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| 1 | 基于混合行为博弈的多目标仿生设计方法显示文摘将多个设计目标视为不同的博弈方,通过计算设计变量对目标函数的影响因子和模糊聚类,将设计变量集合分割为各博弈方拥有的策略空间.对蜥蜴种群的繁衍生存机理进行仿生,将3种蜥蜴的行为方式分别定义为利己主义、集体主义和投机主义,并赋予相应的博弈方,各博弈方根据所仿生蜥蜴的行为特点,建立自身博弈得益函数与目标函数之间的映射关系.各博弈方分别以自身博弈得益函数为目标,在各自的策略空间中进行单目标优化,获得本博弈方对其余博弈方的最佳对策,所有博弈方的最佳对策形成一轮博弈的策略组合,并根据收敛判别,通过多轮博弈,获得最终的博弈解.以白鹤滩拱坝体型的三目标优化设计为例,设计结果显示坝体体积方量减少了16.412万方,或2.38%;最大主拉应力降低了0.036MPa,或0.31%;整体应变能下降了0.167GJ,或4.47%,体现了基于混合行为博弈方式的多目标仿生设计方法的有效性. | 谢能刚 岑豫皖 孙林松 王璐 | 2008 | 力学学报2008，40，2： | 6 |
| 2 | 基于博弈分析的产品多目标设计问题的求解方法显示文摘将博弈论应用于多学科多目标设计决策问题中,根据各博弈方策略集划分情况,分别构建基于合作博弈、非合作博弈和混合博弈等多目标设计决策模型,并探讨各种模型的求解方法.合作博弈模型的求解是先通过正交约束法获得Pareto前沿,然后基于合作博弈模型在Pareto解集中选取均衡解;非合作博弈的求解是先构建各博弈方的理性响应集,然后通过求交集来获得均衡解;混合博弈则是合作和非合作博弈的综合,用于单独采用合作或非合作博弈模型不适用的情形.最后以汽车盘式制动器的设计为例证明了本文方法的可行性和有效性. | 陈亮 黄亚庆 刘丹 | 2015 | 中国工程机械学报2015，13，3： | 5 |
| 3 | 机电产品模块化设计重用的博弈决策显示文摘提出一种基于博弈论思想的机电产品模块化设计重用的多目标决策方法。将机电产品各模块变量分类、重新组合转化为各设计需求,构建了模块化设计重用策略空间的基本方法。建立了考虑设计变量和模块对设计需求重要性的博弈方收益函数。在此基础上,分别建立了合作博弈、非合作博弈和混合博弈的模块化设计重用决策数学模型,给出了统一的目标函数和求解方法。以小型健身器材的模块化设计重用作为例子,验证了所建立方法的可行性和有效性。 | 卢纯福 柴灏 | 2019 | 浙江工业大学学报2019，47，4： | 4 |
| 4 | 基于Nash均衡博弈模型的铣削参数多目标优化设计显示文摘采用铣削加工的单件生产时间和单件生产成本为目标函数,建立铣削参数的多目标优化模型。运用多目标博弈设计方法,将2个设计目标视为2个博弈方,将设计变量集合分解为各博弈方拥有的策略空间。采用Nash均衡博弈模型,各博弈方分别以自身博弈得益函数为目标,在各自的策略空间中进行单目标优化,获得本博弈方对其余博弈方的最佳对策,所有博弈方的最佳对策形成一轮博弈的策略组合,并根据收敛判别,通过多轮博弈,获得最终的博弈解。对实际算例进行了设计,计算结果显示了博弈方法的有效性。 | 徐立哲 岑豫皖 谢能刚 韩延祥 | 2009 | 装备制造技术2009，，9： | 1 |
| 5 | The Coalition Cooperative Game Method and Its Application in Multi-objective Optimization Design显示文摘This paper proposes a multi-objective optimization design method based on the coalition cooperative game theory where the three design goals have been seen as three game players.By calculating the affecting factors and fuzzy clustering,the design variables are divided into different strategic spaces which belong to each player,then it constructs a payoff function based on the coalition mechanism.Each game player takes its own revenue function as a target and obtains the best strategy versus other players.The best strategies of all players consist of the strategy permutation of a round game and it obtains the final game solutions through multi-round games according to the convergence criterion.A multi-objective optimization example of the luff mechanism of compensative sheave block shows the effectiveness of the coalition cooperative game method. | LI Bi-yan | 2011 | International Journal of Plant Engineering and Management2011，16，2： | 1 |
| 6 | Target Path Tracking Method of Intelligent Vehicle Based on Competitive Cooperative Game显示文摘To improve intelligent vehicle drive performance and avoid vehicle side-slip during target path tracking,a linearized four-wheel vehicle model is adopted as a predictive control model,and an intelligent ve-hicle target path tracking method based on a competitive cooperative game is proposed.The design variables are divided into different strategic spaces owned by each player by calculating the affecting factors of the design variables with objective functions and fuzzy clustering.Based on the competitive cooperative game model,each game player takes its payoff as a mono-objective to optimize its own strategic space and obtain the best strategy to deal with others.The best strategies were combined into the game strategy set.Considering the front wheel angle and side slip angle increment constraint,tire side-slip angle,and tire side slip deflection dynamics,it took the path tracking state model was used as the objective,function and the calculation was validated by competitive cooperative game theory.The results demonstrated the effectiveness of the proposed algorithm.The experimental results show that this method can track an intelligent vehicle quickly and steadily and has good real-time per-formance. | SONG Chongzhi NIU Limin | 2022 | Instrumentation2022，9，1： | 0 |
| 7 | 基于共谋合作机制的补偿滑轮组变幅机构多目标博弈设计显示文摘综合考虑稳定性和经济性等多目标设计要求,建立补偿滑轮组变幅机构的多目标优化设计模型。提出多目标共谋合作博弈设计方法,将3个设计目标视为3个博弈方,将设计变量集合分解为各博弈方拥有的策略空间。根据共谋机制,建立博弈得益函数,各博弈方分别以自身博弈得益函数为目标,在各自的策略空间中进行单目标优化,获得本博弈方对其余博弈方的最佳对策,所有博弈方的最佳对策形成一轮博弈的策略组合,并根据收敛判别,通过多轮博弈,获得最终的博弈解。对实际算例进行了三目标博弈设计,计算结果显示了共谋合作博弈方法的有效性。 | 李碧研 谢能刚 孟瑞 | 2011 | 机械科学与技术2011，30，10： | 0 |
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