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This article presents a new strategy to assign wavelengths in an optical link considering the four wave mixing effect in the optical fiber, for different sizes of wavelength grids. The four wave mixing effect is taken into account by using a formulation that calculates the fiber noise figure for each wavelength. We obtain the distributions of wavelengths from a genetic algorithm, which considers the quality of service criterion based on bit error rate. We show that our strategy is capable of determining assignments of wavelength that minimizes the impact of the four wave mixing effect. We also analyze the performance of our proposed genetic algorithm.