Dynamic Optimization of a Supply Chain Operation Model with Multiple Products

Carlos E. Lopez-Landeros, Ricardo Valenzuela-Gonzalez and Elias Olivares-Benitez ()
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Carlos E. Lopez-Landeros: Universidad Panamericana, Facultad de Ingenieria, Jose Maria Escriva de Balaguer 101, Villas Bonaterra, Aguascalientes 20296, 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

Mathematics, 2024, vol. 12, issue 15, 1-23

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.

Keywords: automotive supply chain; decision-making process; optimal control; production-inventory problem; Iterative Dynamic Programming (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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