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Erschienen in:
2010 | OriginalPaper | Buchkapitel
A Filter Method to Solve Nonlinear Bilevel Programming Problems
verfasst von : Jean Bosco Etoa Etoa
Erschienen in: Information Computing and Applications
Verlag: Springer Berlin Heidelberg
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Filter methods, introduced by Fletcher and Leyffer for nonlinear programming are characterized by the use of the dominance concept of multiobjective optimization, instead of a penalty parameter whose adjustment can be problematic. This paper presents a way to implement a filter based approach to solve a nonlinear bilevel programming problem in a linear approximations framework. The approach presented is based on the trust region idea from nonlinear programming, combined with filter-SQP algorithm, smooth and active sets techniques. The restoration procedure introduced in our algorithm consists in computing a rational solution.