Closed-form solutions of a fishery harvesting model with state constraint
We derive a closed-form solution for a well-known fisheries harvesting model with an additional state constraint. The problem is linear in the control and previous solutions appearing in the literature have been numerical in nature. The so-called direct adjoining approach is used in our derivation a...
| Main Authors: | , , |
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| Format: | Journal Article |
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John Wiley and Sons, Ltd.
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/23816 |
| _version_ | 1848751255806017536 |
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| author | Puchkova, A. Rehbock, Volker Teo, Kok Lay |
| author_facet | Puchkova, A. Rehbock, Volker Teo, Kok Lay |
| author_sort | Puchkova, A. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We derive a closed-form solution for a well-known fisheries harvesting model with an additional state constraint. The problem is linear in the control and previous solutions appearing in the literature have been numerical in nature. The so-called direct adjoining approach is used in our derivation and the optimal solutions turn out to be a mixture of bang-bang and boundary arcs. |
| first_indexed | 2025-11-14T07:49:50Z |
| format | Journal Article |
| id | curtin-20.500.11937-23816 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:49:50Z |
| publishDate | 2013 |
| publisher | John Wiley and Sons, Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-238162017-09-13T13:59:40Z Closed-form solutions of a fishery harvesting model with state constraint Puchkova, A. Rehbock, Volker Teo, Kok Lay optimal control computation harvesting maximum principle We derive a closed-form solution for a well-known fisheries harvesting model with an additional state constraint. The problem is linear in the control and previous solutions appearing in the literature have been numerical in nature. The so-called direct adjoining approach is used in our derivation and the optimal solutions turn out to be a mixture of bang-bang and boundary arcs. 2013 Journal Article http://hdl.handle.net/20.500.11937/23816 10.1002/oca.2076 John Wiley and Sons, Ltd. restricted |
| spellingShingle | optimal control computation harvesting maximum principle Puchkova, A. Rehbock, Volker Teo, Kok Lay Closed-form solutions of a fishery harvesting model with state constraint |
| title | Closed-form solutions of a fishery harvesting model with state constraint |
| title_full | Closed-form solutions of a fishery harvesting model with state constraint |
| title_fullStr | Closed-form solutions of a fishery harvesting model with state constraint |
| title_full_unstemmed | Closed-form solutions of a fishery harvesting model with state constraint |
| title_short | Closed-form solutions of a fishery harvesting model with state constraint |
| title_sort | closed-form solutions of a fishery harvesting model with state constraint |
| topic | optimal control computation harvesting maximum principle |
| url | http://hdl.handle.net/20.500.11937/23816 |