Aiming at the distributed permutation flowshop scheduling problem with variable processing speed,a dual-population algorithm is proposed to optimize the makespan and the total energy consumption of the machine.First,an initialization method that mixes four strategies is used to generate a high-quality initial population.Second,specific evolution methods are designed according to the characteristics of the two populations,and the dynamic guide factor is introduced to adjust the evolution mode of the populations.Meanwhile,an energy-saving strategy for speed regulation is proposed to further optimize energy consumption.Finally,a dynamic population strategy is proposed to balance the resources of the two populations.Simulation results verify the effectiveness of each strategy,and show that the proposed dual population algorithm outperforms current multi-objective evolutionary algorithms.