Linear programming related to homogeneous programming
type: Item
instance of: scholarly article
title: Linear programming related to homogeneous programming
zbMATH Open document ID: 0703.90093
author: Ryôhei Nozawa
published in: Osaka Journal of Mathematics
publication date: 1990-01-01T00:00:00Z
review text: Homogeneous programming problems are optimization problems with positively homogeneous objective functions and positively homogeneous constraints. Every linear programming problem is represented as a homogeneous programming problem. In this paper, it is stated that every homogeneous programming problem is equivalent to a linear programming problem formulated in an infinite-dimensional space. Furthermore the author notes that Kretschmer's condition for the duality in linear programming problems gives a new condition for the duality in homogeneous programming problems, which is a slight generalization of Gwinner's one.
Mathematics Subject Classification ID: 90C48
Mathematics Subject Classification ID: 90C05
zbMATH DE Number: 4154241
zbMATH Keywords: Homogeneous programming
zbMATH Keywords: positively homogeneous objective functions
zbMATH Keywords: positively homogeneous constraints
zbMATH Keywords: duality
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4154241