Aiming at the resource allocation problem in two-layer scheduling of the IMA architecture,a two-layer resource allocation method based on chaotic Logistic mapping and adaptive NSGA-Ⅱ algorithm is proposed.Firstly,according to the task scheduling and partition scheduling requirements of the IMA architecture,and in consideration of resource allocation balance,a partition resource allocation model and a node resource allocation model are constructed respectively.Secondly,the improved NSGA-Ⅱ algorithm is used to optimize the model,chaotic Logistic mapping is introduced to generate the initial population to improve the ergodicity of the initial population,and the adaptive crossover and mutation operators are used to enhance the search performance and convergence rate of the algorithm.Finally,numerical examples of different scales are selected for experiment,and the experimental results show that the proposed method can effectively solve the resource allocation problem of the IMA architecture,improve the allocation efficiency and optimize the allocation result.