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  • Search: subject:"Nonconvex inner problem"
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Bilevel programming 2 Branch and bound 2 Nonconvex inner problem 2
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Undetermined 2
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Article 2
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Adjiman, Claire 2 Kleniati, Polyxeni-M. 1 Kleniati, Polyxeni-Margarita 1
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Journal of Global Optimization 2
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RePEc 2
Showing 1 - 2 of 2
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Branch-and-Sandwich: a deterministic global optimization algorithm for optimistic bilevel programming problems. Part I: Theoretical development
Kleniati, Polyxeni-Margarita; Adjiman, Claire - In: Journal of Global Optimization 60 (2014) 3, pp. 425-458
We present a global optimization algorithm, Branch-and-Sandwich, for optimistic bilevel programming problems that satisfy a regularity condition in the inner problem. The functions involved are assumed to be nonconvex and twice continuously differentiable. The proposed approach can be...
Persistent link: https://www.econbiz.de/10010938212
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Branch-and-Sandwich: a deterministic global optimization algorithm for optimistic bilevel programming problems. Part II: Convergence analysis and numerical results
Kleniati, Polyxeni-M.; Adjiman, Claire - In: Journal of Global Optimization 60 (2014) 3, pp. 459-481
In the first part of this work, we presented a global optimization algorithm, Branch-and-Sandwich, for optimistic bilevel programming problems that satisfy a regularity condition in the inner problem (Kleniati and Adjiman in J Glob Optim, <CitationRef CitationID="CR16">2014</CitationRef>). The proposed approach can be interpreted as the...</citationref>
Persistent link: https://www.econbiz.de/10010994079
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