On the separation of split inequalities for non-convex quadratic integer programming

نویسندگان

  • Christoph Buchheim
  • Emiliano Traversi
چکیده

We investigate the computational potential of split inequalities for non-convex quadratic integer programming, first introduced by Letchford [11] and further examined by Burer and Letchford [8]. These inequalities can be separated by solving convex quadratic integer minimization problems. For small instances with box-constraints, we show that the resulting dual bounds are very tight; they can close a large percentage of the gap left open by both the RLTand the SDP-relaxations of the problem. The gap can be further decreased by separating so-called non-standard split inequalities, which we examine in the case of ternary variables.

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عنوان ژورنال:
  • Discrete Optimization

دوره 15  شماره 

صفحات  -

تاریخ انتشار 2015