The genetic algorithms (GA) have been successfully applied to optimization
problems in a variety of areas. In this paper, some modifications to GA are
designed to study their performance and efficiency on a typical 2D system,
2D Ising spin glass. In particular, two kinds of modified GAs are compared
for their searching ability (performance) and efficiency (convergence), by
presenting a direct and visual criterion. Finally, some constructive comme
nts and prospects on GA are presented.