A combined Bernoulli collocation method and imperialist competitive algorithm for optimal control of sediment in the dam reservoirs | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 8، دوره 5، شماره 1، 2024، صفحه 71-80 اصل مقاله (501.83 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2023.21635.1109 | ||
| نویسندگان | ||
| Raheleh Khanduzi* 1؛ Asyieh Ebrahimzadeh2؛ Zahra Ebrahimzadeh3 | ||
| 1Department of Mathematics and Statistics, Gonbad Kavous University, P.O. Box 49717-99151, Gonbad Kavous, Golestan, Iran | ||
| 2Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran | ||
| 3PhD student, Department of Natural Engineering, Faculty of Natural Resources and Earth Sciences, Shahrekord University, Shahrekord, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Optimal control؛ Singularly perturbed differential equation؛ Reservoir sedimentation؛ Collocation method؛ Imperialist competitive algorithm | ||
| مراجع | ||
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