基于非对称模糊优化模型的多学科协同满意优化

协同优化(CO)作为一种多学科设计优化(MDO)方法,包括两级优化:系统级和若干个学科级.然而工程设计实践中往往存在很多不确定因素,而且互相冲突的多个优化目标的存在,进一步增加了CO建模的求解复杂性.采用模糊截集水平法为各个学科设计了非对称CO模型,扩展了学科分析模块,使学科级能独立获取本学科最优的截集水平,以构造相应决策空间.利用满意度原理设计了学科级优化的目标函数,并将其作为一致性方程的组成部分传递到系统级.系统级在满足一致性约束的同时,最大化综合满意度方程,使所有学科同时获得最满意的优化解.电子封装问题的多学科协同满意优化实例表明该方法是行之有效的.

Multidisciplinary satisficing collaborative optimization using asymmetrical fuzzy model

Collaborative optimization(CO) in multidisciplinary design optimization(MDO) consists of system-level and several discipline-levels.However,in practical engineering design,lots of fuzzy factors,especially,the mutual conflicting objectives further increase the complexity of CO.The cuts level method is used to design the asymmetrical fuzzy model for CO,which guarantees each discipline to acquire its optimum cuts level independently and constructs the relevant decision space.At the same time,the satisfaction degree is used to design the discipline objective function,which is used as the component of the discrepancy equation and is delivered to system-level.As system-level maximizes the overall satisfaction degree function,each discipline can acquire the optimum satisfaction solutions,simultaneously.The example of electronic packaging problem demonstrates that the proposed method is available and efficient.