摘要
本文在较弱的广义凸性假定下讨论多目标规划的几种整体有效性．给出的定理统一了目前已有的一些关于多目标规划局部解为整体解的充分条件．
In this short technical note, we present five sufficient conditions to guarantee a local efficient (resp., weakly efficient, properly efficient in the sense of Benson, properly efficient in the sense of Borwein, properly efficient in the sense of Henig and properly efficient in the sense of Hartley) solution of a general multiobjective optimization problem to be a corresponding solution of the problem. These theorems generalize and unify several results existing in the field.
出处
《系统科学与数学》
CSCD
北大核心
1995年第1期30-32,共3页
Journal of Systems Science and Mathematical Sciences
关键词
多目标规划
有效解
整体解
局部解
Multiobjective optimization, global efficiency, generalized Aconvexity.
