coupling chebyshev collocation with tlbo to optimal control problem of reservoir sedimentation: a case study on golestan dam, gonbad kavous city, 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.