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MP
2006
119views more  MP 2006»
14 years 12 days 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»
14 years 12 days 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»
14 years 16 days 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»
14 years 18 days 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,...