基于竞争博弈的多目标可靠性优化设计方法

摘要

针对目标权重选取的主观性问题,提出基于竞争博弈进行多目标可靠性优化设计的方法.首先,将各设计目标视为不同的博弈方,通过随机设计变量集映射(RDVSM)技术,将优化模型中的随机设计变量集分解为各博弈方所拥有的策略集;然后,各博弈方以自身收益为目标,结合性能测量方法在各自的策略集中进行单目标可靠性优化设计,并由所有的优化设计结果形成一轮博弈的策略组合;经过多轮博弈之后得博弈均衡解.压力容器和齿轮减速器2个案例的分析表明,所提方法有效避免了目标权重的选择,设计结果具有较高客观性.%Aimed at the subjectivity of the selection of target weights, multi-objective reliability design optimization approach based on competition game is proposed.In this approach,every design objective is trea-ted as the corresponding game player,and the random design variable set is decomposed into multiple strategy sets that are allocated to the corresponding player through the random design variable set mapping(RDVSM) technology.Then,combined with the performance measurement analysis method,every player takes its payoff as the single objective function for the reliability design optimization in its own strategy set,and the optimal re-sults of all players form a group of strategies in this game round.After multi-round games,the equilibrium so-lution of the game is acquired.The study of a pressure vessel case and a gear reducer case shows that the pro-posed approach avoids the selection of target weights,and the design results have high objectivity.