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Meta partial benders decomposition for the logistics service network design problem

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  • Belieres, Simon
  • Hewitt, Mike
  • Jozefowiez, Nicolas
  • Semet, Frédéric

Abstract

Supply chain transportation operations often account for a large proportion of product total cost to market. Such operations can be optimized by solving the Logistics Service Network Design Problem (LSNDP), wherein a logistics service provider seeks to cost-effectively source and fulfill customer demands of products within a multi-echelon distribution network. However, many industrial settings yield instances of the LSNDP that are too large to be solved in reasonable run-times by off-the-shelf optimization solvers. We introduce an exact Benders decomposition algorithm based on partial decompositions that strengthens the master problem with information derived from aggregated subproblem data. More specifically, the proposed Meta Partial Benders Decomposition intelligently switches from one master problem to another by changing both the amount of subproblem information to include in the master as well as how it is aggregated. Through an extensive computational study, we show that the approach outperforms existing benchmark methods and demonstrate the benefits of dynamically refining the master problem in the course of a partial Benders decomposition-based scheme.

Suggested Citation

  • Belieres, Simon & Hewitt, Mike & Jozefowiez, Nicolas & Semet, Frédéric, 2022. "Meta partial benders decomposition for the logistics service network design problem," European Journal of Operational Research, Elsevier, vol. 300(2), pages 473-489.
    • Handle: RePEc:eee:ejores:v:300:y:2022:i:2:p:473-489
    DOI: 10.1016/j.ejor.2021.07.056
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    1. 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.
    2. Gendron, Bernard & Scutellà, Maria Grazia & Garroppo, Rosario G. & Nencioni, Gianfranco & Tavanti, Luca, 2016. "A branch-and-Benders-cut method for nonlinear power design in green wireless local area networks," European Journal of Operational Research, Elsevier, vol. 255(1), pages 151-162.
    3. Belieres, Simon & Hewitt, Mike & Jozefowiez, Nicolas & Semet, Frédéric & Van Woensel, Tom, 2020. "A Benders decomposition-based approach for logistics service network design," European Journal of Operational Research, Elsevier, vol. 286(2), pages 523-537.
    4. Jean-François Cordeau & Goran Stojković & François Soumis & Jacques Desrosiers, 2001. "Benders Decomposition for Simultaneous Aircraft Routing and Crew Scheduling," Transportation Science, INFORMS, vol. 35(4), pages 375-388, November.
    5. T. L. Magnanti & R. T. Wong, 1981. "Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria," Operations Research, INFORMS, vol. 29(3), pages 464-484, June.
    6. Srivastava, Samir K., 2008. "Network design for reverse logistics," Omega, Elsevier, vol. 36(4), pages 535-548, August.
    7. Dufour, Émilie & Laporte, Gilbert & Paquette, Julie & Rancourt, Marie–Ève, 2018. "Logistics service network design for humanitarian response in East Africa," Omega, Elsevier, vol. 74(C), pages 1-14.
    8. Beamon, Benita M., 1998. "Supply chain design and analysis:: Models and methods," International Journal of Production Economics, Elsevier, vol. 55(3), pages 281-294, August.
    9. Belieres, Simon & Hewitt, Mike & Jozefowiez, Nicolas & Semet, Frédéric, 2021. "A time-expanded network reduction matheuristic for the logistics service network design problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 147(C).
    10. Crainic, Teodor Gabriel, 2000. "Service network design in freight transportation," European Journal of Operational Research, Elsevier, vol. 122(2), pages 272-288, April.
    11. Walter Rei & Jean-François Cordeau & Michel Gendreau & Patrick Soriano, 2009. "Accelerating Benders Decomposition by Local Branching," INFORMS Journal on Computing, INFORMS, vol. 21(2), pages 333-345, May.
    12. Marasco, Alessandra, 2008. "Third-party logistics: A literature review," International Journal of Production Economics, Elsevier, vol. 113(1), pages 127-147, May.
    13. Rahmaniani, Ragheb & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2017. "The Benders decomposition algorithm: A literature review," European Journal of Operational Research, Elsevier, vol. 259(3), pages 801-817.
    14. Melo, M.T. & Nickel, S. & Saldanha-da-Gama, F., 2009. "Facility location and supply chain management - A review," European Journal of Operational Research, Elsevier, vol. 196(2), pages 401-412, July.
    15. Teodor Gabriel Crainic & Mike Hewitt, 2021. "Service Network Design," Springer Books, in: Teodor Gabriel Crainic & Michel Gendreau & Bernard Gendron (ed.), Network Design with Applications to Transportation and Logistics, chapter 0, pages 347-382, Springer.
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