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MP
2006
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13 years 4 months ago
Approximate extended formulations
Mixed integer programming (MIP) formulations are typically tightened through the use of a separation algorithm and the addition of violated cuts. Using extended formulations involv...
Mathieu Van Vyve, Laurence A. Wolsey
MP
2008
99views more  MP 2008»
13 years 4 months ago
Compact formulations as a union of polyhedra
We explore one method for finding the convex hull of certain mixed integer sets. The approach is to break up the original set into a small number of subsets, find a compact polyhed...
Michele Conforti, Laurence A. Wolsey
DISOPT
2008
81views more  DISOPT 2008»
13 years 4 months ago
Intermediate integer programming representations using value disjunctions
We introduce a general technique to create an extended formulation of a mixed-integer program. We classify the integer variables into blocks, each of which generates a finite set ...
Matthias Köppe, Quentin Louveaux, Robert Weis...
4OR
2010
137views more  4OR 2010»
13 years 4 months ago
Extended formulations in combinatorial optimization
This survey is concerned with the size of perfect formulations for combinatorial optimization problems. By "perfect formulation", we mean a system of linear inequalities...
Michele Conforti, Gérard Cornuéjols,...