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  • 标题:The (not so) trivial lifting in two dimensions
  • 本地全文:下载
  • 作者:Fukasawa, Ricardo ; Poirrier, Laurent ; Xavier, Alinson S.
  • 期刊名称:Mathematical Programming Computation
  • 印刷版ISSN:1867-2957
  • 出版年度:2019
  • 卷号:11
  • 期号:2
  • 页码:211-235
  • DOI:10.1007/s12532-018-0146-5
  • 出版社:Mathematical Programming Computation
  • 摘要:When generating cutting-planes for mixed-integer programs from multiple rows of the simplex tableau, the usual approach has been to relax the integrality of the non-basic variables, compute an intersection cut, then strengthen the cut coefficients corresponding to integral non-basic variables using the so-called trivial lifting procedure. Although of polynomial-time complexity in theory, this lifting procedure can be computationally costly in practice. For the case of two-row relaxations, we present a practical algorithm that computes trivial lifting coefficients in constant time, for arbitrary maximal lattice-free sets. Computational experiments confirm that the algorithm works well in practice.
  • 关键词:Integer programming ; Lifting ; Cutting planes
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