Abstract
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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