A solution method for arbitrary polyhedral convex set optimization problems

Fuente: arXiv
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Main Author: Löhne, Andreas
Format: Preprint
Published: 2023
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author Löhne, Andreas
author_facet Löhne, Andreas
contents We provide a solution method for the polyhedral convex set optimization problem, that is, the problem to minimize a set-valued mapping with polyhedral convex graph with respect to a set ordering relation which is generated by a polyhedral convex cone . The method is proven to be correct and finite without any further assumption to the problem.
format Preprint
id arxiv_https___arxiv_org_abs_2310_06602
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A solution method for arbitrary polyhedral convex set optimization problems
Löhne, Andreas
Optimization and Control
90C99, 90C29, 90C05
We provide a solution method for the polyhedral convex set optimization problem, that is, the problem to minimize a set-valued mapping with polyhedral convex graph with respect to a set ordering relation which is generated by a polyhedral convex cone . The method is proven to be correct and finite without any further assumption to the problem.
title A solution method for arbitrary polyhedral convex set optimization problems
topic Optimization and Control
90C99, 90C29, 90C05
url https://arxiv.org/abs/2310.06602