Baten, Md Azizul and Khalid, Ruzelan (2014) Optimal control of a continuous review production inventory system with Gamma distributed deterioration. Journal of Intelligent & Fuzzy Systems, 27. pp. 2937-2948. ISSN 1064-1246

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Abstract

This paper develops the production inventory models with and without Gamma distributed deteriorating items.The production system with inventory level dependent demand is considered here and the Pontryagin maximum principle is used to determine the optimal control, which is the production rate that minimizes the optimal inventory control model, while satisfying the system dynamics.The necessary optimality conditions associated with and without Gamma distributed deteriorating items are derived from the Hamiltonian functions.The optimal inventory levels and the optimal production rates are derived and numerical simulations are used to illustrate the theoretical results.

Item Type:	Article
Uncontrolled Keywords:	Inventory systems, production control, Gamma distribution, deterioration item, optimal control, Pontryagin maximum principle, continuous review policy
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	School of Quantitative Sciences
Depositing User:	Prof. Madya Dr. Md. Azizul Baten
Date Deposited:	14 Nov 2016 04:04
Last Modified:	14 Nov 2016 04:04
URI:	https://repo.uum.edu.my/id/eprint/19400

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