An Optimal Control Approach to Inventory-Production Systems with Weibull Distributed Deterioration| Science Publications

Journal of Mathematics and Statistics

Anton A. Kamil¹  Md. A. Baten¹ 

关键词: Inventory-production system;    Weibull distributed deterioration;    linear quadratic regulator;    principle of optimality;    optimal control;   

DOI  :  10.3844/jmssp.2009.206.214

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Problem statement: We studied the inventory-production system with two-parameter Weibull distributed deterioration items. Approach: The inventory model was developed as linear optimal control problem and by the Pontryagin maximum principle, the optimal control problem was solved analytically to obtain the optimal solution of the problem. Results: It was then illustrated with the help of an example. By the principle of optimality we also established the Riccati based solution of the Hamilton-Jacobi-Bellman (HJB) equation associated with this control problem. Conclusion: As an application to quadratic control theory we showed an optimal control policy to exist from the optimality conditions in the HJB equation.

【 授权许可】

Unknown