具有(F,α,ρ,d)-V-凸的非光滑多目标分式规划的最优性条件和对偶性  

Optimality Conditions and Duality for Nonsmooth Multiobjective Fractional Programming Problems with (F,α,ρ, d)-V-Convex Functions

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：《运筹学学报》2005年第4期49-59,共11页Operations Research Transactions

基　　金：国家自然科学基金(19871009).

摘　　要：本文考虑了一类非光滑多目标分式规划问题,该多目标分式规划问题中所出现的函数是局部Lipschitz的．对该类多目标分式规划问题,引入了(F,α,ρ,d)-V-凸函数的概念,证明了有效解的充分条件和必要条件,构造出了一种参数对偶模型和一种半参数对偶模型,并证明了相应的对偶定理．In this paper, a class of nonsmooth multiobjective in which functions are locally Lipschitz are considered fractional programming problems For this class of multiobjective fractional programming problems, the concept of （F,α,ρ, d）-V-Convex function is introduced, and sufficient conditions and necessary conditions of efficient solutions are proved. Moreover, a parametric duality model and a semiparametric duality model are constructed and appropriate duality theorems are proved.

关 键 词：运筹学 非光滑函数 多目标分式规划 最优性条件 广义凸函数 对偶定理 

分 类 号：O221[理学—运筹学与控制论] O221.2[理学—数学]