产品族一主多从模型的分解协调方法

Decomposition Coordination Method of Product Family Model with One Leader and Multi-followers Structure

阐述了产品族设计中存在一类本身具有主从结构的问题。建立了一类产品族一主多从模型的一般形式,针对从者之间决策变量出现耦合的情形,通过在目标函数上添加偏差项,给出了一个分解协调的算法,使得从者之间变量独立。讨论了原问题的Pareto解与分解协调后问题可行解之间的关系,通过一个通用电机产品族的算例验证了方法的可行性。

The existence of a class of product family design problems with leader-follower structure was demonstrated.A general formulation of product family model with one leader and multi-followers was established.Aiming at the coupling decision variable among multi-followers,a decomposition co-ordination method was given.Through adding deviation on the obj ective,the variables of multi-fol-lowers become independent.The relationship between the Pareto solution of original problem and the feasible solution of decomposition coordination problem was discussed.At last,the method was vali-dated by the case study of universal motor family.