一类多目标分式规划问题的ε-弱有效解的最优性条件和对偶  

Optimality Conditions and Duality of ε-Weak Efficient Solutions for a Class of Multiobjective Fractional Programming

作　　者：刘三明[1] 冯恩民[1] 

机构地区：[1]大连理工大学应用数学系

出　　处：《运筹与管理》2004年第6期16-21,79,共7页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(19871009)

摘　　要：本文对一类具有不可微凸不等式约束,线性等式约束和抽象约束的不可微多目标分式规划问题,给出了其ε 弱有效解的必要条件和充分条件,在此基础上,构造出了一种对偶模型,并证明了相应的对偶定理。In this paper, necessary and sufficient conditions are derived for ε-weak efficient solutions of nondifferentiable multi-objective fractional programming subject to nondifferentiable convex inequality constraints, linear equality constraints and abstract constraints. Based on these, one duality model is constructed and appropriate duality theorems are proved.

关 键 词：ε-弱有效解 ε-次微分 最优性条件 对偶 

分 类 号：O221.6[理学—运筹学与控制论]