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Description
In this paper, we study linear programming relaxation for quasiconvex programming in terms of generators of quasiconvex functions. We recall linear transformation of quasiconvex inequality systems in terms of a generator. We introduce a relaxed objective function by using generators. We investigate a relaxed problem with finitely many linear constraints by using generators of constraint functions. Finally, we show the existence of exact linear programming relaxation for quasiconvex programming. In addition, we show exact linear programming relaxation for convex programming as an application of our results.
Subject
quasiconvex programming
generators of quasiconvex functions
linear programming relaxation
Journal Title
Journal of Nonlinear and Covnex Analysis
Volume
22
Issue
7
Start Page
1251
End Page
1261
ISSN
1345-4773
ISSN(Online)
1880-5221
Published Date
2021
Publisher
横浜図書
Publisher Transcription
ヨコハマ トショ
Publisher Aalternative
Yokohama Publishers
NII Type
Journal Article
Format
PDF
Relation
Text Version
出版社版
OAI-PMH Set
Faculty of Science and Engineering
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