A Model to Create Graeco Latin Square Using Genetic Algorithm

In today´s increasingly competitive world, Design of Experiments (DoE) techniques are widely used, both by researchers and in industry to minimization of statistical experiments and lowering cost while maximization of result quality. But DoE techniques are various in involved factors and application. One of the most important models that can block 3 nuisance factors is Graeco Latin Square. Considering the complexities of creating n ≥ 5 square, In this paper we use Genetic Algorithm as a effective meta-heuristic method for dealing with these complexities. After designing and implementing the model, result of the algorithm shows that this procedure leads to appropriate answer rapidly.