Linear forms of nonlinear expressions: New insights on old ideas

  • Authors:
  • Warren P. Adams;Richard J. Forrester

  • Affiliations:
  • Department of Mathematical Sciences, O-327 Martin Hall, Clemson University, Clemson, SC 29634-0975, USA;Dickinson College, Carlisle, PA 17013, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 2007

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Abstract

We show how recent linearization methods for mixed 0-1 polynomial programs can be improved and unified through an interpretation of classical techniques. We consider quadratic expressions involving the product of a linear function and a binary variable, and extensions having products of binary variables. Computational results are reported.