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» Approximation schemes for clustering problems
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CP
2004
Springer
15 years 3 months ago
Quality of LP-Based Approximations for Highly Combinatorial Problems
We study the quality of LP-based approximation methods for pure combinatorial problems. We found that the quality of the LPrelaxation is a direct function of the underlying constra...
Lucian Leahu, Carla P. Gomes
FOCS
1995
IEEE
15 years 1 months ago
An Approximation Scheme for Planar Graph TSP
We consider the special case of the traveling salesman problem TSP in which the distance metric is the shortest-path metric of a planar unweighted graph. We present a polynomial...
Michelangelo Grigni, Elias Koutsoupias, Christos H...
IPL
2008
78views more  IPL 2008»
14 years 9 months ago
An approximation ratio for biclustering
The problem of biclustering consists of the simultaneous clustering of rows and columns of a matrix such that each of the submatrices induced by a pair of row and column clusters ...
Kai Puolamäki, Sami Hanhijärvi, Gemma C....
EUROPAR
2008
Springer
14 years 11 months ago
Bi-objective Approximation Scheme for Makespan and Reliability Optimization on Uniform Parallel Machines
We study the problem of scheduling independent tasks on a set of related processors which have a probability of failure governed by an exponential law. We are interested in the bi-...
Emmanuel Jeannot, Erik Saule, Denis Trystram
MOR
2006
123views more  MOR 2006»
14 years 9 months ago
Bin Packing in Multiple Dimensions: Inapproximability Results and Approximation Schemes
We study the multidimensional generalization of the classical Bin Packing problem: Given a collection of d-dimensional rectangles of specified sizes, the goal is to pack them into ...
Nikhil Bansal, José R. Correa, Claire Kenyo...