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Optimal control of periodic-review inventory production systems with Weibull deteriorating items


Baten, Md Azizul and Khalid, Ruzelan and Mohd Nawawi, Mohd Kamal (2013) Optimal control of periodic-review inventory production systems with Weibull deteriorating items. International Journal of Applied Mathematics and Statistics™ (IJAMAS), 40 (10). pp. 84-98. ISSN 0973-7545

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Abstract

The paper studies of inventory-production systems with two-parameter Weibull distributed deterioration items. The objective of this paper is to determine the optimal production rates and inventory levels that minimize the total cost for the inventory production model.The optimal control theory is applied to solve the developed inventory-production model with Weibull deteriorating items.The solution of the optimal inventory production control model is carried out using the Pontrygin maximum principle.The Lagrangian technique is also used to solve the periodic-review optimal inventory-production model. Finally the numerical examples of the optimal inventory control policy are illustrated through simulation in case of both finite and infinite horizon cases.

Item Type: Article
Uncontrolled Keywords: Inventory systems; Optimal control; Weibull deteriorating items; Pontryagin maximum principle; Lagrange multiplier method; Simulation
Subjects: Q Science > QA Mathematics
T Technology > TS Manufactures
Divisions: College of Arts and Sciences
Depositing User: Prof. Madya Dr. Md. Azizul Baten
Date Deposited: 21 Apr 2014 02:01
Last Modified: 21 Apr 2014 02:01
URI: http://repo.uum.edu.my/id/eprint/10628

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