Using separation algorithms to generate mixed integer model reformulations

  • Authors:
  • R.Kipp Martin

  • Affiliations:
  • Graduate School of Business, University of Chicago, 1101 East 58th Street, Chicago, IL 60637, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 1991

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Abstract

The linear relaxation of mixed integer programming models can be strengthened by introducing auxiliary variables. We develop a new method for generating auxiliary variable reformulations for problems where the separation algorithm for finding violated cuts can be formulated as a linear program. Our results have important consequences for integrality proofs and efficient formulations.