Approximate tradeoffs on weighted labeled matroids

Laurent Gourvès (1) , Jérôme Monnot (1) , Lydia Tlilane (1)

1 LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision

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.

Mots clés: Approximate solution; Weighted labeled; Matroid; Bi-objective; Additive weight

Domaines: Informatique [cs]

Laurent Gourvès, Jérôme Monnot, Lydia Tlilane. Approximate tradeoffs on weighted labeled matroids. Discrete Applied Mathematics, 2015, 184, pp.154-166. ⟨10.1016/j.dam.2014.11.005⟩. ⟨hal-01508729⟩