Optimal Control of Renewable Resources Based on the Effective Utilization Rate
The effective utilization rate of exploited renewable resources affects the final total revenue and the further exploitation of renewable resources. Considering the effective utilization rate, we propose an optimal control model for the exploitation of the renewable resources in this study. Firstly,...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/369493 |
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| _version_ | 1832564243651624960 |
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| author | Rui Wu Zhengwei Shen Fucheng Liao |
| author_facet | Rui Wu Zhengwei Shen Fucheng Liao |
| author_sort | Rui Wu |
| collection | DOAJ |
| description | The effective utilization rate of exploited renewable resources affects the final total revenue and the further exploitation of renewable resources. Considering the effective utilization rate, we propose an optimal control model for the exploitation of the renewable resources in this study. Firstly, we can prove that the novel model is nonsingular compared with the singular basic model. Secondly, we solve the novel model and obtain the optimal solution by Bang-Bang theory. Furthermore, we can determine the optimal total resources and the maximal total revenue. Finally, a numerical example is provided to verify the obtained theoretical results. |
| format | Article |
| id | doaj-art-1700df76f3734c3caa221d17fa6fb09a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1700df76f3734c3caa221d17fa6fb09a2025-02-03T01:11:25ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/369493369493Optimal Control of Renewable Resources Based on the Effective Utilization RateRui Wu0Zhengwei Shen1Fucheng Liao2Department of Mathematics of University of Science and Technology, 30th Xueyuan Road, Haidian District, Beijing 100083, ChinaDepartment of Mathematics of University of Science and Technology, 30th Xueyuan Road, Haidian District, Beijing 100083, ChinaDepartment of Mathematics of University of Science and Technology, 30th Xueyuan Road, Haidian District, Beijing 100083, ChinaThe effective utilization rate of exploited renewable resources affects the final total revenue and the further exploitation of renewable resources. Considering the effective utilization rate, we propose an optimal control model for the exploitation of the renewable resources in this study. Firstly, we can prove that the novel model is nonsingular compared with the singular basic model. Secondly, we solve the novel model and obtain the optimal solution by Bang-Bang theory. Furthermore, we can determine the optimal total resources and the maximal total revenue. Finally, a numerical example is provided to verify the obtained theoretical results.http://dx.doi.org/10.1155/2015/369493 |
| spellingShingle | Rui Wu Zhengwei Shen Fucheng Liao Optimal Control of Renewable Resources Based on the Effective Utilization Rate Abstract and Applied Analysis |
| title | Optimal Control of Renewable Resources Based on the Effective Utilization Rate |
| title_full | Optimal Control of Renewable Resources Based on the Effective Utilization Rate |
| title_fullStr | Optimal Control of Renewable Resources Based on the Effective Utilization Rate |
| title_full_unstemmed | Optimal Control of Renewable Resources Based on the Effective Utilization Rate |
| title_short | Optimal Control of Renewable Resources Based on the Effective Utilization Rate |
| title_sort | optimal control of renewable resources based on the effective utilization rate |
| url | http://dx.doi.org/10.1155/2015/369493 |
| work_keys_str_mv | AT ruiwu optimalcontrolofrenewableresourcesbasedontheeffectiveutilizationrate AT zhengweishen optimalcontrolofrenewableresourcesbasedontheeffectiveutilizationrate AT fuchengliao optimalcontrolofrenewableresourcesbasedontheeffectiveutilizationrate |