Lagrangian min-max methods can be applied when the duality gap is zero, but may oscillate around the cost constraint.

“And then of course there is uh the uh final people who just say well, we have zero duality gap, why not just use Lagrangian approaches, which affect like this min-max style.”

“This works, but then you have the problem of also this oscillation, right? We effectively you you go down and you oscillate around because you basically you're below the cost because your your Lagrangian was slightly too large. Then uh you're very safe. So the G Lagrangian drops and you go above and you go below and so on. It's like you have this this big or small oscillations.”