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Energy-efficient optimization of multi-echelon inventory systems

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  • Nguyen, Hong-Nguyen
  • Godichaud, Matthieu
  • Amodeo, Lionel

Abstract

Efficient energy management in the cold supply chain is crucial for reducing costs and environmental impact. This study presents an integrated distribution inventory system that focuses on energy considerations throughout the supply chain. The model incorporates energy usage from production, warehousing, and transportation processes into the average total cost of the system, providing a comprehensive analysis of energy cost components. By considering various factors such as production rate, ordering policy, warehouse filling level, and truck types, the model offers insights into the energy efficiency of the system. The model is formulated as a mixed-integer nonlinear programming (MINLP) problem. To solve this problem, a heuristic algorithm is proposed, aiming to optimize the total cost, including energy costs, while providing near-optimal decision variables. A study based on a real-world company serves as a practical illustration of the model’s effectiveness. A comparison between the integrated inventory system and a non-inventory system reveals significant reductions in energy consumption for warehousing (23.85%) and the overall system costs (2.74%). After testing four groups of datasets, the proposed heuristic algorithm outperforms the LINGO solver in terms of cost minimization (for the first two groups) and computational time, validating its efficiency. Sensitivity analyses are performed to assess the impact of key parameters such as energy unit costs, distance, transportation speed, and demand on energy costs and system performance. These analyses provide valuable insights for decision-makers, supporting informed decision-making and the identification of practical strategies for optimizing energy usage.

Suggested Citation

  • Nguyen, Hong-Nguyen & Godichaud, Matthieu & Amodeo, Lionel, 2025. "Energy-efficient optimization of multi-echelon inventory systems," International Journal of Production Economics, Elsevier, vol. 285(C).
    • Handle: RePEc:eee:proeco:v:285:y:2025:i:c:s092552732500129x
    DOI: 10.1016/j.ijpe.2025.109644
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    References listed on IDEAS

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    1. Nidhi Handa & S. R. Singh & Neha Punetha, 2022. "Impact of carbon emission in two-echelon supply chain inventory decision with controllable deterioration and two-level trade-credit period," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1555-1586, December.
    2. Liu, Aijun & Zhu, Qiuyun & Xu, Lei & Lu, Qiang & Fan, Youqing, 2021. "Sustainable supply chain management for perishable products in emerging markets: An integrated location-inventory-routing model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 150(C).
    3. Daryanto, Yosef & Wee, Hui Ming & Astanti, Ririn Diar, 2019. "Three-echelon supply chain model considering carbon emission and item deterioration," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 368-383.
    4. Beatrice Marchi & Simone Zanoni & Mohamad Y. Jaber, 2020. "Energy Implications of Lot Sizing Decisions in Refrigerated Warehouses," Energies, MDPI, vol. 13(7), pages 1-13, April.
    5. Abdul-Jalbar, Beatriz & Gutiérrez, Jose M. & Sicilia, Joaquín, 2006. "Single cycle policies for the one-warehouse N-retailer inventory/distribution system," Omega, Elsevier, vol. 34(2), pages 196-208, April.
    6. Bozorgi, Ali & Pazour, Jennifer & Nazzal, Dima, 2014. "A new inventory model for cold items that considers costs and emissions," International Journal of Production Economics, Elsevier, vol. 155(C), pages 114-125.
    7. Bektas, Tolga & Laporte, Gilbert, 2011. "The Pollution-Routing Problem," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1232-1250, September.
    8. Glock, C. H. & Kim, T., 2012. "A joint economic lot sizemodel with returnable transport items," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 59079, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    9. Glock, Christoph H. & Grosse, Eric H., 2021. "The impact of controllable production rates on the performance of inventory systems: A systematic review of the literature," European Journal of Operational Research, Elsevier, vol. 288(3), pages 703-720.
    10. Marchi, B. & Zanoni, S. & Zavanella, L.E. & Jaber, M.Y., 2019. "Supply chain models with greenhouse gases emissions, energy usage, imperfect process under different coordination decisions," International Journal of Production Economics, Elsevier, vol. 211(C), pages 145-153.
    11. Fichtinger, Johannes & Ries, Jörg M. & Grosse, Eric H. & Baker, Peter, 2015. "Assessing the environmental impact of integrated inventory and warehouse management," International Journal of Production Economics, Elsevier, vol. 170(PC), pages 717-729.
    12. Wakhid Ahmad Jauhari & Ivan Darma Wangsa & Hawa Hishamuddin & Novrianty Rizky, 2023. "A sustainable vendor-buyer inventory model with incentives, green investment and energy usage under stochastic demand," Cogent Business & Management, Taylor & Francis Journals, vol. 10(1), pages 2158609-215, December.
    13. Priyanka & Sarla Pareek, 2023. "A sustainable inventory model for stochastic demand using innovative multi-item production system with reduced failure rate," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(3), pages 844-864, June.
    14. Beatrice Marchi & Simone Zanoni, 2022. "Cold Chain Energy Analysis for Sustainable Food and Beverage Supply," Sustainability, MDPI, vol. 14(18), pages 1-16, September.
    15. Glock, C. H. & Jaber, M. Y. & El Saadany, A., 2013. "Supply Chain Coordination with Emission Reduction Incentives," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57672, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    16. Zanoni, S. & Bettoni, L. & Glock, C. H., 2014. "Energy Implications in a Two-Stage Production System with Controllable Production Rates," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 62117, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    17. Abu Hashan Md Mashud & Dipa Roy & Yosef Daryanto & Mohd Helmi Ali, 2020. "A Sustainable Inventory Model with Imperfect Products, Deterioration, and Controllable Emissions," Mathematics, MDPI, vol. 8(11), pages 1-21, November.
    18. Biel, K. & Glock, C. H., 2016. "Systematic literature review of decision support models for energy-efficient production planning," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 83071, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    19. Lucio Enrico Zavanella & Beatrice Marchi & Simone Zanoni & Ivan Ferretti, 2019. "Energy considerations for the economic production quantity and the joint economic lot sizing," Journal of Business Economics, Springer, vol. 89(7), pages 845-865, September.
    20. Fichtinger, J. & Ries, J. M. & Grosse, E. H. & Baker, P., 2015. "Assessing the environmental impact of integrated inventory and warehouse management," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 74211, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    21. Bozorgi, Ali, 2016. "Multi-product inventory model for cold items with cost and emission consideration," International Journal of Production Economics, Elsevier, vol. 176(C), pages 123-142.
    22. Zanoni, Simone & Bettoni, Laura & Glock, Christoph H., 2014. "Energy implications in a two-stage production system with controllable production rates," International Journal of Production Economics, Elsevier, vol. 149(C), pages 164-171.
    23. Glock, C. H., 2012. "The joint economic lot size problem: a review," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57811, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    24. Glock, Christoph H., 2012. "The joint economic lot size problem: A review," International Journal of Production Economics, Elsevier, vol. 135(2), pages 671-686.
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