Coupling Chebyshev Collocation with TLBO to Optimal Control Problem of Reservoir Sedimentation: A Case Study on Golestan Dam, Gonbad Kavous City, Iran

Document Type : Original Scientific Paper


1 Department of Mathematics Education, Farhangian university, Tehran, Iran.

2 Department of mathematics and statistics, Faculty of Basic Sciences and Engineering, Gonbad Kavous University

3 Faculty of Natural Resources and Earth Sciences, Shahrekord University, Shahrekord, Iran


‎In this paper‎, ‎an efficient and robust approach based on the Chebyshev collocation method and Teaching-Learning-Based Optimization (TLBO) is utilized to solve the Optimal Control Problem (OCP) of reservoir sedimentation on Golestan dam in Gonbad Kavous City‎, ‎Iran‎. ‎The discretized method employs Mth degree of Lagrange polynomial approximation for an unknown variable and Gauss-Legendre integration‎. ‎The OCP yields a nonlinear programming problem (NLP)‎, ‎and then this NLP is solved by TLBO‎. ‎Numerical implementations are given to demonstrate this approach yields more acceptable and the accurate results‎. ‎Furthermore‎, ‎it is found that filling the dam with sediment decreases the water storage‎, ‎increases dam maintenance costs‎, ‎and also decreases the stability of the dam over a period of 40 years‎. ‎Our results show that the Golestan dam will gain development with the construction of the new reservoir‎.


Main Subjects

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