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Approximate tradeoffs on weighted labeled matroids

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10.1.1.408.4785.pdf (125.6Kb)
Date
2015
Dewey
Recherche opérationnelle
Sujet
Matroid; Bi-objective; Additive weight; Weighted labeled; Approximate solution
Journal issue
Discrete Applied Mathematics
Volume
184
Publication date
2015
Article pages
154-166
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.dam.2014.11.005
URI
https://basepub.dauphine.fr/handle/123456789/14942
Collections
  • LAMSADE : Publications
Metadata
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Author
Gourvès, Laurent
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Monnot, Jérôme
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Tlilane, Lydia
989 Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Type
Article accepté pour publication ou publié
Abstract (EN)
We consider problems where a solution is evaluated with a couple. Each coordinate of this couple represents the utility of an agent. Due to the possible conflicts, it is unlikely that one feasible solution is optimal for both agents. Then a natural aim is to find a tradeoff. We investigate tradeoff solutions with worst case guarantees for the agents. The focus is on discrete problems having a matroid structure and the utility of an agent is modeled with a function which is either additive or weighted labeled. We provide polynomial-time deterministic algorithms which achieve several guarantees and we prove that some guarantees are not possible to reach.

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