Abstract:The two steps training method is proposed to replace the iterative way of local principal component analysis algorithm in the regularity model-based multiobjective estimation of distribution algorithm (RM-MEDA). In the phase of training model of improvement algorithm, the ??-means clustering method is used to partition the points in population into primary ?? disjoint clusters at the first step, and then the clustering method based manifold is used to partition at the second step. Simulation results of the six benchmark instances show that the improvement algorithm can maintain the convergence and diversity performance, and decline the computation time greatly.