Mathematical Modeling for Infinite and Finite Dimensional Production-Inventory Systems Subject to Demand Fluctuation
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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.
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- europepmc
- last seen: 2026-05-19T01:45:01.086888+00:00