| 参数多目标优化问题敏感分析 |
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| 引用本文： | 万莉娟,朱婧,高艳林. 参数多目标优化问题敏感分析[J]. 齐齐哈尔轻工业学院学报, 2010, 0(2): 82-85 |
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| 作者姓名： | 万莉娟 朱婧 高艳林 |
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| 作者单位： | [1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006 [2]齐齐哈尔市第十五中学,黑龙江齐齐哈尔161005 |
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| 基金项目： | 齐齐哈尔大学青年教师科研启动支持计划项目 |
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| 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属于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。
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| 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 |
The sensitivity analysising the problem of parametrized multiobjective optimization |
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| WAN Li-juan,ZHU Jing,GAO Yan-lin. The sensitivity analysising the problem of parametrized multiobjective optimization[J]. , 2010, 0(2): 82-85 |
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| Authors: | WAN Li-juan ZHU Jing GAO Yan-lin |
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| Affiliation: | 1.College of Science,Qiqihar University,Heilongjiang Qiqihar 161006,China;2.No.15 Middle School of Qiqihar,Heilongjiang Qiqihar 161005,China) |
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| Abstract: | 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. |
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| Keywords: | parametric multiobjective optimization contingent epiderivative sensitivity analysis pseudo-Lipschitz property |
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