Research on the Progressive Combinatorial Optimization for Multi-Objective Collaborative Problems
A progressive combinatorial optimization method based on the augmented Lagrangian multiplier method is studied for a large number of multi-objective collaborative problems with coupled variables that exist in the engineer-ing field.After objective decomposition,iterative update of penalty parameters,convergence test and other steps,the printed circuit board is optimized and the optimization scheme and optimization target value are calculated.The test and analysis results of the samples show that the progressive combination optimization method can significantly improve the bonding strength and thermal resistance of the printed circuit board while maintaining the bonding strength of the printed circuit board.The thermal resistance value of the sample before optimization is 13.48 K/W,and the thermal resistance value after optimization is 7.34 K/W.The optimized thermal resistance meets the requirement that the thermal resistance≤12.50 K/W.This optimization method using computer processing can calculate the opti-mal solution very quickly and comprehensively,and has the potential to solve the multi-coupling design and process problems in complex systems.