带有约束线性分式规划问题的最优性条件

数学季刊 ›› 2006, Vol. 21 ›› Issue (4): 553-556.

带有约束线性分式规划问题的最优性条件

1. Department of Mathematics,Jiaozuo Teacher's College 2. Department of Mathematics,Zhengzhou University

收稿日期:2003-12-17 出版日期:2006-12-30 发布日期:2023-11-21
作者简介:SUN Jian-she(1965-),male,native of Wuzhi,Henan,an associate professor of Jiaozuo Teachers College,M.S.D.,engages in mathematical inequalities and theory of special functions and its applications;YE Liu-qing(1965),male,native of Runan,Henan,an associate profesor of Jiaozuo Teacher's Collge,M.S.D., engages in nonlinear programming.
基金资助:
Supported by the Natural Science Foundation of Henan Province(0511012000 0511013600)； Supported by the Science Foundation for Pure Research of Natural Science of the Education Department of Henan Province(200512950001)；

The Optimal Conditions of the Linear Fractional Programming Problem with Constraint

1. Department of Mathematics,Jiaozuo Teacher's College 2. Department of Mathematics,Zhengzhou University

Received:2003-12-17 Online:2006-12-30 Published:2023-11-21
About author:SUN Jian-she(1965-),male,native of Wuzhi,Henan,an associate professor of Jiaozuo Teachers College,M.S.D.,engages in mathematical inequalities and theory of special functions and its applications;YE Liu-qing(1965),male,native of Runan,Henan,an associate profesor of Jiaozuo Teacher's Collge,M.S.D., engages in nonlinear programming.
Supported by:
Supported by the Natural Science Foundation of Henan Province(0511012000 0511013600)； Supported by the Science Foundation for Pure Research of Natural Science of the Education Department of Henan Province(200512950001)；

摘要/Abstract

摘要： In this article,the authors discuss the optimal conditions of the linear fractional programming problem and prove that a locally optional solution is a globally optional solution and the locally optimal solution can be attained at a basic feasible solution with constraint condition.

关键词: linear , , fractional , , programming , , problem;pseudo-convex , , function;optimal , , solu-
tion;constraint

Abstract: In this article,the authors discuss the optimal conditions of the linear fractional programming problem and prove that a locally optional solution is a globally optional solution and the locally optimal solution can be attained at a basic feasible solution with constraint condition.

Key words: linear , , fractional , , programming , , problem;pseudo-convex , , function;optimal , , solu-
tion;constraint

中图分类号:

O221.1

孙建设, 叶留青. 带有约束线性分式规划问题的最优性条件[J]. 数学季刊, 2006, 21(4): 553-556.

SUN Jian-she, YE Liu-qing. The Optimal Conditions of the Linear Fractional Programming Problem with Constraint[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(4): 553-556.

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