Duality without a constraint qualification for minimax fractional programming

被引：14

作者：

Lai, HC ^{[1
]}

Liu, JC

Tanaka, K

机构：

[1] I Shou Univ, Dept Appl Math, Kaohsiung, Taiwan

[2] Natl Overseas Chinese Student Univ, Sect Math, Linkou, Taiwan

[3] Niigata Univ, Dept Math, Niigata, Japan

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1999年 / 101卷 / 01期

关键词：

generalized fractional programming; cone of directions; duality;

D O I：

10.1023/A:1021771011210

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Using a parametric approach, we establish the necessary and sufficient conditions for generalized fractional programming without the need of a constraint qualification. Subsequently, these optimality criteria are utilized as a basis for constructing a parametric dual model and two other parameter-free dual models. Several duality theorems are established.

引用

页码：109 / 125

页数：17

共 19 条

[1]

Bector C. R., 1994, Optimization, V30, P93, DOI 10.1080/02331939408843974

[2]

BECTOR CR, 1988, ASIA PAC J OPER RES, V5, P134

[3] GENERALIZED FRACTIONAL-PROGRAMMING DUALITY - A PARAMETRIC APPROACH [J].