3 papers
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…
math.OC2020
Gauss-Newton-type methods for bilevel optimization
Joerg Fliege, Andrey Tin, Alain Zemkoho
This article studies Gauss-Newton-type methods for over-determined systems to find solutions to bilevel programming problems. To proceed, we use the lower-level value function refo…
math.OC2018
BOLIB: Bilevel Optimization LIBrary of test problems
Shenglong Zhou, Alain B. Zemkoho, Andrey Tin
This chapter presents the Bilevel Optimization LIBrary of the test problems (BOLIB for short), which contains a collection of test problems, with continuous variables, to help supp…