The use of the Corner Sorting method in the NSGA-II in comparison with SPEA-II in the simultaneous optimization, the size, Shape and topology of two-dimensional trusses

In this study, we are trying to do Non-dominated Sorting in simultaneous optimization at three levels the size, deformation and topology in two-dimensional trusses by using a new technique for Corner Sorting in genetic algorithms. Also, using this method and comparison with strong SPEA-II evolutionary algorithms in parameter, accuracy and extent of the Pareto curve occurs. Therefore, first we examine the algorithm in terms of numerical in the mathematics problems. And then, in ten-bars and three -bars trusses, we examine three levels of size, deformation and topology. The results show that the algorithm has very high accuracy to find solutions closer to the true Pareto optimal. Also, the algorithm has high capacity to find different topology at Pareto optimal level.