A combined Bernoulli collocation method and imperialist competitive algorithm for optimal control of sediment in the dam reservoirs
Reservoir sedimentation increases economic cost and overflow of dam water. An optimal control problem (OCP) with singularly perturbed equations of motion is perused in the fields of sediment management during a finite lifespan. Subsequently the OCP is transformed to a nonlinear programming problem b...
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| Format: | Article |
| Language: | English |
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Amirkabir University of Technology
2024-01-01
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| Series: | AUT Journal of Mathematics and Computing |
| Subjects: | |
| Online Access: | https://ajmc.aut.ac.ir/article_5097_aca3fb7e3c3d28968651c2c554d78b56.pdf |
| _version_ | 1797307086601715712 |
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| author | Raheleh Khanduzi Asyieh Ebrahimzadeh Zahra Ebrahimzadeh |
| author_facet | Raheleh Khanduzi Asyieh Ebrahimzadeh Zahra Ebrahimzadeh |
| author_sort | Raheleh Khanduzi |
| collection | DOAJ |
| description | Reservoir sedimentation increases economic cost and overflow of dam water. An optimal control problem (OCP) with singularly perturbed equations of motion is perused in the fields of sediment management during a finite lifespan. Subsequently the OCP is transformed to a nonlinear programming problem by utilizing a collocation approach, and then we employed the imperialist competitive algorithm to improve the execution time and decision. So, the solutions of the optimal control and fast state as well as the maximization of net present value of dam operations are obtained. An illustrative practical study demonstrated that sedimentation management is economically favourable for volume of confined water and total amount in remaining storage and effectiveness of the propounded approach. |
| first_indexed | 2024-03-08T00:52:14Z |
| format | Article |
| id | doaj.art-c212d2dce6d44a319209d58d1a196ff8 |
| institution | Directory Open Access Journal |
| issn | 2783-2449 2783-2287 |
| language | English |
| last_indexed | 2024-03-08T00:52:14Z |
| publishDate | 2024-01-01 |
| publisher | Amirkabir University of Technology |
| record_format | Article |
| series | AUT Journal of Mathematics and Computing |
| spelling | doaj.art-c212d2dce6d44a319209d58d1a196ff82024-02-14T19:42:48ZengAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492783-22872024-01-0151718010.22060/ajmc.2023.21635.11095097A combined Bernoulli collocation method and imperialist competitive algorithm for optimal control of sediment in the dam reservoirsRaheleh Khanduzi0Asyieh Ebrahimzadeh1Zahra Ebrahimzadeh2Department of Mathematics and Statistics, Gonbad Kavous University, P.O. Box 49717-99151, Gonbad Kavous, Golestan, IranDepartment of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, IranPhD student, Department of Natural Engineering, Faculty of Natural Resources and Earth Sciences, Shahrekord University, Shahrekord, IranReservoir sedimentation increases economic cost and overflow of dam water. An optimal control problem (OCP) with singularly perturbed equations of motion is perused in the fields of sediment management during a finite lifespan. Subsequently the OCP is transformed to a nonlinear programming problem by utilizing a collocation approach, and then we employed the imperialist competitive algorithm to improve the execution time and decision. So, the solutions of the optimal control and fast state as well as the maximization of net present value of dam operations are obtained. An illustrative practical study demonstrated that sedimentation management is economically favourable for volume of confined water and total amount in remaining storage and effectiveness of the propounded approach.https://ajmc.aut.ac.ir/article_5097_aca3fb7e3c3d28968651c2c554d78b56.pdfoptimal controlsingularly perturbed differential equationreservoir sedimentationcollocation methodimperialist competitive algorithm |
| spellingShingle | Raheleh Khanduzi Asyieh Ebrahimzadeh Zahra Ebrahimzadeh A combined Bernoulli collocation method and imperialist competitive algorithm for optimal control of sediment in the dam reservoirs AUT Journal of Mathematics and Computing optimal control singularly perturbed differential equation reservoir sedimentation collocation method imperialist competitive algorithm |
| title | A combined Bernoulli collocation method and imperialist competitive algorithm for optimal control of sediment in the dam reservoirs |
| title_full | A combined Bernoulli collocation method and imperialist competitive algorithm for optimal control of sediment in the dam reservoirs |
| title_fullStr | A combined Bernoulli collocation method and imperialist competitive algorithm for optimal control of sediment in the dam reservoirs |
| title_full_unstemmed | A combined Bernoulli collocation method and imperialist competitive algorithm for optimal control of sediment in the dam reservoirs |
| title_short | A combined Bernoulli collocation method and imperialist competitive algorithm for optimal control of sediment in the dam reservoirs |
| title_sort | combined bernoulli collocation method and imperialist competitive algorithm for optimal control of sediment in the dam reservoirs |
| topic | optimal control singularly perturbed differential equation reservoir sedimentation collocation method imperialist competitive algorithm |
| url | https://ajmc.aut.ac.ir/article_5097_aca3fb7e3c3d28968651c2c554d78b56.pdf |
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