B_ε-不变凸分式半无限规划的ε-最优性  

ε-Optimality Conditions for a Class of Fractional Semi-Infinite Programming with B_ε-Invex Functions

作　　者：杨勇[1] 

机构地区：[1]陕西科技大学理学院,西安710021

出　　处：《西南大学学报（自然科学版）》2009年第9期58-60,共3页Journal of Southwest University(Natural Science Edition)

基　　金：国家天元基金资助项目(A0524602);陕西科技大学自然科学基金资助项目(ZX06-30)

摘　　要：首次引入了Bs-不变凸函数、Bs-不变拟凸函数和Bs-不变伪凸函数等概念,对已有的凸函数进行了推广,并研究了涉及这类函数的一类分式半无限规划的ε-最优性,得到了一些有意义的结果.这些结果不仅是现有某些结果的推广,而且为诸如资源分配问题、投资组合等问题的研究提供了依据,也为理论上研究分式规划提供了参考.Some classes of Bs -invex function, Bs -invex quasi function and Bs -invex pseudo function are defined, which generalize some of the present convex functions. A class of fractional semi-infinite programming involving these generalized convex functions is studied, and some interesting ε-optimality conditions are obtained. The results obtained not only extend several present researches, but also can be applied to the questions in resource allocation, stock cutting problem in paper industry, agricultural planning and portfolio selection. Theoretically, they are helpful to studying fractional semi-infinite programming.

关 键 词：Bs-不变凸函数 Bs-不变拟凸函数 Bs-不变伪凸函数 ε-最优性 分式半无限规划 

分 类 号：O221.2[理学—运筹学与控制论]