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Nous proposons des formulations en programmes linéaires, ou en programmes linéaireslinéairesà variables mixtes (MIP) Dans la plupart des cas, la formulation est une formulation non-compacte du type arc-chemin. La formulation compacte sommet-arc est utilisée uniquement dans deux cas de routage bifurquébifurquéà savoir: PP-PD (protection de chemin avec diversité), et la FI-nSR PR ,
nous nous intéressonsintéressonsà un autre type d'incertitude: l'incertitude de la demande de trafic, Nous nous focalisons sur le modèle polyédral ,