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math.OC2021★ 2 cited
Scholtes relaxation method for pessimistic bilevel optimization
Imane Benchouk, Khadra Nachi, Alain Zemkoho
When the lower-level optimal solution set-valued mapping of a bilevel optimization problem is not single-valued, we are faced with an ill-posed problem, which gives rise to the opt…
math.OC2021
Levenberg-Marquardt method and partial exact penalty parameter selection in bilevel optimization
Andrey Tin, Alain B. Zemkoho
We consider the optimistic bilevel optimization problem, known to have a wide range of applications in engineering, that we transform into a single-level optimization problem by me…