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Pareto 最优解的充分及必要条件
ON NECESSARY AND SUFFICIENT PARETO OPTIMALITY CONDITIONS IN VECTOR OPTIMIZATION
【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最优解的必要和充分条件,并以若干例子说明其适用性.
【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.
【关键词】 Pareto最优;
多目标优化(数学);
最佳化;
Kuhn-Tucker条件;
【Key words】 Pareto optimal; multiple objectives; optimization; Kuhn Tucker condition;
【Key words】 Pareto optimal; multiple objectives; optimization; Kuhn Tucker condition;
【基金】 国家863-2资助
- 【文献出处】 北京航空航天大学学报 ,JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS , 编辑部邮箱 ,1997年02期
- 【分类号】O224
- 【被引频次】8
- 【下载频次】503