Inventory-production control systems with Gumbel distributed deterioration

This paper is concerned with the optimal control of inventory-production system subject to 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 ma...

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Bibliographic Details
Main Authors: Baten, Md Azizul, Kamil, Anton Abdulbasah, Lateh, Habibah
Format: Article
Language:English
Published: Elsevier B.V. 2012
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/10616/1/Md.pdf
Description
Summary:This paper is concerned with the optimal control of inventory-production system subject to 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.