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

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 dynami...

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Main Authors: Dhaiban, A. K., Baten, Md Azizul, Aziz, N.
Format: Article
Published: CESER Publications 2015
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Online Access:http://repo.uum.edu.my/19421/
http://www.ceser.in/ceserp/index.php/ijamas/article/view/3410
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spelling my.uum.repo.194212016-11-14T04:58:39Z http://repo.uum.edu.my/19421/ An optimal control of inventory-production system with gamma distributed deterioration Dhaiban, A. K. Baten, Md Azizul Aziz, N. QA75 Electronic computers. Computer science 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. CESER Publications 2015 Article PeerReviewed 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 http://www.ceser.in/ceserp/index.php/ijamas/article/view/3410
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/
topic QA75 Electronic computers. Computer science
spellingShingle QA75 Electronic computers. Computer science
Dhaiban, A. K.
Baten, Md Azizul
Aziz, N.
An optimal control of inventory-production system with gamma distributed deterioration
description 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.
format Article
author Dhaiban, A. K.
Baten, Md Azizul
Aziz, N.
author_facet Dhaiban, A. K.
Baten, Md Azizul
Aziz, N.
author_sort Dhaiban, A. K.
title An optimal control of inventory-production system with gamma distributed deterioration
title_short An optimal control of inventory-production system with gamma distributed deterioration
title_full An optimal control of inventory-production system with gamma distributed deterioration
title_fullStr An optimal control of inventory-production system with gamma distributed deterioration
title_full_unstemmed An optimal control of inventory-production system with gamma distributed deterioration
title_sort optimal control of inventory-production system with gamma distributed deterioration
publisher CESER Publications
publishDate 2015
url http://repo.uum.edu.my/19421/
http://www.ceser.in/ceserp/index.php/ijamas/article/view/3410
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score 13.149126