用凸化子讨论不等式约束的多目标优化问题的最优性条件

J4 ›› 2012, Vol. 47 ›› Issue (10): 75-80.

用凸化子讨论不等式约束的多目标优化问题的最优性条件

田学全¹,徐述²

1.重庆科技学院数理学院, 重庆 401331; 2.重庆警察学院基础部, 重庆 401331

收稿日期:2011-01-10 出版日期:2012-11-20 发布日期:2012-10-26
作者简介:田学全(1972- ),男,讲师,研究方向为最优化理论. Email:tianxueq@126.com
基金资助:
重庆市教委资助项目(kj121404)

Optimality conditions for non-differentiable multi-objective programming in terms of convexificators

TIAN Xue-quan¹, XU Shu²

1. College of Mathematics and Science, Chongqing University of Science and Technology, Chongqing 401331, China;
2. The Department of Basic Education, Chongqing Police College, Chongqing 401331, China

Received:2011-01-10 Online:2012-11-20 Published:2012-10-26

摘要/Abstract

摘要：

对具有不等式约束的多目标优化(multiobjective programming,MP)问题,利用凸化子的概念,在广义Slater约束规格和广义线性独立约束规格下给出了必要条件,并将研究结果推广到多目标优化的情形。

关键词: 有效解;广义Slater约束规格;广义线性独立约束规格;凸化子;必要条件

Abstract:

For a non-differentiable multi-objective programming (MP) problem with inequality constraints, the necessary conditions were established under generalized Slater constraint qualification and generalized linear independence constraint qualification in terms of the concept of convexificators, and the results were extended to the multiobjective optimization.

Key words: efficient solution;generalized Slater constraint qualification; generalized linear independence constraint qualification; convexificator;necessary condition

田学全1,徐述2. 用凸化子讨论不等式约束的多目标优化问题的最优性条件[J]. J4, 2012, 47(10): 75-80.

TIAN Xue-quan1, XU Shu2. Optimality conditions for non-differentiable multi-objective programming in terms of convexificators[J]. J4, 2012, 47(10): 75-80.

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