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Surrogate-assisted optimization algorithm (SAO) is an efficient way to save the time and cost of the evaluation for engineering optimization problems.Efficient Global Optimization (EGO)is an important SAO algorithm which is based on GP process and Expected Improvement (EI)criterion (Jones and Schonlau 1998).This algorithm was originally proposed to solve unconstrained problems and then was modified to solve the constrained problems (Bagheri and Konen 2017).