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IPCO
2007
94views Optimization» more  IPCO 2007»
13 years 10 months ago
Infrastructure Leasing Problems
Consider the following Steiner Tree leasing problem. Given a graph G = (V, E) with root r, and a sequence of terminal sets Dt ⊆ V for each day t ∈ [T]. A feasible solution to t...
Barbara M. Anthony, Anupam Gupta
IPCO
2007
109views Optimization» more  IPCO 2007»
13 years 10 months ago
Inequalities from Two Rows of a Simplex Tableau
In this paper we explore the geometry of the integer points in a cone rooted at a rational point. This basic geometric object allows us to establish some links between lattice poin...
Kent Andersen, Quentin Louveaux, Robert Weismantel...
IPCO
2007
98views Optimization» more  IPCO 2007»
13 years 10 months ago
Scheduling with Precedence Constraints of Low Fractional Dimension
Abstract. We consider the single machine scheduling problem to minimize the average weighted completion time under precedence constrains. Improving on the various 2-approximation a...
Christoph Ambühl, Monaldo Mastrolilli, Nikola...
IPCO
2008
105views Optimization» more  IPCO 2008»
13 years 10 months ago
Can Pure Cutting Plane Algorithms Work?
We discuss an implementation of the lexicographic version of Gomory's fractional cutting plane method and of two heuristics mimicking the latter. In computational testing on a...
Arrigo Zanette, Matteo Fischetti, Egon Balas
IPCO
2008
188views Optimization» more  IPCO 2008»
13 years 10 months ago
Binary Positive Semidefinite Matrices and Associated Integer Polytopes
We consider the positive semidefinite (psd) matrices with binary entries. We give a characterisation of such matrices, along with a graphical representation. We then move on to co...
Adam N. Letchford, Michael M. Sørensen
IPCO
2008
118views Optimization» more  IPCO 2008»
13 years 10 months ago
Constraint Orbital Branching
Orbital branching is a method for branching on variables in integer programming that reduces the likelihood of evaluating redundant, isomorphic nodes in the branch-and-bound proce...
James Ostrowski, Jeff Linderoth, Fabrizio Rossi, S...
IPCO
2008
91views Optimization» more  IPCO 2008»
13 years 10 months ago
New Geometry-Inspired Relaxations and Algorithms for the Metric Steiner Tree Problem
Abstract. Determining the integrality gap of the bidirected cut relaxation for the metric Steiner tree problem, and exploiting it algorithmically, is a long-standing open problem. ...
Deeparnab Chakrabarty, Nikhil R. Devanur, Vijay V....