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An exact algorithm for the inventory routing problem with logistic ratio

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  • Archetti, Claudia
  • Coelho, Leandro C.
  • Grazia Speranza, M.

Abstract

The Inventory Routing Problem with Logistic Ratio (IRPLR) is a variant of the classical IRP where, instead of the total distribution cost, the ratio between the total distribution cost and the total delivered quantity is minimized, giving rise to a fractional objective function. An exact algorithm is known, solving instances with up to 15 customers. We propose an iterative exact algorithm where, at each iteration, an IRP with a linear objective function is solved. Experiments show that the proposed algorithm is faster when the number of vehicles is small, solving instances with more customers and a longer planning horizon.

Suggested Citation

  • Archetti, Claudia & Coelho, Leandro C. & Grazia Speranza, M., 2019. "An exact algorithm for the inventory routing problem with logistic ratio," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 96-107.
    • Handle: RePEc:eee:transe:v:131:y:2019:i:c:p:96-107
    DOI: 10.1016/j.tre.2019.09.016
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    Cited by:

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    2. Yun He & Christian Artigues & Cyril Briand & Nicolas Jozefowiez & Sandra Ulrich Ngueveu, 2020. "A Matheuristic with Fixed-Sequence Reoptimization for a Real-Life Inventory Routing Problem," Transportation Science, INFORMS, vol. 54(2), pages 355-374, March.
    3. Guo, Yuhan & Yu, Junyu & Allaoui, Hamid & Choudhary, Alok, 2022. "Lateral collaboration with cost-sharing in sustainable supply chain optimisation: A combinatorial framework," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    4. 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).
    5. Frómeta Moya, Jorge Israel & Pérez Campos, Javier de Jesús, 2021. "Modelo heurístico híbrido para el ruteo vehicular y manejo de inventario en una entidad comercializadora de combustibles. || Hybrid heuristic model for inventory routing management in a fuel comercial," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 31(1), pages 363-383, June.
    6. Saijun Shao & Kin Keung Lai & Biyun Ge, 2023. "A multi-period inventory routing problem with procurement decisions: a case in China," Annals of Operations Research, Springer, vol. 324(1), pages 1527-1555, May.

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