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In this paper, we propose a numerical model for Four-Wave Mixing (FWM)efficiency in quantum dot semiconductor optical amplifiers (QD-SOAs). Despite thecomplexities of the equations governing the QD-SOAs, simple models with shortcomputational time are essential to analyze and design them. We present equations ofthe QD-SOAs coherently and calculate FWM efficiency in the QD-SOA using thepump/probe technique. In this model, the rate equations take into account theoccupation probabilities of each level instead of the carrier of densities. Moreover, thetransfer matrix based on the pump/probe measurement technique is solved in twodimensions, space and time, using the Slice technique. The described model isimplemented in the MATLAB environment. The proposed model is simpler than similarmodels and has a shorter computational time than them