The Optimal Conditions of the Linear Fractional Programming Problem with Constraint

Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (4): 553-556.

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)；

Abstract

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

CLC Number:

O221.1

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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The Optimal Conditions of the Linear Fractional Programming Problem with Constraint

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