Dominant augmented Lagrangian coordination method for complex system optimization

Due to the deficiency of two coordination mode in Augmented Lagrangian Coordination (ALC) method that were a main problem in centralized ALC method to coordinate all the sub-problems leaded to the increase of couplings, and the sub-problems needed to be solved sequentially in the distributed ALC method, a Dominant Augmented Lagrangian Coordination (DALC) method was presented based on tradeoff between parallelism and efficiency. In DALC method, an existing sub-problem was selected as the master problem to coordinate other sub-problems. The principle of existing sub-problem selection and DALC's application conditions were discussed respectively, DALC's mathematical equivalence proof and convergence analysis were given in details. Experimental simulation results showed that the proposed method was effective and feasible, which provided a comprehensive reference for scholars to solve optimization problems such as complex mechanical design.