节点文献
多目标优化问题有效解的一阶必要条件
FIRST-ORDER NECESSARY CONDITIONS FOR EFFICIENCY IN NONSMOOTH MULTIOBJECTIVE OPTIMIZATION PROBLEMS
【摘要】 本文研究一类满足等式、不等式及抽象集约束的多目标优化问题.我们引进一个约束品性条件,在此条件下得到了有效解的必要条件.同时我们也给出使得约束品性成立的充分条件.
【Abstract】 In this paper, an optimization problem that incorporates equality constraints, inequality constraints and an abstract constraint is considered. We introduce the first-order constraint qualifications which derive necessary conditions for efficiency under the constraint qualification. And we give the sufficient conditions to satisfy the constraint qualifications.
【关键词】 多目标优化问题;
有效解;
线性化锥;
切锥;
严格法锥;
约束品性;
【Key words】 Multiobjective optimization problems; Efficient solutions; The linearizing cone; The tangent cone; The strict normal cone; Constraint qualifications;
【Key words】 Multiobjective optimization problems; Efficient solutions; The linearizing cone; The tangent cone; The strict normal cone; Constraint qualifications;
- 【文献出处】 哈尔滨师范大学自然科学学报 ,Natural Science Journal of Harbin Normal University , 编辑部邮箱 ,2005年03期
- 【分类号】O224
- 【被引频次】1
- 【下载频次】110