THE CHARACTERIZATION OF EFFICIENCY AND SADDLE POINT CRITERIA FOR MULTIOBJECTIVE OPTIMIZATION PROBLEM WITH VANISHING CONSTRAINTS

doi:10.1007/s10473-019-0204-8

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (2): 382-394.doi: 10.1007/s10473-019-0204-8

THE CHARACTERIZATION OF EFFICIENCY AND SADDLE POINT CRITERIA FOR MULTIOBJECTIVE OPTIMIZATION PROBLEM WITH VANISHING CONSTRAINTS

Anurag JAYSWAL, Vivek SINGH

Department of Applied Mathematics, Indian Institute of Technology(Indian School of Mines), Dhanbad 826 004, Jharkhand, India

收稿日期:2018-03-29 修回日期:2018-09-24 出版日期:2019-04-25 发布日期:2019-05-06
通讯作者: Vivek SINGH E-mail:viveksingh.25jun@gmail.com
作者简介:Anurag JAYSWAL,anurag@iitism.ac.in
基金资助:
The research of the first author was financially supported by the CSIR, New Delhi, India through Grant no.:25(0266)/17/EMR-Ⅱ.

THE CHARACTERIZATION OF EFFICIENCY AND SADDLE POINT CRITERIA FOR MULTIOBJECTIVE OPTIMIZATION PROBLEM WITH VANISHING CONSTRAINTS

Anurag JAYSWAL, Vivek SINGH

Department of Applied Mathematics, Indian Institute of Technology(Indian School of Mines), Dhanbad 826 004, Jharkhand, India

Received:2018-03-29 Revised:2018-09-24 Online:2019-04-25 Published:2019-05-06
Contact: Vivek SINGH E-mail:viveksingh.25jun@gmail.com
Supported by:
The research of the first author was financially supported by the CSIR, New Delhi, India through Grant no.:25(0266)/17/EMR-Ⅱ.

摘要/Abstract

摘要： In this article, we focus to study about modified objective function approach for multiobjective optimization problem with vanishing constraints. An equivalent η-approximated multiobjective optimization problem is constructed by a modification of the objective function in the original considered optimization problem. Furthermore, we discuss saddle point criteria for the aforesaid problem. Moreover, we present some examples to verify the established results.

关键词: multiobjective optimization problem with vanishing constraints, efficient solution, invexity, η-Lagrange function, saddle point

Abstract: In this article, we focus to study about modified objective function approach for multiobjective optimization problem with vanishing constraints. An equivalent η-approximated multiobjective optimization problem is constructed by a modification of the objective function in the original considered optimization problem. Furthermore, we discuss saddle point criteria for the aforesaid problem. Moreover, we present some examples to verify the established results.

Key words: multiobjective optimization problem with vanishing constraints, efficient solution, invexity, η-Lagrange function, saddle point

Anurag JAYSWAL, Vivek SINGH. THE CHARACTERIZATION OF EFFICIENCY AND SADDLE POINT CRITERIA FOR MULTIOBJECTIVE OPTIMIZATION PROBLEM WITH VANISHING CONSTRAINTS[J]. 数学物理学报(英文版), 2019, 39(2): 382-394.

Anurag JAYSWAL, Vivek SINGH. THE CHARACTERIZATION OF EFFICIENCY AND SADDLE POINT CRITERIA FOR MULTIOBJECTIVE OPTIMIZATION PROBLEM WITH VANISHING CONSTRAINTS[J]. Acta mathematica scientia,Series B, 2019, 39(2): 382-394.

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THE CHARACTERIZATION OF EFFICIENCY AND SADDLE POINT CRITERIA FOR MULTIOBJECTIVE OPTIMIZATION PROBLEM WITH VANISHING CONSTRAINTS

THE CHARACTERIZATION OF EFFICIENCY AND SADDLE POINT CRITERIA FOR MULTIOBJECTIVE OPTIMIZATION PROBLEM WITH VANISHING CONSTRAINTS

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