English

A solution method for arbitrary polyhedral convex set optimization problems

Optimization and Control 2024-09-27 v4

Abstract

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.

Keywords

Cite

@article{arxiv.2310.06602,
  title  = {A solution method for arbitrary polyhedral convex set optimization problems},
  author = {Andreas Löhne},
  journal= {arXiv preprint arXiv:2310.06602},
  year   = {2024}
}

Comments

reference [11] added, minor changes (typos)