有效地将顾客需求转换为产品工程特性和质量因素是现代企业在设计新产品时的一项重要任务。做为顾客驱动型的方法,质量功能展开(Quality function deployment,QFD)在产品的研发阶段将顾客需求传递给工程特性。工程特性目标值的确定一直...有效地将顾客需求转换为产品工程特性和质量因素是现代企业在设计新产品时的一项重要任务。做为顾客驱动型的方法,质量功能展开(Quality function deployment,QFD)在产品的研发阶段将顾客需求传递给工程特性。工程特性目标值的确定一直是质量功能展开研究的热点问题。考虑到工程特性目标值的确定实质上是一个多目标优化问题,以各个优化目标为博弈方,建立了解决多目标优化问题的Nash议价模型。最后,以汽车设计为例,说明了所建模型的可行性和有效性。展开更多
A generalization of the usual Green function to a kind of nonlinear elliptic equation of divergence form is discussed. The regularity and comparison principle of Green function in the sense of distribution are shown.
The generalized Nash equilibrium problem （GNEP） is a generalization of the standard Nash equilibrium problem （NEP）, in which both the utility function and the strategy space of each player depend on the strategies...The generalized Nash equilibrium problem （GNEP） is a generalization of the standard Nash equilibrium problem （NEP）, in which both the utility function and the strategy space of each player depend on the strategies chosen by all other players. This problem has been used to model various problems in applications. However, the convergent solution algorithms are extremely scare in the literature. In this paper, we present an incremental penalty method for the GNEP, and show that a solution of the GNEP can be found by solving a sequence of smooth NEPs. We then apply the semismooth Newton method with Armijo line search to solve latter problems and provide some results of numerical experiments to illustrate the proposed approach.展开更多
K hler流形间的全纯等距嵌入问题是多复变领域的热点问题之一。单项式多面体是Hartogs三角形的非平凡推广,研究其与复欧氏空间是否具有公共子流形是有意义的。借助Nash函数的性质及二维单项式多面体的Bergman核函数,得到具有Bergman度...K hler流形间的全纯等距嵌入问题是多复变领域的热点问题之一。单项式多面体是Hartogs三角形的非平凡推广,研究其与复欧氏空间是否具有公共子流形是有意义的。借助Nash函数的性质及二维单项式多面体的Bergman核函数,得到具有Bergman度量的二维单项式多面体与具有平坦度量的复欧氏空间不存在公共的K hler子流形,即二维单项式多面体与复欧氏空间是不相关的。展开更多
文摘有效地将顾客需求转换为产品工程特性和质量因素是现代企业在设计新产品时的一项重要任务。做为顾客驱动型的方法,质量功能展开(Quality function deployment,QFD)在产品的研发阶段将顾客需求传递给工程特性。工程特性目标值的确定一直是质量功能展开研究的热点问题。考虑到工程特性目标值的确定实质上是一个多目标优化问题,以各个优化目标为博弈方,建立了解决多目标优化问题的Nash议价模型。最后,以汽车设计为例,说明了所建模型的可行性和有效性。
基金Supported by Beijing Jiaotong University Science Research Foundation (2004SM056)
文摘A generalization of the usual Green function to a kind of nonlinear elliptic equation of divergence form is discussed. The regularity and comparison principle of Green function in the sense of distribution are shown.
文摘The generalized Nash equilibrium problem （GNEP） is a generalization of the standard Nash equilibrium problem （NEP）, in which both the utility function and the strategy space of each player depend on the strategies chosen by all other players. This problem has been used to model various problems in applications. However, the convergent solution algorithms are extremely scare in the literature. In this paper, we present an incremental penalty method for the GNEP, and show that a solution of the GNEP can be found by solving a sequence of smooth NEPs. We then apply the semismooth Newton method with Armijo line search to solve latter problems and provide some results of numerical experiments to illustrate the proposed approach.
