求解交叉规划模型的一类联合均衡方法  

A joint equilibrium method for solving interaction programming models

作　　者：徐新生[1] 孙建武[1] 窦慧[1] 

机构地区：[1]滨州学院数学与信息科学系,山东滨州256603

出　　处：《山东大学学报（理学版）》2009年第6期51-55,共5页Journal of Shandong University(Natural Science)

基　　金：浙江省自然科学基金资助项目(060697);滨州学院科研基金资助项目(bzxykj0819)

摘　　要：引进了交叉规划模型中关于决策者最优个体值的均衡因子的概念,构造了一类求解交叉规划模型的联合均衡方法,给出了交叉规划模型基于该方法的联合最优解的定义、性质及求解方法,数值例子表明该方法对于求解交叉规划模型具有一定的有效性。By introducing the equilibrium factor about the optimal personal value of decision makers, we give a class of joint equilibrium methods for solving interaction programming models. Also, some properties, conceptions and solving methods of the optimal solution based on this method for interaction programming models are also discussed. A numerical example illustrates that this proposed method is efficient for solving interaction programming models.

关 键 词：交叉规划模型 Nash均衡解 均衡因子 联合最优解 

分 类 号：O22[理学—运筹学与控制论]