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The surface irrigation systems when designed and managed appropriately could present performance that would be compatible to other systems knowingly more efficient. Thus, this research aimed to develop a computer tool capable to investigate on the optimal inflow in the furrow irrigation systems with continuous flow, performing successive simulations by the kinematic wave model of the advance phase and respective prognostics of the performance parameters of the irrigation system. The proposed computer mathematical model, written in the DELPHI 5.0 language programming and named SASIS (Software applied to surface Irrigation Systems), had its validation tested for different field conditions. The results of this analysis demonstrated that the applied inflow exercises decisive influence on the performance parameters of the irrigation system, having the best performances happened for inflows close to minimum values allowed. The need of the optimization was verified in the furrow irrigation system with continuous flow identifying, still, that in some field conditions high performance levels can be reached through of this optimization process. The Software SASIS presents effective mechanisms in the accomplishment of countless simulations, in a flow strip between the minimum and the maximum values allowed, aiming to determine the relationship between inflow and water application efficiency, percolation and runoffs rations and, consequently, to optimize the performance of furrow irrigation system with continuous flow.