Optimal scheduling of reservoir releases during flood: Deterministic optimization problem. I: Procedure (Q1102855)

We are concerned with the optimal scheduling of water releases from retention reservoirs during flood with the objective of minimizing flood damages at the important damage centers downstream of the reservoirs. Unlike in most other papers devoted to this subject, the flood routing equations are nonlinear. The performance index of the problem leads to a minimax optimal control problem. For this problem, necessary optimality conditions are provided and a version of the feasible directions method is proposed. [For part II see the following review.]