| 关于集值映射的相依导数与多目标最优化问题的灵敏度分析 |
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| 引用本文： | 宋军,龚循华.关于集值映射的相依导数与多目标最优化问题的灵敏度分析[J].运筹学学报,2004,8(3):10-18. |
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| 作者姓名： | 宋军 龚循华 |
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| 作者单位： | 南昌大学数理与管理科学学院,江西,330047 |
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| 基金项目： | ThisresearchwaspartiallysupportedbytheNaturalScienceFoundationofJiangxiProvince |
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| 摘 要： | 本文在序锥P具有弱紧基的条件下讨论了集值映射F的切导数与F P的切导数之间的关系；引进了集值映射的新的上半局部Lipschitz概念，利用这个概念，我们在有限维空间中给出了多目标最优化问题的灵敏度分析的一个新的结果.
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| 关 键 词： | 集值映射 多目标最优化 灵敏度 Lipschitz概念 切导数 |
On Contingent Derivative of the Set-Valued Map and Sensitivity Analysis in Multiobjective Optimization |
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| Abstract.On Contingent Derivative of the Set-Valued Map and Sensitivity Analysis in Multiobjective Optimization[J].OR Transactions,2004,8(3):10-18. |
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| Authors: | Abstract |
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| Abstract: | In this paper, we deal with the relationship between the contingent derivatives of set-valued map F and the contingent derivatives of F + P under the condition that the ordering cone P has a weakly compact base; and we introduce a new concept of upper locally Lipschitz, by the concept we obtain a new result about sensitivity analysis in multiobjective optimization in finite-dimensional Euclidean space. |
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| Keywords: | OR multiobjective optimization contingent derivatives sensitivity analysis |
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