3.8 Article

Connection of Some Bilevel and Nonlinear Optimization Problems

Journal

RUSSIAN MATHEMATICS
Volume 55, Issue 4, Pages 83-86

Publisher

PLEIADES PUBLISHING INC
DOI: 10.3103/S1066369X11040104

Keywords

bilevel optimization problems; guaranteed (pessimistic) solution; nonconvex optimization problems

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In this paper we reduce a quadratic-linear bilevel optimization problem with a guaranteed solution to a family of bilevel problems in the optimistic statement. Then we reduce the obtained bilevel problems to nonconvex one-level optimization problems and solve the latter by nonconvex optimization methods.

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