Semivectorial Bilevel Optimization Problem: Penalty Approach

H. Bonnel and Jacqueline Morgan
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H. Bonnel: University of Naples Federico II

Journal of Optimization Theory and Applications, 2006, vol. 131, issue 3, No 4, 365-382

Abstract: Abstract 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.

Keywords: Bilevel optimization; multiobjective optimization; optimization over the efficient set; penalty methods (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (14)

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DOI: 10.1007/s10957-006-9150-4

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