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SIAMJO
2010
135views more  SIAMJO 2010»
14 years 8 months ago
On the Complexity of Selecting Disjunctions in Integer Programming
The imposition of general disjunctions of the form “πx ≤ π0 ∨ πx ≥ π0 + 1”, where π, π0 are integer valued, is a fundamental operation in both the branch-and-bound...
Ashutosh Mahajan, Ted K. Ralphs
IOR
2006
177views more  IOR 2006»
14 years 9 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
175views more  MP 2006»
14 years 9 months ago
Conditional Value-at-Risk in Stochastic Programs with Mixed-Integer Recourse
In classical two-stage stochastic programming the expected value of the total costs is minimized. Recently, mean-risk models - studied in mathematical finance for several decades -...
Rüdiger Schultz, Stephan Tiedemann
COLOGNETWENTE
2009
14 years 10 months ago
Integer Programming with 2-Variable Equations and 1-Variable Inequalities
We present an efficient algorithm to find an optimal integer solution of a given system of 2-variable equalities and 1-variable inequalities with respect to a given linear objectiv...
Manuel Bodirsky, Gustav Nordh, Timo von Oertzen
CPAIOR
2006
Springer
15 years 1 months ago
AND/OR Branch-and-Bound Search for Pure 0/1 Integer Linear Programming Problems
Abstract. AND/OR search spaces have recently been introduced as a unifying paradigm for advanced algorithmic schemes for graphical models. The main virtue of this representation is...
Radu Marinescu 0002, Rina Dechter