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A milk collection problem with blending

Author

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  • Paredes-Belmar, Germán
  • Marianov, Vladimir
  • Bronfman, Andrés
  • Obreque, Carlos
  • Lüer-Villagra, Armin

Abstract

A milk collection problem with blending is introduced. A firm collects milk from farms, and each farm produces one out of three possible qualities of milk. The revenue increases with quality, and there is a minimum requirement at the plant for each quality. Different qualities of milk can be blended in the trucks, reducing revenues, but also transportation costs, resulting in higher profit. A mixed integer-programming model, a new cut, and a branch-and-cut algorithm are proposed to solve medium-sized instances. A three-stage heuristic is designed for large instances. Computational experience for test instances and a large-sized real case is presented.

Suggested Citation

  • Paredes-Belmar, Germán & Marianov, Vladimir & Bronfman, Andrés & Obreque, Carlos & Lüer-Villagra, Armin, 2016. "A milk collection problem with blending," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 94(C), pages 26-43.
    • Handle: RePEc:eee:transe:v:94:y:2016:i:c:p:26-43
    DOI: 10.1016/j.tre.2016.07.006
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    Cited by:

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    3. Miranda, Pablo A. & Blazquez, Carola A. & Obreque, Carlos & Maturana-Ross, Javier & Gutierrez-Jarpa, Gabriel, 2018. "The bi-objective insular traveling salesman problem with maritime and ground transportation costs," European Journal of Operational Research, Elsevier, vol. 271(3), pages 1014-1036.
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    5. Olcay Polat & Duygu Topaloğlu, 2022. "Collection of different types of milk with multi-tank tankers under uncertainty: a real case study," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 1-33, April.
    6. Zhang, Ruijuan & Dai, Ying & Yang, Fei & Ma, Zujun, 2024. "A cooperative vehicle routing problem with delivery options for simultaneous pickup and delivery services in rural areas," Socio-Economic Planning Sciences, Elsevier, vol. 93(C).
    7. Benhamou, Latifa & Giard, Vincent & Khouloud, Mehdi & Fenies, Pierres & Fontane, Frédéric, 2020. "Reverse Blending: An economically efficient approach to the challenge of fertilizer mass customization," International Journal of Production Economics, Elsevier, vol. 226(C).
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    9. Hiba Yahyaoui & Islem Kaabachi & Saoussen Krichen & Abdulkader Dekdouk, 2020. "Two metaheuristic approaches for solving the multi-compartment vehicle routing problem," Operational Research, Springer, vol. 20(4), pages 2085-2108, December.

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