Adopting the independent crossover and mutation operation to adjust the order and allocation of the processes and equipment,adaptive improvement of the non-dominated sorting genetic algorithm Ⅱ was proposed to realize the multi-objective flexible job-shop scheduling problem.For the improved algorithm，its crossover probability and mutation probability could be dynamically adjusted according to different stages,so as to improve the operation efficiency,the population diversity of the algorithm and reduce the generation of illegal solution.Eventually,the effectiveness of the algorithm was verified through simulation examples.The results show that:the maximum completion time,processing energy consumption,total load of processing equipment and delay time of the new scheme are significantly improved,thus the efficiency of the production management is increased.