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This paper proposes a new methodology for solving the scheduling problem of center pivot system irrigation timetable based on the Luus–Jaakola optimization method. The new methodology considers as influencing factors the water and energy consumed and the limit of the available flow to the areas that are being irrigated. The methodology allows the implementation of a non-linear model during an acceptable time scenario as it reduces the number of parameters that must be estimated in the optimization problem. The numerical results show that the programmed timetables, which consider a large number of parameters, were successfully processed.