A combined Bernoulli collocation method and imperialist competitive algorithm for optimal control of sediment in the dam reservoirs

Document Type : Original Article


1 Department of Mathematics and Statistics, Gonbad Kavous University, P.O. Box 49717-99151, Gonbad Kavous, Golestan, Iran

2 Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran

3 PhD student, Department of Natural Engineering, Faculty of Natural Resources and Earth Sciences, Shahrekord University, Shahrekord, Iran


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.


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