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MP
2010
163views more  MP 2010»
8 years 2 months ago
Speeding up IP-based algorithms for constrained quadratic 0-1 optimization
In many practical applications, the task is to optimize a non-linear objective function over the vertices of a well-studied polytope as, e.g., the matching polytope or the travelli...
Christoph Buchheim, Frauke Liers, Marcus Oswald
MP
2010
80views more  MP 2010»
8 years 2 months ago
Mixing MIR inequalities with two divisible coefficients
Miguel Constantino, Andrew J. Miller, Mathieu Van ...
MP
2010
150views more  MP 2010»
8 years 2 months ago
The algebraic degree of semidefinite programming
Given a generic semidefinite program, specified by matrices with rational entries, each coordinate of its optimal solution is an algebraic number. We study the degree of the minima...
Jiawang Nie, Kristian Ranestad, Bernd Sturmfels
MP
2010
132views more  MP 2010»
8 years 2 months ago
Exploiting group symmetry in semidefinite programming relaxations of the quadratic assignment problem
We consider semidefinite programming relaxations of the quadratic assignment problem, and show how to exploit group symmetry in the problem data. Thus we are able to compute the b...
Etienne de Klerk, Renata Sotirov
MP
2010
97views more  MP 2010»
8 years 2 months ago
Semidefinite representation of convex sets
Let S = {x Rn : g1(x) 0,
J. William Helton, Jiawang Nie
MP
2010
92views more  MP 2010»
8 years 2 months ago
Single item lot-sizing with non-decreasing capacities
We consider the single item lot-sizing problem with capacities that are non-decreasing over time. When the cost function is i) non-speculative or Wagner-Whitin (for instance, cons...
Yves Pochet, Laurence A. Wolsey
MP
2010
154views more  MP 2010»
8 years 5 months ago
A null-space primal-dual interior-point algorithm for nonlinear optimization with nice convergence properties
Abstract. We present a null-space primal-dual interior-point algorithm for solving nonlinear optimization problems with general inequality and equality constraints. The algorithm a...
Xinwei Liu, Yaxiang Yuan
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