Mathematical Methods for Inventory Management in Dynamic Supply Chains

This research communication aims to present three mathematical methods for analyzing inventory management in dynamic supply chains, starting from the basic definition in differential equations for inventory levels, which relates with production and demand rates. Initially, the study adopts a systemic perspective to examine the role of energy within a production–inventory system. Subsequently, the analysis focuses on inventory dynamics under parameters expressed in complex variables, with the aim of quantifying fluctuations in a generic production system and demonstrating the influence of inventory variation rates on system behavior. Finally, the investigation addresses the impact of variable capacity on production system inventories, drawing on analogies with corresponding physical systems to support the analysis.

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Publication Details

Journal
Systems
Published
2025-10-17
DOI
https://doi.org/10.3390/systems13100909
Citations
2
Primary Topic
Supply Chain and Inventory Management
Type
article
Field-Weighted Citation Impact
4.57
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article

Mathematical Methods for Inventory Management in Dynamic Supply Chains

Amadeo Hernández, Carlos Hernández-Santos, Yasser A. Davizón, Roxana Garcia-Andrade et al.
2 citations
Systems
Supply Chain and Inventory Management
4.57
article

Mathematical Methods for Inventory Management in Dynamic Supply Chains

Amadeo Hernández, Carlos Hernández-Santos, Yasser A. Davizón, Roxana Garcia-Andrade, Ernesto J. Rincón, Ana Cecilia Piñón Reyes, Eric Smith, Arnoldo Fernandez-Ramirez, Nain de la Cruz, Francisco Fabián Tobías-Macías
article en
2 citations

Abstract

This research communication aims to present three mathematical methods for analyzing inventory management in dynamic supply chains, starting from the basic definition in differential equations for inventory levels, which relates with production and demand rates. Initially, the study adopts a systemic perspective to examine the role of energy within a production–inventory system. Subsequently, the analysis focuses on inventory dynamics under parameters expressed in complex variables, with the aim of quantifying fluctuations in a generic production system and demonstrating the influence of inventory variation rates on system behavior. Finally, the investigation addresses the impact of variable capacity on production system inventories, drawing on analogies with corresponding physical systems to support the analysis.

SystemsVol. 13(10)
The University of Texas at El Paso (US), Mexican Geological Survey (MX), Universidad Autónoma de Occidente (MX), Instituto Tecnológico de León (MX), Centro de Investigación en Materiales Avanzados (MX), Universidad Autónoma de Piedras Negras (MX), Instituto Politécnico Nacional (MX)
Openalex Percentile: Top 5%
Supply Chain and Inventory Management
4.57
DOIOpen Access PDFOpenAlex
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Mathematical Methods for Inventory Management in Dynamic Supply Chains — Amadeo Hernández, Carlos Hernández-Santos, et al. · Systems (2025) | TGRS Research Map | TGRS