基于合作博弈的公差稳健设计方法

Robust Tolerance Design Method Based on Cooperative Game

结合合作博弈理论和装配产品公差稳健设计建模,提出一种基于Nash仲裁均衡的公差稳健设计方法.首先将考虑稳健设计要求的装配产品质量与成本视为多目标优化对象,通过建立博弈决策方、效用函数,对各博弈方策略进行归属分类,将装配质量和成本多目标优化问题转化为多目标博弈决策问题,并建立相应的博弈模型及效用矩阵,最后采用合作博弈中的Nash仲裁法进行优化求解.该方法应用于车身前端装配总成的公差设计案例,通过与单目标优化方法比较,说明了其工程应用的有效性.

This paper proposed a robust tolerance design method combining the Nash bargaining analysis in the cooperative game theory and the modeling of robust tolerance design for assembly products.First,the assembly quality and cost considering the robust design request are considered to be the multi-objective optimization objectives.Then a game model is established by identifying the players,the payoff functions and classifying the players＇ strategies.Finally,the Nash bargaining method of the cooperative game theory is given.This method is applied to an example of vehicle front structure assembly.The result of the game method compared with the single objective optimization methods shows the feasibility of the procedure in engineering application.