Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 142, Issue 3, Pages 444-462Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0377-2217(01)00307-1
Keywords
semi-infinite programming; bilevel programming; optimality conditions; genericity behavior; numerical methods
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The paper studies the connections and differences between bilevel problems (BL) and generalized semi-infinite problems (GSIP). Under natural assumptions (GSIP) can be seen as a special case of a (BL) We consider the so-called reduction approach for (BL) and (GSIP) leading to optimality conditions and Newton-type methods for solving the problems. We show by a structural analysis that for (GSIP)-problems the regularity assumptions For the reduction approach can be expected to hold generically at a solution but for general (BL)-problems not. The genericity behavior of (BL) and (GSIP) is in particular studied for linear problems. (C) 2002 Elsevier Science B.V. All rights reserved.
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