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Solving market split problems with heuristical lattice reduction

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Publication:1761840
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DOI10.1007/s10479-012-1143-0zbMath1269.90063OpenAlexW2060063583MaRDI QIDQ1761840

Heiko Vogel

Publication date: 15 November 2012

Published in: Annals of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10479-012-1143-0


zbMATH Keywords

lattice reductionheuristic evaluation


Mathematics Subject Classification ID

Integer programming (90C10) Approximation methods and heuristics in mathematical programming (90C59)



Uses Software

  • CPLEX


Cites Work

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  • Attacking the market split problem with lattice point enumeration
  • On Lovász' lattice reduction and the nearest lattice point problem
  • A hierarchy of polynomial time lattice basis reduction algorithms
  • Factoring polynomials with rational coefficients
  • Improved low-density subset sum algorithms
  • Lattice basis reduction: Improved practical algorithms and solving subset sum problems
  • Sieve algorithms for the shortest vector problem are practical
  • A Class of Hard Small 0-1 Programs


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