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Designing Distribution Networks: Formulations and Solution Heuristic

Author

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  • Sophie D. Lapierre

    (Department Mathématiques appliquées et génie industriel, École Polytechnique de Montréal, and Centre for Research on Transportation, Université de Montréal, Montréal, Québec, Canada)

  • Angel B. Ruiz

    (U.T. Compiègne, and Centre for Research on Transportation, Université de Montréal, Montréal, Québec, Canada)

  • Patrick Soriano

    (École des Hautes Études Commerciales, and Centre for Research on Transportation, Université de Montréal, Montréal, Québec, Canada)

Abstract

The fast development of transport activities and the introduction of shipment consolidation have considerably changed the logistics context over the last three decades. Consolidation terminals, also called transshipment centers (TC) or hubs, have justified their presence by improving the loading of trucks in terms of both volume and weight. In addition, the possibility of using external carriers, exclusively or in coordination with a private fleet, can reduce costs and increase customer service. The right combination of these strategies can dramatically impact the cost of transport. However, the complexity of the decisions has also increased and existing models have to be improved to tackle these new challenges. In this paper, after discussing the different formulations for distribution networks with transshipment centers existing in the literature, we present a new model and an efficient metaheuristic that determines the number and the location of TCs as well as the best transportation alternative—LTL, FTL, Parcel, or own fleet—on each segment accounting for both weight and volume metrics. The ability of our heuristic to solve this complex problem comes from a judicious combination of tabu search and variable neighborhood search. The performance of this approach is evaluated on several test data problems generated with real cost structures published by a U.S. carrier. The heuristic solutions are compared to optimal ones obtained by an exact method for small-sized instances of the simpler problems. Finally, we address issues in carrier price structure to achieve efficient shipment practices.

Suggested Citation

  • Sophie D. Lapierre & Angel B. Ruiz & Patrick Soriano, 2004. "Designing Distribution Networks: Formulations and Solution Heuristic," Transportation Science, INFORMS, vol. 38(2), pages 174-187, May.
  • Handle: RePEc:inm:ortrsc:v:38:y:2004:i:2:p:174-187
    DOI: 10.1287/trsc.1030.0064
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    References listed on IDEAS

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    2. Samir Elhedhli & Huyu Wu, 2010. "A Lagrangean Heuristic for Hub-and-Spoke System Design with Capacity Selection and Congestion," INFORMS Journal on Computing, INFORMS, vol. 22(2), pages 282-296, May.
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    4. Afaf Haial & Loubna Benabbou & Abdelaziz Berrado, 2021. "Designing a Transportation-Strategy Decision-Making Process for a Supply Chain: Case of a Pharmaceutical Supply Chain," IJERPH, MDPI, vol. 18(4), pages 1-29, February.
    5. Jean-François Cordeau & Federico Pasin & Marius Solomon, 2006. "An integrated model for logistics network design," Annals of Operations Research, Springer, vol. 144(1), pages 59-82, April.
    6. Christensen, Tue R.L. & Labbé, Martine, 2015. "A branch-cut-and-price algorithm for the piecewise linear transportation problem," European Journal of Operational Research, Elsevier, vol. 245(3), pages 645-655.
    7. Zhaofang Mao & Dian Huang & Kan Fang & Chengbo Wang & Dandan Lu, 2020. "Milk-run routing problem with progress-lane in the collection of automobile parts," Annals of Operations Research, Springer, vol. 291(1), pages 657-684, August.
    8. G. Guastaroba & M. G. Speranza & D. Vigo, 2016. "Intermediate Facilities in Freight Transportation Planning: A Survey," Transportation Science, INFORMS, vol. 50(3), pages 763-789, August.
    9. Sara Martins & Pedro Amorim & Bernardo Almada-Lobo, 2018. "Delivery mode planning for distribution to brick-and-mortar retail stores: discussion and literature review," Flexible Services and Manufacturing Journal, Springer, vol. 30(4), pages 785-812, December.
    10. Archetti, Claudia & Bertazzi, Luca & Grazia Speranza, M., 2014. "Polynomial cases of the economic lot sizing problem with cost discounts," European Journal of Operational Research, Elsevier, vol. 237(2), pages 519-527.
    11. Tue R. L. Christensen & Kim Allan Andersen & Andreas Klose, 2013. "Solving the Single-Sink, Fixed-Charge, Multiple-Choice Transportation Problem by Dynamic Programming," Transportation Science, INFORMS, vol. 47(3), pages 428-438, August.
    12. Ram Kumar P N, 2013. "On Modeling The Step Fixed-Charge Transportation Problem," Working papers 134, Indian Institute of Management Kozhikode.
    13. Archetti, Claudia & Peirano, Lorenzo, 2020. "Air intermodal freight transportation: The freight forwarder service problem," Omega, Elsevier, vol. 94(C).
    14. Nader Azizi & Navneet Vidyarthi & Satyaveer S. Chauhan, 2018. "Modelling and analysis of hub-and-spoke networks under stochastic demand and congestion," Annals of Operations Research, Springer, vol. 264(1), pages 1-40, May.
    15. Atefi, Reza & Salari, Majid & C. Coelho, Leandro & Renaud, Jacques, 2018. "The open vehicle routing problem with decoupling points," European Journal of Operational Research, Elsevier, vol. 265(1), pages 316-327.
    16. Nowak, Maciek & Hewitt, Mike & Bachour, Hussam, 2019. "Mileage bands in freight transportation," European Journal of Operational Research, Elsevier, vol. 272(2), pages 549-564.
    17. Haiqing Song & Vernon N. Hsu & Raymond K. Cheung, 2008. "Distribution Coordination Between Suppliers and Customers with a Consolidation Center," Operations Research, INFORMS, vol. 56(5), pages 1264-1277, October.
    18. Renaud Masson & Fabien Lehuédé & Olivier Péton, 2013. "An Adaptive Large Neighborhood Search for the Pickup and Delivery Problem with Transfers," Transportation Science, INFORMS, vol. 47(3), pages 344-355, August.
    19. Dellbrügge, Marius & Brilka, Tim & Kreuz, Felix & Clausen, Uwe, 2022. "Auction design in strategic freight procurement," Chapters from the Proceedings of the Hamburg International Conference of Logistics (HICL), in: Kersten, Wolfgang & Jahn, Carlos & Blecker, Thorsten & Ringle, Christian M. (ed.), Changing Tides: The New Role of Resilience and Sustainability in Logistics and Supply Chain Management – Innovative Approaches for the Shift to a New , volume 33, pages 295-325, Hamburg University of Technology (TUHH), Institute of Business Logistics and General Management.
    20. C. Y. Lam, 2021. "Optimizing logistics routings in a network perspective of supply and demand nodes," 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. 29(1), pages 357-377, March.
    21. Pierre Hansen & Nenad Mladenović & José Moreno Pérez, 2010. "Variable neighbourhood search: methods and applications," Annals of Operations Research, Springer, vol. 175(1), pages 367-407, March.
    22. Cordeau, Jean-François & Laporte, Gilbert & Pasin, Federico, 2008. "An iterated local search heuristic for the logistics network design problem with single assignment," International Journal of Production Economics, Elsevier, vol. 113(2), pages 626-640, June.
    23. Hewitt, Mike & Lehuédé, Fabien, 2023. "New formulations for the Scheduled Service Network Design Problem," Transportation Research Part B: Methodological, Elsevier, vol. 172(C), pages 117-133.

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