The present invention is related to a method of generating a production strategy for the development of a reservoir of hydrocarbon in a natural environment by solving a minimization problem involving, among others, decisional variables, in such a way said decisional variables are reduced or even eliminated by combining them with other continuous variables. The reduction of decisional variables provides a high reduction of the computational cost. The elimination of all decisional variables allow a further reduction of the computational cost as solvers such as Mixed Integer Nonlinear Programming allowing the use of decisional variables that are not needed anymore. A particular case of decisional variables are binary variables.
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