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math.OC2020
Newton-type method for bilevel programs with linear lower level problem and application to toll optimization
Floriane Mefo Kue, Thorsten Raasch, Alain B. Zemkoho
We consider a bilevel program involving a linear lower level problem with left-hand-side perturbation. We then consider the Karush-Kuhn-Tucker reformulation of the problem and subs…
math.OC2020★ 1 cited
Theoretical and numerical comparison of the Karush-Kuhn-Tucker and value function reformulations in bilevel optimization
Alain Zemkoho, Shenglong Zhou
The Karush-Kuhn-Tucker and value function (lower-level value function, to be precise) reformulations are the most common single-level transformations of the bilevel optimization pr…