基于混合博弈的产品多学科柔性设计决策

摘要

针对产品多学科多目标的设计决策问题,给出了一种融合博弈论和柔性机制进行建模和求解的方法.通过混合博弈来表征学科之间及目标之间的耦合关系,提出了混合博弈模型框架及求解方法.考虑到不确定性和变化的影响,为使产品设计决策具有柔性,引入性能水平满意度函数来柔性表达设计要求,并寻求设计变量的柔性范围解来替代固定值的点解,从而增加产品的柔性;柔性范围解处于可行设计空间内,使各学科性能处于满意水平并靠近期望值,且具有较好的稳定性.利用概率分布对相应的性能变化进行建模,引入设计偏好指数对柔性设计方案进行评价.最后通过减速器算例的设计来验证该方法的可行性和有效性.%For the problems of multidisciplinary and multiobjective design and decision,a novel method was given using game theory and flexibility mechanism to model and solve the problems.The coupling relations among disciplines or targets were presented by mixed game,and the mixed game model framework and the corresponding solving methods were proposed.Considering the influences of uncertainty and changes,in order to make the design and decision be flexible,the satisfaction function of performance was introduced to express the flexible design requirements,and the flexible range so-lutions of design variables were sought rather than a point solution to increase product flexibility.The flexible range solutions were in the feasible design spaces,where every discipline's performances were satisfactory and close to the expected values and had good stability.Probabilistic representation was used to model the corresponding design performance changes,and design preference index (DPI)was introduced to evaluate the flexible design.Finally,a gear reducer design example was given to verify the feasibility and effectiveness of the proposed method.