & Mansini, Renata & Riera-Ledesma, Jorge, 2017. "The Traveling Purchaser Problem and its variants," European Journal of Operational Research, Elsevier, vol. 259(1), pages 1-18.
    2. Paul Buijs & Jose Alejandro Lopez Alvarez & Marjolein Veenstra & Kees Jan Roodbergen, 2016. "Improved Collaborative Transport Planning at Dutch Logistics Service Provider Fritom," Interfaces, INFORMS, vol. 46(2), pages 119-132, April.
    3. Bianchessi, N. & Mansini, R. & Speranza, M.G., 2014. "The distance constrained multiple vehicle traveling purchaser problem," European Journal of Operational Research, Elsevier, vol. 235(1), pages 73-87.
    4. Sprenger, Ralf & Mönch, Lars, 2012. "A methodology to solve large-scale cooperative transportation planning problems," European Journal of Operational Research, Elsevier, vol. 223(3), pages 626-636.
    5. Fernández, Elena & Roca-Riu, Mireia & Speranza, M. Grazia, 2018. "The Shared Customer Collaboration Vehicle Routing Problem," European Journal of Operational Research, Elsevier, vol. 265(3), pages 1078-1093.
    6. Yong Wang & Jiayi Zhe & Xiuwen Wang & Yaoyao Sun & Haizhong Wang, 2022. "Collaborative Multidepot Vehicle Routing Problem with Dynamic Customer Demands and Time Windows," Sustainability, MDPI, vol. 14(11), pages 1-37, May.
    7. Defryn, Christof & Sörensen, Kenneth & Cornelissens, Trijntje, 2016. "The selective vehicle routing problem in a collaborative environment," European Journal of Operational Research, Elsevier, vol. 250(2), pages 400-411.
    8. Palomo-Martínez, Pamela J. & Salazar-Aguilar, M. Angélica, 2019. "The bi-objective traveling purchaser problem with deliveries," European Journal of Operational Research, Elsevier, vol. 273(2), pages 608-622.
    9. Gendreau, Michel & Manerba, Daniele & Mansini, Renata, 2016. "The multi-vehicle traveling purchaser problem with pairwise incompatibility constraints and unitary demands: A branch-and-price approach," European Journal of Operational Research, Elsevier, vol. 248(1), pages 59-71.
    10. Margaretha Gansterer & Richard F. Hartl, 2020. "Rejoinder on: Shared resources in collaborative vehicle routing," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 32-33, April.
    11. Jian Li & Yang Li & Panos M. Pardalos, 2016. "Multi-depot vehicle routing problem with time windows under shared depot resources," Journal of Combinatorial Optimization, Springer, vol. 31(2), pages 515-532, February.
    12. Zahra Hasanpour Jesri & Kourosh Eshghi, 2021. "The multi-vehicle travelling purchaser problem with priority in purchasing and uncertainty in demand," International Journal of Logistics Systems and Management, Inderscience Enterprises Ltd, vol. 39(3), pages 359-389.
    13. Lai, Minghui & Cai, Xiaoqiang & Hu, Qian, 2017. "An iterative auction for carrier collaboration in truckload pickup and delivery," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 107(C), pages 60-80.
    14. Tao Yang & Weixin Wang, 2022. "Logistics Network Distribution Optimization Based on Vehicle Sharing," Sustainability, MDPI, vol. 14(4), pages 1-12, February.
    15. Gansterer, Margaretha & Hartl, Richard F., 2018. "Collaborative vehicle routing: A survey," European Journal of Operational Research, Elsevier, vol. 268(1), pages 1-12.
    16. Margaretha Gansterer & Richard F. Hartl & Philipp E. H. Salzmann, 2018. "Exact solutions for the collaborative pickup and delivery problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(2), pages 357-371, June.
    17. Kang, Seungmo & Ouyang, Yanfeng, 2011. "The traveling purchaser problem with stochastic prices: Exact and approximate algorithms," European Journal of Operational Research, Elsevier, vol. 209(3), pages 265-272, March.
    18. Margaretha Gansterer & Richard F. Hartl, 2020. "Shared resources in collaborative vehicle routing," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 1-20, April.
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