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MP
2010
79views more  MP 2010»
13 years 10 months ago
MIP reformulations of the probabilistic set covering problem
Anureet Saxena, Vineet Goyal, Miguel A. Lejeune
MP
2010
149views more  MP 2010»
13 years 10 months ago
Copositive programming motivated bounds on the stability and the chromatic numbers
The Lov´asz theta number of a graph G can be viewed as a semidefinite programming relaxation of the stability number of G. It has recently been shown that a copositive strengthe...
Igor Dukanovic, Franz Rendl
MP
2010
94views more  MP 2010»
13 years 10 months ago
MIR closures of polyhedral sets
We study the mixed-integer rounding (MIR) closures of polyhedral sets. The MIR closure of a polyhedral set is equal to its split closure and the associated separation problem is N...
Sanjeeb Dash, Oktay Günlük, Andrea Lodi
MP
2010
145views more  MP 2010»
13 years 10 months ago
The traveling salesman problem with pickup and delivery: polyhedral results and a branch-and-cut algorithm
The Traveling Salesman Problem with Pickup and Delivery (TSPPD) is defined on a graph containing pickup and delivery vertices between which there exists a one-toone relationship. ...
Irina Dumitrescu, Stefan Ropke, Jean-Franço...
MP
2010
156views more  MP 2010»
13 years 10 months ago
Representing the space of linear programs as the Grassmann manifold
: Each linear program (LP) has an optimal basis. The space of linear programs can be partitioned according to these bases, so called the basis partition. Discovering the structures...
Gongyun Zhao
MP
2010
81views more  MP 2010»
13 years 10 months ago
Lifting inequalities: a framework for generating strong cuts for nonlinear programs
In this paper, we propose lifting techniques for generating strong cuts for nonlinear programs that are globally-valid. The theory is geometric and provides intuition into lifting...
Jean-Philippe P. Richard, Mohit Tawarmalani
MP
2010
157views more  MP 2010»
13 years 10 months ago
Newton's method for generalized equations: a sequential implicit function theorem
In the extension of Newton’s method to generalized equations, applying to variational inequalities as a special case, convergence analysis relates to a corresponding implicit fun...
Asen L. Dontchev, R. Tyrrell Rockafellar
MP
2010
146views more  MP 2010»
13 years 10 months ago
A retrospective trust-region method for unconstrained optimization
Fabian Bastin, Vincent Malmedy, Mélodie Mou...
MP
2010
103views more  MP 2010»
13 years 10 months ago
Relations between facets of low- and high-dimensional group problems
In this paper, we introduce an operation that creates families of facet-defining inequalities for highdimensional infinite group problems using facet-defining inequalities of l...
Santanu S. Dey, Jean-Philippe P. Richard
MP
2010
66views more  MP 2010»
13 years 10 months ago
Mingling: mixed-integer rounding with bounds
Alper Atamtürk, Oktay Günlük