Optimal control of production inventory systems with inventory-level-dependent demand
Considering the phenomenon of inventory stimulating demand in real life, this article introduces an optimal control model of production inventory systems. In this model, the production rate and price level are control variables, the production rate is bounded, the inventory level is state variables,...
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| Format: | Article |
| Language: | zho |
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Science Press
2015-01-01
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| Series: | 工程科学学报 |
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| Online Access: | http://cje.ustb.edu.cn/article/doi/10.13374/j.issn2095-9389.2015.01.018 |
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| author | LIU Ming DONG Shao-hua LI Xian-feng LIU Cai-yun PANG Hui |
| author_facet | LIU Ming DONG Shao-hua LI Xian-feng LIU Cai-yun PANG Hui |
| author_sort | LIU Ming |
| collection | DOAJ |
| description | Considering the phenomenon of inventory stimulating demand in real life, this article introduces an optimal control model of production inventory systems. In this model, the production rate and price level are control variables, the production rate is bounded, the inventory level is state variables, and the demand rate depends on the inventory level and price level. Three possible solutions are achieved according to different values of model parameters using the maximum principle and are analyzed in detail. By applying the model to a numerical example, a concrete transformation process of the system state is presented. In comparison with the case that demand does not depend on inventory, the impact of demand depending on inventory comes to light. |
| format | Article |
| id | doaj-art-dcbc60eb2c8440d2887e472eaa4dac93 |
| institution | OA Journals |
| issn | 2095-9389 |
| language | zho |
| publishDate | 2015-01-01 |
| publisher | Science Press |
| record_format | Article |
| series | 工程科学学报 |
| spelling | doaj-art-dcbc60eb2c8440d2887e472eaa4dac932025-08-20T02:17:04ZzhoScience Press工程科学学报2095-93892015-01-0137111812410.13374/j.issn2095-9389.2015.01.018Optimal control of production inventory systems with inventory-level-dependent demandLIU MingDONG Shao-hua0LI Xian-feng1LIU Cai-yun2PANG Hui31. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China;1. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China;2. School of Mathematics and Computer, Tongling University, Tongling 244061, China1. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China;Considering the phenomenon of inventory stimulating demand in real life, this article introduces an optimal control model of production inventory systems. In this model, the production rate and price level are control variables, the production rate is bounded, the inventory level is state variables, and the demand rate depends on the inventory level and price level. Three possible solutions are achieved according to different values of model parameters using the maximum principle and are analyzed in detail. By applying the model to a numerical example, a concrete transformation process of the system state is presented. In comparison with the case that demand does not depend on inventory, the impact of demand depending on inventory comes to light.http://cje.ustb.edu.cn/article/doi/10.13374/j.issn2095-9389.2015.01.018demandproductioninventory systemsoptimal control |
| spellingShingle | LIU Ming DONG Shao-hua LI Xian-feng LIU Cai-yun PANG Hui Optimal control of production inventory systems with inventory-level-dependent demand 工程科学学报 demand production inventory systems optimal control |
| title | Optimal control of production inventory systems with inventory-level-dependent demand |
| title_full | Optimal control of production inventory systems with inventory-level-dependent demand |
| title_fullStr | Optimal control of production inventory systems with inventory-level-dependent demand |
| title_full_unstemmed | Optimal control of production inventory systems with inventory-level-dependent demand |
| title_short | Optimal control of production inventory systems with inventory-level-dependent demand |
| title_sort | optimal control of production inventory systems with inventory level dependent demand |
| topic | demand production inventory systems optimal control |
| url | http://cje.ustb.edu.cn/article/doi/10.13374/j.issn2095-9389.2015.01.018 |
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