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» Formulations and Reformulations in Integer Programming
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CPAIOR
2005
Springer
13 years 10 months ago
Formulations and Reformulations in Integer Programming
Creating good integer programming formulations had, as a basic axiom, the rule “Find formulations with tighter linear relaxations”. This rule, while useful when using unsophist...
Michael A. Trick
MP
2010
128views more  MP 2010»
13 years 3 months ago
Perspective reformulations of mixed integer nonlinear programs with indicator variables
Abstract. We study mixed integer nonlinear programs (MINLP)s that are driven by a collection of indicator variables where each indicator variable controls a subset of the decision ...
Oktay Günlük, Jeff Linderoth
EOR
2011
106views more  EOR 2011»
12 years 8 months ago
Probability of unique integer solution to a system of linear equations
We consider a system of m linear equations in n variables Ax = d and give necessary and sufficient conditions for the existence of a unique solution to the system that is integer:...
O. L. Mangasarian, Benjamin Recht
CCO
2001
Springer
168views Combinatorics» more  CCO 2001»
13 years 9 months ago
Mathematical Programming Models and Formulations for Deterministic Production Planning Problems
Abstract. We study in this lecture the literature on mixed integer programming models and formulations for a specific problem class, namely deterministic production planning probl...
Yves Pochet
EOR
2010
113views more  EOR 2010»
13 years 5 months ago
Optimal solutions for unrelated parallel machines scheduling problems using convex quadratic reformulations
We consider the unrelated parallel machines scheduling problem where jobs have earliness and tardiness penalties and a common due date. We formulate this problem and some of its v...
Marie-Christine Plateau, Yasmin A. Rios-Solis