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为了解决增广拉格朗日协调方法中集中式协调因主问题的引入使得耦合量增加而降低了协调执行效率和分布式协调降低了并行计算的问题,提出了兼顾效率与并行计算的主控式增广拉格朗日协调方法,并分别对主控问题的引入机制、适用条件和选择原则进行了讨论,同时给出了其模型数学等价性论证和收敛性分析。实例仿真结果表明了所提出方法的有效性和可行性,为学者了解和使用该方法解决复杂机械系统设计等优化问题提供了全面的参考。
In order to solve the problem of parallel computing by reducing the coordination execution efficiency and distributed coordination by increasing the amount of coupling due to the introduction of the main problem in the augmented Lagrange reconciliation method, the centralized coordination is put forward to balance the efficiency and parallel computing Augmented Lagrange co-ordination method, and discussed the introduction mechanism, applicable conditions and selection principles of the master control problems respectively. At the same time, the mathematical equivalence argumentation and convergence analysis of the model are given. The simulation results of the example show the effectiveness and feasibility of the proposed method and provide a comprehensive reference for the scholars to understand and use this method to solve optimization problems of complex mechanical system design.