Optimization of the operation of a complex water resources system : part -I : analysis of the convergence criterrion in a solution by the discrete differential dynamic programming

الملخص EN

An iterative - solution procedure necessarily involved pre- specified convergence criteria to stop iteration .

The Discrete Differential dynamic Programming procedure to solve optimization problems formulated by the Dynamic Programming is an iterative - solution procedure which , in its traditional form , involves two convergence criteria , namely , (α) and (β).

The research used the optimum operation of an existing complex water - resources system as a case study .

The objective function was formulated as the maximum real monetary return .

The formulated optimization model was run for a total of (194) different operation cases .

Beside the traditional (α) and (β), seven new styles for a unique convergence criterion were examined in the solution.

Considering the monetary return and the number of performed iterations as the bases of comparison , the research showed that the new (ɣ) convergence criterion was the favorite among the tested convergence criteria.