NECESSARY CONDITIONS FOR NONLINEAR SUBOPTIMIZATION OVER THE WEAKLY-EFFICIENT SET

被引：15

作者：

BOLINTINEANU, S

机构：

[1] Université de Perpignan, Perpignan

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1993年 / 78卷 / 03期

关键词：

MULTIOBJECTIVE OPTIMIZATION; GLOBAL OPTIMIZATION; NONLINEAR PROGRAMMING; NONCONVEX PROGRAMMING; STABILITY; SENSITIVITY ANALYSIS;

D O I：

10.1007/BF00939883

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The optimization problem of a nonlinear real function over the weakly-efficient set associated to a nonlinear multi-objective program is examined. Necessary first-order conditions for a suboptimal solution are proposed, assuming the convexity of the multi-objective program. Estimations of the optimal value are established and an algorithm for finding suboptimal solutions is proposed. The optimal value is approximated to any prescribed degree of accuracy using a weakly-efficient suboptimal solution.

引用

页码：579 / 598

页数：20