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An optimal control of inventory-production system with gamma distributed deterioration


Dhaiban, A. K. and Baten, Md Azizul and Aziz, N. (2015) An optimal control of inventory-production system with gamma distributed deterioration. International Journal of Applied Mathematics and Statistics™ (IJAMAS), 53 (2). ISSN 0973-7545

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Abstract

The study is concerned with the optimal control of an inventory-production system with time-varying demand and deterioration items assuming that the deterioration rate follows the Gamma distribution. The Pontryagin maximum principle is applied here to derive the optimality conditions from the dynamic of the inventory- production level.The simulation and sensitivity analysis results of the inventory system are illustrated for a set of Gamma distributed parametric values.The numerical solution of the inventory-production system with different demand functions are presented extensively.

Item Type: Article
Uncontrolled Keywords: Optimal control, Inventory system, Inventory production system, Gamma distributed deterioration, Demand functions.
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 04:58
Last Modified: 14 Nov 2016 04:58
URI: http://repo.uum.edu.my/id/eprint/19421

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