On a constructive approximation of the efficient outcomes in bicriterion vector optimization
type: Item
instance of: scholarly article
title: On a constructive approximation of the efficient outcomes in bicriterion vector optimization
zbMATH Open document ID: 0826.90098
DOI: 10.1007/BF01097002
author: Siegfried Helbig
published in: Journal of Global Optimization
publication date: 1994-08-11T00:00:00Z
review text: Using some geometrically motivated facts on homeomorphical sets (parameter set and set of solutions of this special vector optimization problem) the author proves estimations of the distance between different points of a finite subset of that set of solutions and on the number of equidistant points in the parameter set such that for the corresponding solutions a given accuracy is satisfied. Based on these estimations algorithmical aspects are considered.
reviewed by: R.Nehse
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 65K05
zbMATH DE Number: 617061
zbMATH Keywords: bicriterion vector optimization
zbMATH Keywords: interactive algorithm
MaRDI profile type: Publication
cites work: An interactive branch-and-bound algorithm for bicriterion nonconvex/mixed integer programming
cites work: On convex vectorial optimization in linear spaces
cites work: Vector maximization with two objective functions
cites work: Bicriteria linear fractional programming
cites work: On the connectedness of the set of weakly efficient points of a vector optimization problem in locally convex spaces
cites work: Q4863218
cites work: Q4279625
cites work: Connectedness of the efficient point sets in quasiconcave vector maximization
cites work: Scalarizing vector optimization problems
cites work: Q4742579
cites work: Interactive bicriterion solution method and its application to critical path method problems
cites work: An interactive weighted Tchebycheff procedure for multiple objective programming
full work available at URL: https://doi.org/10.1007/bf01097002
OpenAlex ID: W1974842244
description: scientific article; zbMATH DE number 617061