The natural ordering cone of a polyhedral convex set-valued objective mapping
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909233377705984 |
|---|---|
| author | Löhne, Andreas |
| author_facet | Löhne, Andreas |
| contents | For a given polyhedral convex set-valued mapping we define a polyhedral convex cone which we call the natural ordering cone. We show that the solution behavior of a polyhedral convex set optimization problem can be characterized by this cone. Under appropriate assumptions the natural ordering cone is proven to be the smallest ordering cone which makes a polyhedral convex set optimization problem solvable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_15575 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The natural ordering cone of a polyhedral convex set-valued objective mapping Löhne, Andreas Optimization and Control For a given polyhedral convex set-valued mapping we define a polyhedral convex cone which we call the natural ordering cone. We show that the solution behavior of a polyhedral convex set optimization problem can be characterized by this cone. Under appropriate assumptions the natural ordering cone is proven to be the smallest ordering cone which makes a polyhedral convex set optimization problem solvable. |
| title | The natural ordering cone of a polyhedral convex set-valued objective mapping |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2305.15575 |