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,...
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2018
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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) |
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90C99 Applied mathematics. Quantitative methods T57-57.97 Electronic computers. Computer science QA75.5-76.95 |
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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 |