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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
IOS Press
2014
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| Subjects: | |
| Online Access: | 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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| Summary: | 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. |
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