Robust combinatorial optimization under convex and discrete cost uncertainty

In this survey, we discuss the state of the art of robust combinatorial optimization under uncertain cost functions. We summarize complexity results presented in the literature for various underlying problems, with the aim of pointing out the connections between the different results and approaches,...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Christoph Buchheim, Jannis Kurtz
Formato: article
Lenguaje:EN
Publicado: Elsevier 2018
Materias:
Acceso en línea:https://doaj.org/article/ae62ea4ea7da4507ae647b8dc97ff9ae
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
id oai:doaj.org-article:ae62ea4ea7da4507ae647b8dc97ff9ae
record_format dspace
spelling oai:doaj.org-article:ae62ea4ea7da4507ae647b8dc97ff9ae2021-12-02T05:01:07ZRobust combinatorial optimization under convex and discrete cost uncertainty2192-440610.1007/s13675-018-0103-0https://doaj.org/article/ae62ea4ea7da4507ae647b8dc97ff9ae2018-09-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2192440621001015https://doaj.org/toc/2192-4406In this survey, we discuss the state of the art of robust combinatorial optimization under uncertain cost functions. We summarize complexity results presented in the literature for various underlying problems, with the aim of pointing out the connections between the different results and approaches, and with a special emphasis on the role of the chosen uncertainty sets. Moreover, we give an overview over exact solution methods for NP-hard cases. While mostly concentrating on the classical concept of strict robustness, we also cover more recent two-stage optimization paradigms.Christoph BuchheimJannis KurtzElsevierarticle90C99Applied mathematics. Quantitative methodsT57-57.97Electronic computers. Computer scienceQA75.5-76.95ENEURO Journal on Computational Optimization, Vol 6, Iss 3, Pp 211-238 (2018)
institution DOAJ
collection DOAJ
language EN
topic 90C99
Applied mathematics. Quantitative methods
T57-57.97
Electronic computers. Computer science
QA75.5-76.95
spellingShingle 90C99
Applied mathematics. Quantitative methods
T57-57.97
Electronic computers. Computer science
QA75.5-76.95
Christoph Buchheim
Jannis Kurtz
Robust combinatorial optimization under convex and discrete cost uncertainty
description In this survey, we discuss the state of the art of robust combinatorial optimization under uncertain cost functions. We summarize complexity results presented in the literature for various underlying problems, with the aim of pointing out the connections between the different results and approaches, and with a special emphasis on the role of the chosen uncertainty sets. Moreover, we give an overview over exact solution methods for NP-hard cases. While mostly concentrating on the classical concept of strict robustness, we also cover more recent two-stage optimization paradigms.
format article
author Christoph Buchheim
Jannis Kurtz
author_facet Christoph Buchheim
Jannis Kurtz
author_sort Christoph Buchheim
title Robust combinatorial optimization under convex and discrete cost uncertainty
title_short Robust combinatorial optimization under convex and discrete cost uncertainty
title_full Robust combinatorial optimization under convex and discrete cost uncertainty
title_fullStr Robust combinatorial optimization under convex and discrete cost uncertainty
title_full_unstemmed Robust combinatorial optimization under convex and discrete cost uncertainty
title_sort robust combinatorial optimization under convex and discrete cost uncertainty
publisher Elsevier
publishDate 2018
url https://doaj.org/article/ae62ea4ea7da4507ae647b8dc97ff9ae
work_keys_str_mv AT christophbuchheim robustcombinatorialoptimizationunderconvexanddiscretecostuncertainty
AT janniskurtz robustcombinatorialoptimizationunderconvexanddiscretecostuncertainty
_version_ 1718400847901097984