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CPAIOR
2008
Springer
13 years 11 months ago
Integrating Symmetry, Dominance, and Bound-and-Bound in a Multiple Knapsack Solver
Abstract. The multiple knapsack problem (MKP) is a classical combinatorial optimization problem. A recent algorithm for some classes of the MKP is bin-completion, a bin-oriented, b...
Alex S. Fukunaga
COMPGEOM
2009
ACM
14 years 3 months ago
PTAS for geometric hitting set problems via local search
We consider the problem of computing minimum geometric hitting sets in which, given a set of geometric objects and a set of points, the goal is to compute the smallest subset of p...
Nabil H. Mustafa, Saurabh Ray
CPAIOR
2008
Springer
13 years 11 months ago
The Accuracy of Search Heuristics: An Empirical Study on Knapsack Problems
Theoretical models for the evaluation of quickly improving search strategies, like limited discrepancy search, are based on specific assumptions regarding the probability that a va...
Daniel H. Leventhal, Meinolf Sellmann
CONSTRAINTS
2008
138views more  CONSTRAINTS 2008»
13 years 9 months ago
Minimization of Locally Defined Submodular Functions by Optimal Soft Arc Consistency
Submodular function minimization is a polynomially-solvable combinatorial problem. Unfortunately the best known general-purpose algorithms have high-order polynomial time complexi...
Martin C. Cooper
MOR
2000
90views more  MOR 2000»
13 years 9 months ago
A PTAS for Minimizing the Total Weighted Completion Time on Identical Parallel Machines
We consider the problem of scheduling a set of n jobs on m identical parallel machines so as to minimize the weighted sum of job completion times. This problem is NP-hard in the s...
Martin Skutella, Gerhard J. Woeginger