Linear programming relaxation for quasiconvex programming

Journal of Nonlinear and Covnex Analysis Volume 22 Issue 7 Page 1251-1261 published_at 2021
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Title
Linear programming relaxation for quasiconvex programming
Creator
Source Title
Journal of Nonlinear and Covnex Analysis
Volume 22
Issue 7
Start Page 1251
End Page 1261
Journal Identifire
ISSN 1345-4773
EISSN 1880-5221
Descriptions
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.
Subjects
quasiconvex programming
generators of quasiconvex functions
linear programming relaxation
Language
eng
Resource Type journal article
Publisher
横浜図書
Yokohama Publishers
Date of Issued 2021
Publish Type Version of Record
Access Rights restricted access
Relation
ヨコハマ トショ
[URI] http://www.yokohamapublishers.jp/online2/jncav22-7.html