Optimal control of periodic-review inventory production systems with Weibull deteriorating items
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 ap...
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| Format: | Article |
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CESER Publications
2013
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| author | Baten, Md Azizul Khalid, Ruzelan Mohd Nawawi, Mohd Kamal |
| author_facet | Baten, Md Azizul Khalid, Ruzelan Mohd Nawawi, Mohd Kamal |
| author_sort | Baten, Md Azizul |
| collection | UUM |
| description | 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. |
| first_indexed | 2024-07-04T05:44:30Z |
| format | Article |
| id | uum-10628 |
| institution | Universiti Utara Malaysia |
| last_indexed | 2024-07-04T05:44:30Z |
| publishDate | 2013 |
| publisher | CESER Publications |
| record_format | dspace |
| spelling | uum-106282014-04-21T02:01:07Z https://repo.uum.edu.my/id/eprint/10628/ Optimal control of periodic-review inventory production systems with Weibull deteriorating items Baten, Md Azizul Khalid, Ruzelan Mohd Nawawi, Mohd Kamal QA Mathematics TS Manufactures 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. CESER Publications 2013 Article PeerReviewed 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 http://www.ceser.in/ceserp/index.php/ijamas/article/view/1792 |
| spellingShingle | QA Mathematics TS Manufactures Baten, Md Azizul Khalid, Ruzelan Mohd Nawawi, Mohd Kamal Optimal control of periodic-review inventory production systems with Weibull deteriorating items |
| title | Optimal control of periodic-review inventory production systems with Weibull deteriorating items |
| title_full | Optimal control of periodic-review inventory production systems with Weibull deteriorating items |
| title_fullStr | Optimal control of periodic-review inventory production systems with Weibull deteriorating items |
| title_full_unstemmed | Optimal control of periodic-review inventory production systems with Weibull deteriorating items |
| title_short | Optimal control of periodic-review inventory production systems with Weibull deteriorating items |
| title_sort | optimal control of periodic review inventory production systems with weibull deteriorating items |
| topic | QA Mathematics TS Manufactures |
| work_keys_str_mv | AT batenmdazizul optimalcontrolofperiodicreviewinventoryproductionsystemswithweibulldeterioratingitems AT khalidruzelan optimalcontrolofperiodicreviewinventoryproductionsystemswithweibulldeterioratingitems AT mohdnawawimohdkamal optimalcontrolofperiodicreviewinventoryproductionsystemswithweibulldeterioratingitems |