On the extreme inequalities of infinite group problems
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Publication:847827
DOI10.1007/s10107-008-0229-6zbMath1184.90113OpenAlexW2074122434MaRDI QIDQ847827
Lisa A. Miller, Santanu S. Dey, Jean-Philippe P. Richard, Yanjun Li
Publication date: 19 February 2010
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10107-008-0229-6
Mixed integer programming (90C11) Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57)
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Cites Work
- Unnamed Item
- Valid inequalities for mips and group polyhedra from approximate liftings
- Corner polyhedra and their connection with cutting planes
- T-space and cutting planes
- Cyclic group and knapsack facets
- Strengthening Chvátal-Gomory cuts and Gomory fractional cuts
- Valid inequalities based on the interpolation procedure
- Some polyhedra related to combinatorial problems
- Valid inequalities based on simple mixed-integer sets
- New inequalities for finite and infinite group problems from approximate lifting
- Facets of Two-Dimensional Infinite Group Problems
- Sequential-Merge Facets for Two-Dimensional Group Problems
- Some continuous functions related to corner polyhedra
- Some continuous functions related to corner polyhedra, II
- Integer Programming and Combinatorial Optimization