"Randomized Simplex - The Quest for Lower Bounds"

by Bernd Gaertner

Abstract:

In recent years, randomized variants of the simplex method have attracted some attention because of their potential to overcome the bad worst case behavior known for many deterministic variants. In this talk I want to address the question of how good randomized variants can be. As it turns out, suprisingly little is known. I want to survey some of the results and show that even in seemingly simple cases, difficult and exciting combinatorial questions can come up.

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