Pareto robust optimization on Euclidean vector spaces
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s11590-022-01929-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7406 |
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oai:localhost:PNK-74062023-04-03T03:29:31Z Pareto robust optimization on Euclidean vector spaces Dennis, Adelhütte Christian, Biefel Martina, Kuchlbauer SDP robust linear programs CC BY Pareto efficiency for robust linear programs was introduced by Iancu and Trichakis in [Manage Sci 60(1):130–147, 9]. We generalize their approach and theoretical results to robust optimization problems in Euclidean spaces with affine uncertainty. Additionally, we demonstrate the value of this approach in an exemplary manner in the area of robust semidefinite programming (SDP). In particular, we prove that computing a Pareto robustly optimal solution for a robust SDP is tractable and illustrate the benefit of such solutions at the example of the maximal eigenvalue problem. Furthermore, we modify the famous algorithm of Goemans and Williamson [Assoc Comput Mach 42(6):1115–1145, 8] in order to compute cuts for the robust max-cut problem that yield an improved approximation guarantee in non-worst-case scenarios. 2023-04-03T01:41:52Z 2023-04-03T01:41:52Z 2022 Book https://link.springer.com/article/10.1007/s11590-022-01929-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7406 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
SDP robust linear programs |
| spellingShingle |
SDP robust linear programs Dennis, Adelhütte Christian, Biefel Martina, Kuchlbauer Pareto robust optimization on Euclidean vector spaces |
| description |
CC BY |
| format |
Book |
| author |
Dennis, Adelhütte Christian, Biefel Martina, Kuchlbauer |
| author_facet |
Dennis, Adelhütte Christian, Biefel Martina, Kuchlbauer |
| author_sort |
Dennis, Adelhütte |
| title |
Pareto robust optimization on Euclidean vector spaces |
| title_short |
Pareto robust optimization on Euclidean vector spaces |
| title_full |
Pareto robust optimization on Euclidean vector spaces |
| title_fullStr |
Pareto robust optimization on Euclidean vector spaces |
| title_full_unstemmed |
Pareto robust optimization on Euclidean vector spaces |
| title_sort |
pareto robust optimization on euclidean vector spaces |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s11590-022-01929-y https://dlib.phenikaa-uni.edu.vn/handle/PNK/7406 |
| _version_ |
1762184300787138560 |
| score |
8.891145 |