A determination method for the redrawing ratios has been proposed by analyzing the redrawing process of cylindrical shells from flat circular blanks using the elementary theory of plasticity, and by applying multi-objective optimization theory. These redrawing ratios were calculated using the minimax optimization of a compromise solution of multi-objective optimization theory. These theoretical results on the variations of redrawing ratio with profile radius, blank thickness, frictional force, blankholder load and strain-hardening exponent are presented using a developed computer program aimed at rationalizing, planning and simulating the redrawing process. It is shown that the maximum non-attainment value decreased to about 20-70% compared to those values of other optimization criteria.