Dampening bullwhip effect of order-up-to inventory strategies via an optimal control method
In this paper, we consider the bullwhip effect problem of an Order-Up-To (OUT) inventory strategy for a supply chain system. We firstly establish a new discrete-time dynamical model which is suitable to describe the OUT inventory strategy. Then, we analyze the bullwhip effect for the dynamical model...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
American Institute of Mathematical Sciences
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/32698 |
| _version_ | 1848753735641071616 |
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| author | Xu, Honglei Sui, P. Zhou, Guanglu Caccetta, Louis |
| author_facet | Xu, Honglei Sui, P. Zhou, Guanglu Caccetta, Louis |
| author_sort | Xu, Honglei |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider the bullwhip effect problem of an Order-Up-To (OUT) inventory strategy for a supply chain system. We firstly establish a new discrete-time dynamical model which is suitable to describe the OUT inventory strategy. Then, we analyze the bullwhip effect for the dynamical model of the supply chain system. We thus transform the bullwhip effect's dampening problem to a discrete-time optimal control problem. By using the Pontryagin's maximum principle, we compute the corresponding optimal control and obtain the optimal manufacturer productivity of goods. Finally, we carry out numerical simulation experiments to show that the devised optimal control strategy is useful to dampen the bullwhip effect which always happens in the supply chain system. |
| first_indexed | 2025-11-14T08:29:14Z |
| format | Journal Article |
| id | curtin-20.500.11937-32698 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:29:14Z |
| publishDate | 2013 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-326982019-02-19T05:35:39Z Dampening bullwhip effect of order-up-to inventory strategies via an optimal control method Xu, Honglei Sui, P. Zhou, Guanglu Caccetta, Louis Bullwhip effect optimal control order-up-to inventory strategy In this paper, we consider the bullwhip effect problem of an Order-Up-To (OUT) inventory strategy for a supply chain system. We firstly establish a new discrete-time dynamical model which is suitable to describe the OUT inventory strategy. Then, we analyze the bullwhip effect for the dynamical model of the supply chain system. We thus transform the bullwhip effect's dampening problem to a discrete-time optimal control problem. By using the Pontryagin's maximum principle, we compute the corresponding optimal control and obtain the optimal manufacturer productivity of goods. Finally, we carry out numerical simulation experiments to show that the devised optimal control strategy is useful to dampen the bullwhip effect which always happens in the supply chain system. 2013 Journal Article http://hdl.handle.net/20.500.11937/32698 10.3934/naco.2013.3.655 American Institute of Mathematical Sciences fulltext |
| spellingShingle | Bullwhip effect optimal control order-up-to inventory strategy Xu, Honglei Sui, P. Zhou, Guanglu Caccetta, Louis Dampening bullwhip effect of order-up-to inventory strategies via an optimal control method |
| title | Dampening bullwhip effect of order-up-to inventory strategies via an optimal control method |
| title_full | Dampening bullwhip effect of order-up-to inventory strategies via an optimal control method |
| title_fullStr | Dampening bullwhip effect of order-up-to inventory strategies via an optimal control method |
| title_full_unstemmed | Dampening bullwhip effect of order-up-to inventory strategies via an optimal control method |
| title_short | Dampening bullwhip effect of order-up-to inventory strategies via an optimal control method |
| title_sort | dampening bullwhip effect of order-up-to inventory strategies via an optimal control method |
| topic | Bullwhip effect optimal control order-up-to inventory strategy |
| url | http://hdl.handle.net/20.500.11937/32698 |