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Min–Max exact and heuristic policies for a two-echelon supply chain with inventory and transportation procurement decisions

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  • Bertazzi, Luca
  • Bosco, Adamo
  • Laganà, Demetrio

Abstract

We study the problem in which one supplier delivers a product to a set of retailers over time by using an outsourced fleet of vehicles. Since the probability distribution of the demand is not known, we provide a Min–Max approach to find robust policies. We show that the optimal Min-Expected Value policy can be very poor in the worst case. We provide a Min–Max Dynamic Programming formulation that allows us to exactly solve the problem in small instances. Finally, we implement a Min–Max Matheuristic to solve benchmark instances and show that it is very effective.

Suggested Citation

  • Bertazzi, Luca & Bosco, Adamo & Laganà, Demetrio, 2016. "Min–Max exact and heuristic policies for a two-echelon supply chain with inventory and transportation procurement decisions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 93(C), pages 57-70.
    • Handle: RePEc:eee:transe:v:93:y:2016:i:c:p:57-70
    DOI: 10.1016/j.tre.2016.05.008
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    Cited by:

    1. de Kok, Ton & Grob, Christopher & Laumanns, Marco & Minner, Stefan & Rambau, Jörg & Schade, Konrad, 2018. "A typology and literature review on stochastic multi-echelon inventory models," European Journal of Operational Research, Elsevier, vol. 269(3), pages 955-983.
    2. Bertazzi, Luca & Coelho, Leandro C. & De Maio, Annarita & Laganà, Demetrio, 2019. "A matheuristic algorithm for the multi-depot inventory routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 524-544.
    3. Coelho, Leandro Callegari & De Maio, Annarita & Laganà, Demetrio, 2020. "A variable MIP neighborhood descent for the multi-attribute inventory routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).
    4. Ke, Ginger Y. & Bookbinder, James H., 2018. "Coordinating the discount policies for retailer, wholesaler, and less-than-truckload carrier under price-sensitive demand: A tri-level optimization approach," International Journal of Production Economics, Elsevier, vol. 196(C), pages 82-100.
    5. Bertazzi, Luca & Chua, Geoffrey A. & Laganà, Demetrio & Paradiso, Rosario, 2022. "Analysis of effective sets of routes for the split-delivery periodic inventory routing problem," European Journal of Operational Research, Elsevier, vol. 298(2), pages 463-477.
    6. Kapustina Larisa M. & Chovancová Mária & Klapita Vladimír, 2017. "Application of Specific Theory of Constraints Technique for the Identification of Main Causes of Negative Consequences within Procurement Logistics," LOGI – Scientific Journal on Transport and Logistics, Sciendo, vol. 8(1), pages 56-63, May.

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