Journal
OPTIMIZATION
Volume 58, Issue 8, Pages 1029-1047Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/02331930701763389
Keywords
bilevel programming; necessary and sufficient optimality conditions; optimistic and pessimistic optimal solution; discrete parametric optimization
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In this article, we investigate bilevel programming problems with discrete lower level and continuous upper level problems. We will analyse the structure of these problems and discuss both the optimistic and the pessimistic solution approach. Since neither the optimistic nor the pessimistic solution functions are in general lower semicontinuous, we introduce weak solution function. By using these functions we are able to discuss optimality conditions for local and global optimality.
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