STABILITY ANALYSIS FOR A CLASS OF PRODUCTION-INVENTORY SYSTEM SUBJECT TO REMANUFACTURING

YASSER DAVIZON CASTILLO; HEIDI TABOADA JIMENEZ; CARLOS HERNANDEZ  SANTOS; ALEJANDRO RODRIGUEZ SAID; LUIS ALFREDO GALLARDO MILLAN; HENRI MARQUEZ PACHECO; ABRAHAM HI RIVERA

doi:https://doi.org/10.6036/10605

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STABILITY ANALYSIS FOR A CLASS OF PRODUCTION-INVENTORY SYSTEM SUBJECT TO REMANUFACTURING

SEPTEMBER 2022 - Volume: 97 - Pages: 464

DOI:

https://doi.org/10.6036/10605

Authors:

YASSER DAVIZON CASTILLO - HEIDI TABOADA JIMENEZ - CARLOS HERNANDEZ SANTOS - ALEJANDRO RODRIGUEZ SAID - LUIS ALFREDO GALLARDO MILLAN - HENRI MARQUEZ PACHECO - ABRAHAM HI RIVERA

Disciplines:

Organization and management of enterprises (ORGANIZACIÓN DE LA PRODUCCIÓN )

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Key words:: Mathematical modeling, Optimal control, Production-inventory systems, Resilience, Sustainability, Modelización matemática, Control óptimo, Sistemas de producción-inventario, Resiliencia, Sostenibilidad.
Article type:: NOTA TECNICA / TECHNICAL NOTE
Section:: TECHNICAL NOTE

This research work presents an optimal control approach for a class of sustainable production-inventory system (PI). Modeling, analysis, and control for a PI system are present. For systems modeling purposes, a mixed capacity/third order PI is to analyze, dynamic approaches for production-inventory systems which are valuable in order to maximize profits and minimize costs over the PI. Optimality, robustness, and stability are the top-level characteristics which encompass a suitable control. Optimal control formulation is conducted via Pontryagin maximum principle, with a present value-Hamiltonian approach (PVH)

Keywords: Mathematical modeling, Optimal control, Production-inventory systems, Resilience, Sustainability.

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