On multiobjective fractional programs with vanishing constraints

被引：0

作者：

Laha, Vivek ^{[1
]}

Singh, Harsh Narayan ^{[1
]}

Mohapatra, Ram ^{[2
]}

机构：

[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, India

[2] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

RAIRO-OPERATIONS RESEARCH | 2024年 / 58卷 / 06期

关键词：

Fractional programming; multiobjective optimization; vanishing constraints; generalized convexity; optimality conditions; duality results; OPTIMALITY CONDITIONS; MATHEMATICAL PROGRAMS; DUALITY;

D O I：

10.1051/ro/2024163

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：

The aim of this article is to combine the study of fractional programming and mathematical programs with vanishing constraints for the first time in literature. This paper deals with multiobjective fractional programs with vanishing constraints (MFPVC) involving continuously differentiable functions. Necessary and sufficient optimality conditions are derived for a feasible point to be an efficient (or local efficient) solution of the (MFPVC). A parametric dual model has been formulated and duality results are established with the primal (MFPVC).

引用

页码：4701 / 4716

页数：16

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