Journal
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Volume 131, Issue 3, Pages 365-382Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-006-9150-4
Keywords
bilevel optimization; multiobjective optimization; optimization over the efficient set; penalty methods
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We consider a bilevel optimization problem where the upper level is a scalar optimization problem and the lower level is a vector optimization problem. For the lower level, we deal with weakly efficient solutions. We approach our problem using a suitable penalty function which vanishes over the weakly efficient solutions of the lower-level vector optimization problem and which is nonnegative over its feasible set. Then, we use an exterior penalty method.
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