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Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Reformulating the PascolettiSerafini problem as a Bilevel optimization problem
 Reich, S. ; American Mathematical Society AMS: Infinite products of operators and their applications : A research workshop of the Israel Science Foundation, May 21  24, 2012, Haifa, Israel Providence, RI: AMS, 2015 (Contemporary Mathematics 636) ISBN: 9781470414801 (Print) ISBN: 9781470422752 (Online) DOI: 10.1090/conm/636/12731 pp.121129 
 Research Workshop on Infinite Products of Operators and their Applications <2012, Haifa> 

 English 
 Conference Paper 
 Fraunhofer ITWM () 
Abstract
We propose a new reformulation of the linear PascolettiSerafini problem as a biLevel optimization problem. The PascolettiSerafini problem stands at the core of many MultiCriteria Optimization problems, and in particular its linear version is used for navigation purposes on the Pareto frontier. The new reformulation is based on the split feasibility problem and thus enables us to apply projection methods. We show how Solodov's method can be applied to solving the equivalent bilevel optimization problem. The method is a projected gradient method, iteratively applied to a parametrized family of functions.