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» Formulations and Reformulations in Integer Programming
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CPAIOR
2005
Springer
14 years 15 days 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 5 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 10 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 11 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 7 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