Generalization of Barahona's algorithm for cases of integer non-linear programming with box constraints

  • Authors:
  • Ross Baldick

  • Affiliations:
  • Lawrence Berkeley laboratory, Berkeley, CA 94720, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 1993

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Abstract

Barahona described a linear time algorithm for a class of 0-1 quadratic programming problems. The algorithm was based on a transformation to a max-cut problem. We describe a linear algorithm that treats a slightly more general problem directly in its original form. We then give a pseudopolynomial algorithm for even more general problems.