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A Benders’ decomposition algorithm for optimizing distribution of perishable products considering postharvest biological behavior in agri-food supply chain: a case study of tomato

Author

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  • V. R. Ghezavati

    (Islamic Azad University)

  • S. Hooshyar

    (Islamic Azad University)

  • R. Tavakkoli-Moghaddam

    (University of Tehran
    Research Center for Organizational Processes Improvement)

Abstract

This paper presents a periodical planning mathematical model for distribution of fresh agri-food (a case study of tomato) after qualitative segregating. The main objective of the model is to maximize the profit of a distributor that has relative control on logistics decisions associated with distribution of fresh products in a agri-food supply chain. In a real world, there are some differences between suitable qualities of each customer and thus, fair pricing is determined by their level of satisfaction. Simultaneously, this model takes into account freshness and ripeness as for the food grade. For estimation of the ripeness, a formulation is used that is related to postharvest biological behavior of the fresh crops. In turn, quality loss functions for quantification of degrading are designed to accommodate fair pricing. In addition, potential warehouses are considered in this model to achieve suitable maturity and service level. This paper presents a mixed integer programming model according to the problem descriptions. Since the model is hard to be solved for large scale problems, a primal decomposition solution procedure is proposed based on Benders’ decomposition method. Meanwhile, performance of the proposed solution method will be evaluated through some test problems. Finally, the model is validated through decision making for a domestic distributor of fresh tomato in Iran.

Suggested Citation

  • V. R. Ghezavati & S. Hooshyar & R. Tavakkoli-Moghaddam, 2017. "A Benders’ decomposition algorithm for optimizing distribution of perishable products considering postharvest biological behavior in agri-food supply chain: a case study of tomato," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(1), pages 29-54, March.
  • Handle: RePEc:spr:cejnor:v:25:y:2017:i:1:d:10.1007_s10100-015-0418-3
    DOI: 10.1007/s10100-015-0418-3
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    1. Amorim, P. & Günther, H.-O. & Almada-Lobo, B., 2012. "Multi-objective integrated production and distribution planning of perishable products," International Journal of Production Economics, Elsevier, vol. 138(1), pages 89-101.
    2. Arthur M. Geoffrion & Richard F. Powers, 1995. "Twenty Years of Strategic Distribution System Design: An Evolutionary Perspective," Interfaces, INFORMS, vol. 25(5), pages 105-127, October.
    3. Tijskens, L. M. M. & Polderdijk, J. J., 1996. "A generic model for keeping quality of vegetable produce during storage and distribution," Agricultural Systems, Elsevier, vol. 51(4), pages 431-452, August.
    4. Rong, Aiying & Akkerman, Renzo & Grunow, Martin, 2011. "An optimization approach for managing fresh food quality throughout the supply chain," International Journal of Production Economics, Elsevier, vol. 131(1), pages 421-429, May.
    5. Ahumada, Omar & Villalobos, J. Rene, 2009. "Application of planning models in the agri-food supply chain: A review," European Journal of Operational Research, Elsevier, vol. 196(1), pages 1-20, July.
    6. Widodo, K.H. & Nagasawa, H. & Morizawa, K. & Ota, M., 2006. "A periodical flowering-harvesting model for delivering agricultural fresh products," European Journal of Operational Research, Elsevier, vol. 170(1), pages 24-43, April.
    7. Ferrer, Juan-Carlos & Mac Cawley, Alejandro & Maturana, Sergio & Toloza, Sergio & Vera, Jorge, 2008. "An optimization approach for scheduling wine grape harvest operations," International Journal of Production Economics, Elsevier, vol. 112(2), pages 985-999, April.
    8. Dmitry Ivanov & Boris Sokolov & Joachim Kaeschel, 2011. "Integrated supply chain planning based on a combined application of operations research and optimal control," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(3), pages 299-317, September.
    9. Calvin, Linda & Cook, Roberta L. & Denbaly, Mark & Dimitri, Carolyn & Glaser, Lewrene K. & Handy, Charles R. & Jekanowski, Mark D. & Kaufman, Phillip R. & Krissoff, Barry & Thompson, Gary D. & Thornsb, 2001. "U.S. Fresh Fruit and Vegetable Marketing: Emerging Trade Practices, Trends, and Issues," Agricultural Economic Reports 33915, United States Department of Agriculture, Economic Research Service.
    10. Timothy J. Lowe & Paul V. Preckel, 2004. "Decision Technologies for Agribusiness Problems: A Brief Review of Selected Literature and a Call for Research," Manufacturing & Service Operations Management, INFORMS, vol. 6(3), pages 201-208.
    11. Tan, Barış & Çömden, Nihan, 2012. "Agricultural planning of annual plants under demand, maturation, harvest, and yield risk," European Journal of Operational Research, Elsevier, vol. 220(2), pages 539-549.
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    Cited by:

    1. Henryk Gurgul & Łukasz Lach, 2019. "On approximating the accelerator part in dynamic input–output models," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(1), pages 219-239, March.

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