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Bilevel Programming

  • William E. Hart
  • Carl D. Laird
  • Jean-Paul Watson
  • David L. Woodruff
  • Gabriel A. Hackebeil
  • Bethany L. Nicholson
  • John D. Siirola
Chapter
  • 5.2k Downloads
Part of the Springer Optimization and Its Applications book series (SOIA, volume 67)

Abstract

This chapter documents how to formulate bilevel programs, which model adversarial behavior in a general manner. We describe new modeling components that represent subproblems, modeling transformations for re-expressing models with bilevel structure in other forms, and optimize bilevel programs with metasolvers that apply transformations and then perform optimization on the resulting model. We illustrate the breadth of Pyomo’s modeling capabilities for bilevel programs, and we describe how Pyomo’s meta-solvers can perform local and global optimization of bilevel programs.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • William E. Hart
    • 1
  • Carl D. Laird
    • 1
  • Jean-Paul Watson
    • 1
  • David L. Woodruff
    • 2
  • Gabriel A. Hackebeil
    • 3
  • Bethany L. Nicholson
    • 1
  • John D. Siirola
    • 1
  1. 1.Sandia National LaboratoriesAlbuquerqueUSA
  2. 2.Graduate School of ManagementUniversity of California, DavisDavisUSA
  3. 3.Department of Industrial and Operations EngineeringUniversity of MichiganAnn ArborUSA

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