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» Cutting planes in integer and mixed integer programming
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EOR
2010
140views more  EOR 2010»
13 years 4 months ago
Cutting plane algorithms for 0-1 programming based on cardinality cuts
: We present new valid inequalities for 0-1 programming problems that work in similar ways to well known cover inequalities. Discussion and analysis of these cuts is followed by th...
Osman Oguz
IPCO
2007
140views Optimization» more  IPCO 2007»
13 years 8 months ago
Cuts for Conic Mixed-Integer Programming
A conic integer program is an integer programming problem with conic constraints. Conic integer programming has important applications in finance, engineering, statistical learnin...
Alper Atamtürk, Vishnu Narayanan
IPCO
2010
174views Optimization» more  IPCO 2010»
13 years 9 months ago
On Lifting Integer Variables in Minimal Inequalities
This paper contributes to the theory of cutting planes for mixed integer linear programs (MILPs). Minimal valid inequalities are well understood for a relaxation of an MILP in tab...
Amitabh Basu, Manoel B. Campêlo, Michele Con...
WEA
2010
Springer
289views Algorithms» more  WEA 2010»
14 years 2 months ago
Experiments with a Generic Dantzig-Wolfe Decomposition for Integer Programs
Abstract We report on experiments with turning the branch-price-andcut framework SCIP into a generic branch-price-and-cut solver. That is, given a mixed integer program (MIP), our ...
Gerald Gamrath, Marco E. Lübbecke
IOR
2006
177views more  IOR 2006»
13 years 7 months ago
Combinatorial Benders' Cuts for Mixed-Integer Linear Programming
Mixed-Integer Programs (MIP's) involving logical implications modelled through big-M coefficients, are notoriously among the hardest to solve. In this paper we propose and an...
Gianni Codato, Matteo Fischetti