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Dynamic Optimization of a Supply Chain Operation Model with Multiple Products

Author

Listed:
  • Carlos E. Lopez-Landeros

    (Universidad Panamericana, Facultad de Ingenieria, Jose Maria Escriva de Balaguer 101, Villas Bonaterra, Aguascalientes 20296, Mexico
    Tecnologico Nacional de Mexico/Aguascalientes, Departamento de Ciencias Basicas, Adolfo Lopez Mateos 1801 Ote., Bonagens, Aguascalientes 20196, Mexico)

  • Ricardo Valenzuela-Gonzalez

    (Universidad Panamericana, Facultad de Ingenieria, Jose Maria Escriva de Balaguer 101, Villas Bonaterra, Aguascalientes 20296, Mexico)

  • Elias Olivares-Benitez

    (Universidad Panamericana, Facultad de Ingenieria, Alvaro del Portillo 49, Zapopan 45010, Mexico)

Abstract

Determination of the optimal operational policy for an automotive supply chain is explored under a centralized management approach using dynamic programming. A deterministic optimal control model is proposed to meet multi-product demand over a period while minimizing a cost performance index for a five-echelon network. The production-inventory levels are the state variables and the raw material acquisition rates are the control variables to be decided in the problem. The novelties include parts mixing operations, assembly requirements, and a push–pull chain operation strategy. The continuous model is solved using Iterative Dynamic Programming, an algorithm with successful applications in chemical engineering problems. Its implementation here is the first in supply chain (SC) management models. The results demonstrate that the proposal is suitable to represent the dynamic behavior of the SC and provides useful information to outline a cooperative decision-making process. Managerial insights are derived to improve the resilience and efficiency of the chain.

Suggested Citation

  • Carlos E. Lopez-Landeros & Ricardo Valenzuela-Gonzalez & Elias Olivares-Benitez, 2024. "Dynamic Optimization of a Supply Chain Operation Model with Multiple Products," Mathematics, MDPI, vol. 12(15), pages 1-23, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:15:p:2420-:d:1449551
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    References listed on IDEAS

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    1. Geary, S. & Disney, S.M. & Towill, D.R., 2006. "On bullwhip in supply chains--historical review, present practice and expected future impact," International Journal of Production Economics, Elsevier, vol. 101(1), pages 2-18, May.
    2. Alireza Khamseh & Ebrahim Teimoury & Kamran Shahanaghi, 2021. "A new dynamic optimisation model for operational supply chain recovery," International Journal of Production Research, Taylor & Francis Journals, vol. 59(24), pages 7441-7456, December.
    3. Bariş Tan, 2015. "Mathematical programming representations of the dynamics of continuous-flow production systems," IISE Transactions, Taylor & Francis Journals, vol. 47(2), pages 173-189, February.
    4. Xiaoyu Yu & Jingyi Qian & Yajing Zhang & Min Kong, 2023. "Supply Chain Scheduling Method for the Coordination of Agile Production and Port Delivery Operation," Mathematics, MDPI, vol. 11(15), pages 1-24, July.
    5. Alexandre Dolgui & Dmitry Ivanov, 2021. "Ripple effect and supply chain disruption management: new trends and research directions," International Journal of Production Research, Taylor & Francis Journals, vol. 59(1), pages 102-109, January.
    6. Sagawa, Juliana Keiko & Nagano, Marcelo Seido, 2015. "Modeling the dynamics of a multi-product manufacturing system: A real case application," European Journal of Operational Research, Elsevier, vol. 244(2), pages 624-636.
    7. Miragliotta, Giovanni, 2006. "Layers and mechanisms: A new taxonomy for the Bullwhip Effect," International Journal of Production Economics, Elsevier, vol. 104(2), pages 365-381, December.
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