Preprint Communication Version 1 Preserved in Portico This version is not peer-reviewed

Mathematical Modeling for Infinite and Finite Dimensional Production-Inventory Systems Subject to Demand Fluctuation

Yasser A. Davizón
* ,
Jesús Mateo Amillano-Cisneros
,
José Belisario Leyva Morales
,
Carlos Hernández-Santos
,
Eric D. Smith
,
Jaime Sánchez-Leal
,
Blasioz Valenzuela-Saquelarez
,
Elìas Olivares-Benítez
ORCID logo ,
Ricardo A. Ramírez-Mendoza
ORCID logo ,
Neale R. Smith
Version 1 : Received: 30 July 2023 / Approved: 31 July 2023 / Online: 1 August 2023 (02:47:13 CEST)

How to cite: Davizón, Y.A.; Amillano-Cisneros, J.M.; Leyva Morales, J.B.; Hernández-Santos, C.; Smith, E.D.; Sánchez-Leal, J.; Valenzuela-Saquelarez, B.; Olivares-Benítez, E.; Ramírez-Mendoza, R.A.; Smith, N.R. Mathematical Modeling for Infinite and Finite Dimensional Production-Inventory Systems Subject to Demand Fluctuation. Preprints 2023, 2023072127. https://doi.org/10.20944/preprints202307.2127.v1 Davizón, Y.A.; Amillano-Cisneros, J.M.; Leyva Morales, J.B.; Hernández-Santos, C.; Smith, E.D.; Sánchez-Leal, J.; Valenzuela-Saquelarez, B.; Olivares-Benítez, E.; Ramírez-Mendoza, R.A.; Smith, N.R. Mathematical Modeling for Infinite and Finite Dimensional Production-Inventory Systems Subject to Demand Fluctuation. Preprints 2023, 2023072127. https://doi.org/10.20944/preprints202307.2127.v1

Abstract

This research work aims to develop a mathematical modeling for production-inventory systems. Two mathematical models are present: An infinite dimensional, partial differential equation (PDE), production level modeling is present and a finite dimensional system for a coupled dynamic pricing, production rate and inventory level ordinary differential equations (ODE), integrating a proper Lyapunov stability analysis of the dynamical system and simulations.

Keywords

production-inventory system; lyapunov stability; infinite dimensional system; finite dimensional system

Subject

Engineering, Industrial and Manufacturing Engineering

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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