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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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    3. 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.
    4. Fokkema, Jan Eise & Land, Martin J. & Coelho, Leandro C. & Wortmann, Hans & Huitema, George B., 2020. "A continuous-time supply-driven inventory-constrained routing problem," Omega, Elsevier, vol. 92(C).
    5. 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.
    6. 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).

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