| 一类多目标优化问题的有效性 |
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| 引用本文： | 赵克全,杨新民.一类多目标优化问题的有效性[J].运筹学学报,2011,15(3):1-8. |
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| 作者姓名： | 赵克全 杨新民 |
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| 作者单位： | 1. 重庆师范大学
2. 重庆师范大学数学科学学院 |
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| 基金项目： | the National Natural Science Foundation of China(10831009); the Natural Science Foundation Project of Chongqing(2011BA0030); the Special Fund of Chongqing Key Laboratory; the Education Committee Research Foundation of Chongqing(KJ110625) |
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| 摘 要： | 本文研究了一类带不等式约束的多目标优化问题，给出了该类问题的有效解的一些充分必要条件，在适当条件下利用线性标量化方法证明了其有效解和真有效解的等价性。本文的主要结论是对最近一些文献中相应结果的改进与推广。
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| 关 键 词： | ,多目标优化,$\eta-$伪线性,有效解,真有效解, |
| 收稿时间： | 2011-04-13 |
| 修稿时间： | 2011-06-19 |
Efficiency for a Class of Multiobjective Optimization Problems |
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| ZHAO Kequan,YANG Xinmin.Efficiency for a Class of Multiobjective Optimization Problems[J].OR Transactions,2011,15(3):1-8. |
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| Authors: | ZHAO Kequan YANG Xinmin |
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| Institution: | ZHAO Kequan YANG Xinmin 1.College of Mathematics Science,Inner Mongolia University,Inner Mongolia 010021,China 2.College of Mathematics Science,Chongqing Normal University,Chongqing 400047,China |
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| Abstract: | In this paper,a class of multiobjective optimization problems in which involved inequality constraints is considered.The necessary and sufficient conditions are established for an efficient solution.Moreover,the equivalence is proved between efficiency and properly efficiency by linear scalarization method under some suitable conditions.Our results improve and extend some previously known results. |
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| Keywords: | multiobjective optimization η-pseudolinearity efficient solution properly efficient solution |
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