多目标决策设计的博弈求解方法  

Game method for multiple-objective decision design

作　　者：陈忠[1,2] 谢能刚[3] 张子明[1] 

机构地区：[1]河海大学土木工程学院,江苏南京210098 [2]中天建设集团,浙江杭州310008 [3]安徽工业大学机械工程学院,安徽马鞍山243002

出　　处：《河海大学学报（自然科学版）》2009年第2期194-199,共6页Journal of Hohai University(Natural Sciences)

基　　金：教育部科学技术研究重点基金(207050);安徽省自然科学基金(070414174);安徽高校省级自然科学研究重点基金(2006KJ001A)

摘　　要：提出多目标决策设计的博弈求解方法,给出多目标问题的博弈描述,通过计算影响因子和模糊聚类,将设计变量集合分解为各博弈方拥有的策略空间.分别采用Nash均衡模型、Stackelberg寡头模型和共谋合作模型求解多目标决策设计问题,并给出相应的技术步骤.对一数值算例和补偿滑轮组变幅机构进行了多目标博弈求解,计算结果证明了博弈求解方法的有效性和可靠性.A game method is put forward for multiple-objective design. The game description for multi-objective problems is also presented. Based on calculation of the impact factors and the fuzzy clustering, the design variable assembly was divided into strategic sets possessed by all the game players. The Nash equilibrium model, Stackelberg oligarch model and conspiring cooperative model were employed to solve the multi-objective design problem, and the corresponding technical procedures. The multi-objective design was performed for a numerical case and a compensative sheave block structure. The results show that the present game method is feasible and effective in solving multi-objective problems.

关 键 词：多目标决策 NASH均衡博弈 STACKELBERG博弈 共谋合作博弈 

分 类 号：O224[理学—运筹学与控制论]