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Bilevel Programming

In: Essays and Surveys in Global Optimization

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  • Stephan Dempe

Abstract

Bilevel programming problems are hierarchical optimization problems where an objective function is minimized over the graph of the solution set mapping of a parametric optimization problem. In this paper, a selective survey for this living research area is given. Focus is on main recent approaches to solve such problems, on optimality conditions as well as on essential features of this problem class.

Suggested Citation

  • Stephan Dempe, 2005. "Bilevel Programming," Springer Books, in: Charles Audet & Pierre Hansen & Gilles Savard (ed.), Essays and Surveys in Global Optimization, chapter 0, pages 165-193, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-25570-5_6
    DOI: 10.1007/0-387-25570-2_6
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