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局部紧拓扑线性空间多目标最优化问题的灵敏度分析 被引量：1

SENSITIVITY ANALYSIS OF MULTIOBJECTIVE OPTIMIZATION IN LOCALLY COMPACT TOPOLOGICAL VECTOR SPACE
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摘要 利用局部紧的条件 ,将多目标优划问题的灵敏度分析由度量空间推广到拓扑线性空间 ,得到了更一般的结果。 The paper investigates sensitivity analysis of multiobjective optimization in locally compact topological vector spaces instead of metric spaces and obtains much more general results.
作者 王政民 宋军
机构地区 南昌大学基础课部
出处 《南昌大学学报（理科版）》 CAS 北大核心 2002年第2期162-166,共5页 Journal of Nanchang University(Natural Science)
关键词 局部紧拓扑线性空间 灵敏度分析 多目标最优化 切导数 扰动函数 集值映射 sensitivity analysis multiobjective optimization topological vector space contigent derivative
分类号 O189.11 [理学—基础数学] O221.6 [理学—运筹学与控制论]
  • 相关文献

参考文献7

  • 1[1]Tanino T.Sensitivity Analysis in Multiobjective Optimization[J].Journal of Optimization Theory and Application,1988,56:479-499.
  • 2[2]Shi D S.Contigent Derivative of the Perturbation in Multiobjective Optimization[J].Journal of Optimization Theory and Application,1991,70:385-396.
  • 3[3]Kuk H,Tanino T and Tanaka M.Sensitivity Analysis in Vector Optimization[J].Journal of Optimization Theory and Allpication,1996,89:713-730.
  • 4[4]SHI D S.Sensitivity Analysis in Convex Vector Optimization[J].Journal of Optimization Theory and Application,1993,77:145-159.
  • 5[5]Kuk H,Tanino T and Tanaka M.Sensitivity Analysis in Parametrized Convex Vector Optimization[J].Journal of Optimization Theory and Application,1996,202:511-522.
  • 6[6]Aubin J P and Ekeland I.Applied Nonlinear Analysis[M].John Wiley,New York,1984.
  • 7[7]Barbu V and Precupaanu.Convexity and Optimization in Banach Space[M].Romania Editura Academici Ducuresti,1984.

同被引文献7

  • 1JOHANNKS, JAHN. Mathmatieal Vector Optimization in partially Ordered Linear Spaces[M]. Frankfurt am Main. Bern. New York, 1986.
  • 2TANINO,T. Sensitivity Analysis in Multiobjective Optimization[J]. Journal of Optimization Theroy and Application, 1988, Vol. 56.
  • 3SHI,D. S. Contigent Derivative of the Perturbation in Multiobjective Optimization[J]. Journal of Optimization Theroy and Application, 1991, Vol.70.
  • 4H. KUK, T. TANINO, and M. TANAKA. Sensitivity Analysis in Vector Optimization[J]. Journal of Optimization Theroy and Application,. 1996, Vol.89.
  • 5SHI, D. S., Sensitivity Anlysis in Convex Vector Optimization. Journal of Optimization Theroy and Application[J]. 1993, Vol. 77.
  • 6H. KUK, T. TANINO, and M. TANAKA, Sensitivity Analysis in Parametrized Convex Vector Optimization[J]. Journal of Optimization Theroy and Application, 1996, Vol. 202.
  • 7AUBIN,J.P. ,and EKELAND,I. Applied Nonlinear Anlysis[M]. John Wiley, New York, 1984.

引证文献1

南昌大学学报（理科版）
2002年 第2期

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