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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

Listed:
  • 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. Fatemeh Keshavarz-Ghorbani & Seyed Hamid Reza Pasandideh, 2022. "Modeling and optimizing an agro-supply chain considering different quality grades and storage systems for fresh products: a Benders decomposition solution approach," Journal of Combinatorial Optimization, Springer, vol. 44(1), pages 21-50, August.
    2. Hongyong Fu & Kok Loy Teo & Yujie Li & Lei Wang, 2018. "Weather Risk–Reward Contract for Sustainable Agri-Food Supply Chain with Loss-Averse Farmer," Sustainability, MDPI, vol. 10(12), pages 1-25, December.
    3. Seyyed-Mahdi Hosseini-Motlagh & Mohammad Reza Ghatreh Samani & Firoozeh Abbasi Saadi, 2021. "Strategic optimization of wheat supply chain network under uncertainty: a real case study," Operational Research, Springer, vol. 21(3), pages 1487-1527, September.
    4. Amin Gharehyakheh & Caroline C. Krejci & Jaime Cantu & K. Jamie Rogers, 2020. "A Multi-Objective Model for Sustainable Perishable Food Distribution Considering the Impact of Temperature on Vehicle Emissions and Product Shelf Life," Sustainability, MDPI, vol. 12(16), pages 1-21, August.
    5. Lejarza, Fernando & Pistikopoulos, Ioannis & Baldea, Michael, 2021. "A scalable real-time solution strategy for supply chain management of fresh produce: A Mexico-to-United States cross border study," International Journal of Production Economics, Elsevier, vol. 240(C).
    6. 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.
    7. Mar Vazquez-Noguerol & Jose Comesaña-Benavides & Raul Poler & J. Carlos Prado-Prado, 2022. "An optimisation approach for the e-grocery order picking and delivery problem," 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. 30(3), pages 961-990, September.
    8. Fatemeh Keshavarz-Ghorbani & Seyed Hamid Reza Pasandideh, 2022. "A Lagrangian relaxation algorithm for optimizing a bi-objective agro-supply chain model considering CO2 emissions," Annals of Operations Research, Springer, vol. 314(2), pages 497-527, July.

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