Quasistability of vector nonlinear trajectory problem with the Pareto optimality principle
type: Item
instance of: scholarly article
title: Quasistability of vector nonlinear trajectory problem with the Pareto optimality principle
zbMATH Open document ID: 1009.90103
author: Yu. V. Stepanishina
author: V. A. Emelichev
published in: Russian Mathematics
publication date: 2003-04-22T00:00:00Z
review text: The paper considers discrete vector optimization problems with any combination of linear partial criteria of the form MINSUM and nonlinear partial criteria of the form MINMAX and MINMIN. Necessary and sufficient conditions for the quasistability of such problems are presented, where quasistability is defined as the property that the Pareto set remains unchanged under small independent perturbations of the objective functions. Connections between quasistability and the equality of the Pareto set and the Smale set are derived.
reviewed by: Kathrin Klamroth
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 1758715
zbMATH Keywords: discrete vector optimization
zbMATH Keywords: quasistability
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1758715