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» On the Exact Separation of Mixed Integer Knapsack Cuts
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MP
2007
100views more  MP 2007»
13 years 4 months ago
Mixed-Integer Cuts from Cyclic Groups
We analyze a separation procedure for Mixed-Integer Programs related to the work of Gomory and Johnson on interpolated subadditive functions. This approach has its roots in the Go...
Matteo Fischetti, Cristiano Saturni
IOR
2006
177views more  IOR 2006»
13 years 5 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
AUSSOIS
2001
Springer
13 years 9 months ago
An Augment-and-Branch-and-Cut Framework for Mixed 0-1 Programming
In recent years the branch-and-cut method, a synthesis of the classical branch-and-bound and cutting plane methods, has proven to be a highly successful approach to solving large-s...
Adam N. Letchford, Andrea Lodi
INFORMS
2010
100views more  INFORMS 2010»
13 years 2 months ago
Two-Step MIR Inequalities for Mixed Integer Programs
Two-step MIR inequalities are valid inequalities derived from a facet of a simple mixedinteger set with three variables and one constraint. In this paper we investigate how to eff...
Sanjeeb Dash, Marcos Goycoolea, Oktay Günl&uu...
MP
2010
163views more  MP 2010»
13 years 3 days ago
Speeding up IP-based algorithms for constrained quadratic 0-1 optimization
In many practical applications, the task is to optimize a non-linear objective function over the vertices of a well-studied polytope as, e.g., the matching polytope or the travelli...
Christoph Buchheim, Frauke Liers, Marcus Oswald