期刊文献+

参数多目标优化问题敏感分析 被引量:1

The sensitivity analysising the problem of parametrized multiobjective optimization
下载PDF
导出
摘要 对于参数向量优化问题minK{f(ω,x)x∈G(ω)},其中f:W×X→Y是从赋范空间W和X的积到另一个赋范空间Y的Hadamard可微的单值映射,G:W→X是一个集值映射,K?Y是一个尖闭凸锥。应用集值映射的余切上图导数进行了灵敏度分析。 Consider the parametrized minimization problem minK {f(w,x)|x ∈G(w)},wheref:W×X → Y is a Hadamard-differentiable single-valued map from the product of two normed spaces W and X to another normed space Y,G:W → X is a feasible set-valued map,and K belong to Y is a convex closed pointed cone.We study sensitivity analysis by useing contingent epiderivative of set-valued map.
出处 《齐齐哈尔大学学报(自然科学版)》 2010年第2期82-85,共4页 Journal of Qiqihar University(Natural Science Edition)
基金 齐齐哈尔大学青年教师科研启动支持计划项目
关键词 参数多目标优化 余切上图导数 敏感分析 伪李普希兹性质 parametric multiobjective optimization contingent epiderivative sensitivity analysis pseudo-Lipschitz property
  • 相关文献

参考文献6

  • 1Aubin J 'P. Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions[M]//Nachbin L. Mathematical analysis and applications, part A. New York: Academic Press, 1981 : 160-122. 被引量:1
  • 2Aubin J P, Frankowska H. Set-valued Analysis[M]. Basel: Birkhauser, 1990. 被引量:1
  • 3Penot J P. Central and peripheral results in the study of marginal and performance functions, Mathematical Programming with Data Perturbations[C]//Lecture Notes in Pure and Applied Mathematics. New York: Marcel Dekker Inc. 1997 : 238-246. 被引量:1
  • 4Bednarczuk E, Song W. Contingent epiderivative and its applications to set-valued optimization[J]. Control and Cybernetics, 1998, 27: 376-386. 被引量:1
  • 5万莉娟.不等式约束的向量优化中值映射的余切上图导数[J].大学数学,2007,23(2):117-121. 被引量:4
  • 6Y Sawaragi, H Nakayama, T Tanino. Theory of Muhiobjective optimization[M]. New York: Academic Press, 1985. 被引量:1

二级参考文献9

  • 1宋文,万利娟.向量优化中值映射的余切上图可微性(英文)[J].黑龙江大学自然科学学报,2005,22(2):198-203. 被引量:16
  • 2Aubin J P.Contingent derivatives of set-valued maps and existence of solutions to nonlinear inclusions and differential inclusions[A].Nachbin L.Mathematical analysis and applications,part A[C].Academic Press,1981:160-122. 被引量:1
  • 3Aubin J P and Frankowska H.Set-valued analysis[M].Basel:Birkhauser,1990. 被引量:1
  • 4Penot J P.Central and peripheral results in the study of marginal and performance functions,Mathematical Programming with Data Perturbations[A].Fiaco A V.Lecture Notes in Pure and Applied Mathematics Vol 195[C].New York:Marcel Dekker Inc,1997. 被引量:1
  • 5Bednarczuk E and Song W.Contingent epiderivative and its applications to set-valued optimization[J].Control and Cybernetics,1998,27(3):376-386. 被引量:1
  • 6Jahn J and Rauh R.Contingent epiderivatives and set-valued optimization[J].Math.Meth.Oper.Res.,1997,(46):193-211. 被引量:1
  • 7Tanino T.Sensitivity analysis in multiobjective optimization[J].J.Optim.Theory Appl.,1988,(56):479-499. 被引量:1
  • 8Rockafellar R T.Lipschitzian properties of multifunctions[J].Nonlinear Anal.1985,(9):867-885. 被引量:1
  • 9Sawaragi Y.Nakayama H and Tanino T.Theory of multiobjective optimization[M].New York:Academic Press,1985. 被引量:1

共引文献3

同被引文献2

引证文献1

二级引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部