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An optimal control approach to inventory-production systems with weibull distributed deterioration

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 obtai...

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Main Authors: Baten, Md Azizul, Kamil, Anton Abdulbasah
Format: Article
Language:English
Published: Science Publications 2009
Subjects:
QA76 Computer software
Online Access:http://repo.uum.edu.my/12820/1/214.pdf
http://repo.uum.edu.my/12820/
http://dx.doi.org/10.3844/jmssp.2009.206.214
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spelling my.uum.repo.128202014-12-09T12:22:27Z http://repo.uum.edu.my/12820/ An optimal control approach to inventory-production systems with weibull distributed deterioration Baten, Md Azizul Kamil, Anton Abdulbasah QA76 Computer software 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. Science Publications 2009 Article PeerReviewed application/pdf en http://repo.uum.edu.my/12820/1/214.pdf Baten, Md Azizul and Kamil, Anton Abdulbasah (2009) An optimal control approach to inventory-production systems with weibull distributed deterioration. Journal of Mathematics and Statistics, 5 (3). pp. 206-214. ISSN 15493644 http://dx.doi.org/10.3844/jmssp.2009.206.214 doi:10.3844/jmssp.2009.206.214
institution Universiti Utara Malaysia
building UUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Utara Malaysia
content_source UUM Institutionali Repository
url_provider http://repo.uum.edu.my/
language English
topic QA76 Computer software
spellingShingle QA76 Computer software
Baten, Md Azizul
Kamil, Anton Abdulbasah
An optimal control approach to inventory-production systems with weibull distributed deterioration
description 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.
format Article
author Baten, Md Azizul
Kamil, Anton Abdulbasah
author_facet Baten, Md Azizul
Kamil, Anton Abdulbasah
author_sort Baten, Md Azizul
title An optimal control approach to inventory-production systems with weibull distributed deterioration
title_short An optimal control approach to inventory-production systems with weibull distributed deterioration
title_full An optimal control approach to inventory-production systems with weibull distributed deterioration
title_fullStr An optimal control approach to inventory-production systems with weibull distributed deterioration
title_full_unstemmed An optimal control approach to inventory-production systems with weibull distributed deterioration
title_sort optimal control approach to inventory-production systems with weibull distributed deterioration
publisher Science Publications
publishDate 2009
url http://repo.uum.edu.my/12820/1/214.pdf
http://repo.uum.edu.my/12820/
http://dx.doi.org/10.3844/jmssp.2009.206.214
_version_ 1644281009867325440
score 13.211869

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