Semi-In fi nite Optimization with Implicit Functions

  title={Semi-In fi nite Optimization with Implicit Functions},
  author={Matthew D. Stuber and Paul I. Barton},
In this work, equality-constrained bilevel optimization problems, arising from engineering design, economics, and operations research problems, are reformulated as an equivalent semi-infinite program (SIP) with implicit functions embedded, which are defined by the original equality constraints that model the system. Using recently developed theoretical tools for bounding implicit functions, a recently developed algorithm for global optimization of implicit functions, and a recently developed… CONTINUE READING
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