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ENDM
2010
115views more  ENDM 2010»
13 years 2 months ago
On the knapsack closure of 0-1 Integer Linear Programs
Many inequalities for Mixed-Integer Linear Programs (MILPs) or pure Integer Linear Programs (ILPs) are derived from the Gomory corner relaxation, where all the nonbinding constrai...
Matteo Fischetti, Andrea Lodi
ICALP
2001
Springer
13 years 9 months ago
On Generating All Minimal Integer Solutions for a Monotone System of Linear Inequalities
We consider the problem of enumerating all minimal integer solutions of a monotone system of linear inequalities. We first show that for any monotone system of r linear inequaliti...
Endre Boros, Khaled M. Elbassioni, Vladimir Gurvic...
STOC
1993
ACM
179views Algorithms» more  STOC 1993»
13 years 9 months ago
The network inhibition problem
We study the Maximum Flow Network Interdiction Problem (MFNIP). We present two classes of polynomially separable valid inequalities for Cardinality MFNIP. We also prove the integr...
Cynthia A. Phillips
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
MP
2006
110views more  MP 2006»
13 years 5 months ago
Decomposition and Dynamic Cut Generation in Integer Linear Programming
Decomposition algorithms such as Lagrangian relaxation and Dantzig-Wolfe decomposition are well-known methods that can be used to generate bounds for mixed-integer linear programmi...
Ted K. Ralphs, Matthew V. Galati