Developing A Sustainable Supply Chain Model Considering Uncertain Conditions in the Dairy Industry

Authors

  • Samane Ghadamyari * Department of Industrial Engineering, Khajeh Nasiruddin Toosi University of Technology, Tehran, Iran.
  • Mahdi Yousefi Nejad Attari Department of Industrial Engineering, Bonab Branch, Islamic Azad University, Bonab, Iran.

https://doi.org/10.48313/scodm.vi.60

Abstract

A large volume of food and perishable products is transferred daily from suppliers to manufacturers and eventually to retailers in the supply chain. Due to the perishable nature of these products and the associated storage limitations, production and transportation costs fluctuate, causing significant environmental impacts. Sustainability and uncertainty issues in perishable products require further research. This study presents a mathematical model for managing a multi-period, multi-product sustainable supply chain in the dairy industry, considering uncertainty. A mixed-integer nonlinear programming model is developed to optimize total supply chain costs, with a focus on the reuse of recovered products. The model is solved using a scenario-based stochastic programming approach and the Mulvey method, which accounts for uncertainties in demand parameters. The results indicate the proposed model performs effectively, providing high-quality solutions within a reasonable timeframe. These findings offer a valuable tool for decision-making aimed at reducing costs and minimizing negative environmental and social impacts through product recovery and reuse.

Keywords:

Perishable products, Uncertainty, Sustainable supply chain, Robust optimization, Stochastic optimization, VSS and EVPI indices

References

  1. [1] Eskandarpour, M., Dejax, P., Miemczyk, J., & Péton, O. (2015). Sustainable supply chain network design: An optimization-oriented review. Omega, 54, 11–32. https://doi.org/10.1016/j.omega.2015.01.006
  2. [2] Bortolini, M., Faccio, M., Ferrari, E., Gamberi, M., & Pilati, F. (2016). Fresh food sustainable distribution: cost, delivery time and carbon footprint three-objective optimization. Journal of food engineering, 174, 56–67. https://doi.org/10.1016/j.jfoodeng.2015.11.014
  3. [3] Mulvey, J. M., Vanderbei, R. J., & Zenios, S. A. (1995). Robust optimization of large-scale systems. Operations research, 43(2), 264–281. https://doi.org/10.1287/opre.43.2.264
  4. [4] Chopra, S., & Meindl, P. (2019). Supply chain management. Strategy, planning & operation. In Das summa summarum des management: die 25 wichtigsten werke für strategie, führung und veränderung (pp. 265–275). Springer. https://doi.org/10.1007/978-3-8349-9320-5_22
  5. [5] Ahumada, O., & Villalobos, J. R. (2009). Application of planning models in the agri-food supply chain: A review. European journal of operational research, 196(1), 1–20. https://doi.org/10.1016/j.ejor.2008.02.014
  6. [6] ISO. (2011). Environmental management-material flow cost accounting-general framework. https://www.iso.org/standard/50986.html
  7. [7] Nahmias, S. (1982). Perishable inventory theory: A review. Operations research, 30(4), 680–708. https://doi.org/10.1287/opre.30.4.680
  8. [8] Govindan, K., Soleimani, H., & Kannan, D. (2015). Reverse logistics and closed-loop supply chain: A comprehensive review to explore the future. European journal of operational research, 240(3), 603–626. https://doi.org/10.1016/j.ejor.2014.07.012
  9. [9] Melkote, S., & Daskin, M. S. (2001). Capacitated facility location/network design problems. European journal of operational research, 129(3), 481–495. https://doi.org/10.1016/S0377-2217(99)00464-6
  10. [10] Leung, S. C. H., Tsang, S. O. S., Ng, W.-L., & Wu, Y. (2007). A robust optimization model for multi-site production planning problem in an uncertain environment. European journal of operational research, 181(1), 224–238. https://doi.org/10.1016/j.ejor.2006.06.011
  11. [11] Lee, H. L., & Billington, C. (1993). Material management in decentralized supply chains. Operations research, 41(5), 835–847. https://doi.org/10.1287/opre.41.5.835
  12. [12] Alshamsi, A., & Diabat, A. (2015). A reverse logistics network design. Journal of manufacturing systems, 37, 589–598. https://doi.org/10.1016/j.jmsy.2015.02.006
  13. [13] Wolsey, L. (1998). Integer Programming. Wiley-Interscience. https://books.google.com/books?hl=en&lr=&id=knH8DwAAQBAJ&oi=fnd&pg
  14. [14] Bertsimas, D., & Tsitsiklis, J. N. (1997). Introduction to linear optimization (Vol. 6). Athena scientific Belmont, MA. https://www.researchgate.net/publication/235558951_Introduction_to_Linear_Optimization
  15. [15] Stadtler, H., Stadtler, H., Kilger, C., Kilger, C., Meyr, H., & Meyr, H. (2015). Supply chain management and advanced planning: Concepts, models, software, and case studies. Springer. https://doi.org/10.1007/978-3-540-74512-9
  16. [16] Thierry, M., Salomon, M., Van Nunen, J., & Van Wassenhove, L. (1995). Strategic issues in product recovery management. California management review, 37(2), 114–136. https://doi.org/10.2307/41165792
  17. [17] Birge, J. R. (1982). The value of the stochastic solution in stochastic linear programs with fixed recourse. Mathematical programming, 24(1), 314–325. https://doi.org/10.1007/BF01585113%0A%0A
  18. [18] Fleischmann, M., Bloemhof-Ruwaard, J. M., Dekker, R., der Laan, E., Van Nunen, J. A. E. E., & Van Wassenhove, L. N. (1997). Quantitative models for reverse logistics: A review. European journal of operational research, 103(1), 1–17. https://doi.org/10.1016/S0377-2217(97)00230-0
  19. [19] Geoffrion, A. M. (1972). Generalized benders decomposition. Journal of optimization theory and applications, 10(4), 237–260. https://doi.org/10.1007/BF00934810%0A%0A

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Published

2026-08-02

Issue

Vol. 3 No. 3 (2026): Supply Chain and Operations Decision Making

Section

Articles

How to Cite

Ghadamyari , S., & Yousefi Nejad Attari, M. . (2026). Developing A Sustainable Supply Chain Model Considering Uncertain Conditions in the Dairy Industry. Supply Chain and Operations Decision Making, 3(3), 178-189. https://doi.org/10.48313/scodm.vi.60

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