一类多目标非线性优化问题  

Optimality Conditions in Nondifferentiable Multi-objective Programming

作　　者：朱伟芬[1] 陈雄达[1] 

机构地区：[1]同济大学数学系,上海200092

出　　处：《上海第二工业大学学报》2011年第2期106-112,共7页Journal of Shanghai Polytechnic University

摘　　要：多目标最优化问题广泛应用于工程技术、经济管理等诸多领域。许多数学工作者致力于多目标最优化理论的研究,给出了多目标优化问题最优解的必要条件和充分条件。近年来,广义凸函数也越来越受到人们的重视,人们从不同的角度提出了广义凸函数的概念。在文献提出的非线性多目标优化问题的研究基础上,给出了在常秩约束规范(CRCQ)下,这一类优化问题最优解的必要条件和充分条件。The multi-objective optimization problems are widely used in engineering,economic management and so on.Many mathematicians committed to the research of multi-objective optimization theory,and necessary and sufficient conditions of the optimal solution of multi-objective optimization are given.In recent years,generalized convex functions play a more important role and many generalized convex functions are generalized from different perspectives.In this paper,necessary and sufficient conditions of the optimal solution of some multi-objective optimization which was proposed in literature under Constant Rank Constraint Qualification（CRCQ） are given.

关 键 词：PARETO最优解 G-invex KKT条件 CRCQ 

分 类 号：O224[理学—运筹学与控制论]