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Inventory-Production Control Systems with Gumbel Distributed Deterioration

Md. Azizul Baten, Anton Abdulbasah Kamil, Habibah Lateh, Yunus Ahmed Khan


Gumbel distributed deterioration items with applications to optimal control theory. We successfully formulated the model as a linear optimal control problem and obtained an explicit solution using Pontryagin maximum principle. The optimality conditions are derived in this case. It is then illustrated with the help of examples.


Inventory-production model, Optimal control, Perishable items, Gumbel distribution, Sensitivity analysis.

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