Optimal control of a continuous review production inventory system with Gamma distributed deterioration
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 m...
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2014
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my.uum.repo.194002016-11-14T04:04:52Z http://repo.uum.edu.my/19400/ Optimal control of a continuous review production inventory system with Gamma distributed deterioration Baten, Md Azizul Khalid, Ruzelan QA75 Electronic computers. Computer science 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. IOS Press 2014 Article PeerReviewed application/pdf en http://repo.uum.edu.my/19400/1/JISDC%202014%201-12.pdf 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 http://content.iospress.com/articles/journal-of-intelligent-and-fuzzy-systems/ifs1253 |
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QA75 Electronic computers. Computer science Baten, Md Azizul Khalid, Ruzelan Optimal control of a continuous review production inventory system with Gamma distributed deterioration |
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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. |
format |
Article |
author |
Baten, Md Azizul Khalid, Ruzelan |
author_facet |
Baten, Md Azizul Khalid, Ruzelan |
author_sort |
Baten, Md Azizul |
title |
Optimal control of a continuous review production inventory system with Gamma distributed deterioration |
title_short |
Optimal control of a continuous review production inventory system with Gamma distributed deterioration |
title_full |
Optimal control of a continuous review production inventory system with Gamma distributed deterioration |
title_fullStr |
Optimal control of a continuous review production inventory system with Gamma distributed deterioration |
title_full_unstemmed |
Optimal control of a continuous review production inventory system with Gamma distributed deterioration |
title_sort |
optimal control of a continuous review production inventory system with gamma distributed deterioration |
publisher |
IOS Press |
publishDate |
2014 |
url |
http://repo.uum.edu.my/19400/1/JISDC%202014%201-12.pdf http://repo.uum.edu.my/19400/ http://content.iospress.com/articles/journal-of-intelligent-and-fuzzy-systems/ifs1253 |
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1644282695208927232 |
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13.149126 |