| Pareto最优解的充分及必要条件 |
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| 引用本文： | 张连文,夏人伟.Pareto最优解的充分及必要条件[J].北京航空航天大学学报,1997,23(2):200-205. |
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| 作者姓名： | 张连文 夏人伟 |
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| 作者单位： | 北京航空航天大学飞行器设计与应用力学系 |
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| 摘 要： | 对多目标优化问题不需目标函数的凸性和二次可微性的假设，在约束区域具有严格点凸性的条件下，证明了Ｋｕｈｎ－Ｔｕｃｋｅｒ条件是严格局部Ｐａｒｅｔｏ最优解的必要的充分条件，并以若干例子说明其适用性。
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| 关 键 词： | Pareto最优 多目标优化 最优化 K－T条件 |
ON NECESSARY AND SUFFICIENT PARETO OPTIMALITY CONDITIONS IN VECTOR OPTIMIZATION |
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| Zhang Lianwen\ \ Xia Renwei.ON NECESSARY AND SUFFICIENT PARETO OPTIMALITY CONDITIONS IN VECTOR OPTIMIZATION[J].Journal of Beijing University of Aeronautics and Astronautics,1997,23(2):200-205. |
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| Authors: | Zhang Lianwen\ \ Xia Renwei |
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| Abstract: | Multiobjective optimization problem in finite dimensional spaces without requiring the convexity or C 2 differentiability of multiobjective functions was considered.under the condition for strictly point convexity,we have proved that Kuhn Tucker condition is necessary and sufficient for a strict local Pareto optimum.Its applicability was illustrated by examples. |
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| Keywords: | Pareto optimal multiple objectives optimization Kuhn Tucker condition |
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