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Algorithms for Simple Bilevel Programming

In: Bilevel Optimization

Author

Listed:
  • Joydeep Dutta

    (Indian Institute of Technology Kanpur)

  • Tanushree Pandit

    (Indian Institute of Technology Kanpur)

Abstract

In this article we focus on algorithms for solving simple bilevel programming problems. Simple bilevel problems consist of minimizing a convex function over the solution set of another convex optimization problem. Though the problem is convex the bilevel structure prevents the direct application of the standard methods of convex optimization. Hence several algorithms have been developed in the literature to tackle this problem. In this article we discuss several such algorithms including recent ones.

Suggested Citation

  • Joydeep Dutta & Tanushree Pandit, 2020. "Algorithms for Simple Bilevel Programming," Springer Optimization and Its Applications, in: Stephan Dempe & Alain Zemkoho (ed.), Bilevel Optimization, chapter 0, pages 253-291, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-52119-6_9
    DOI: 10.1007/978-3-030-52119-6_9
    as

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