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» On the bounded integer programming
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MFCS
2005
Springer
14 years 1 months ago
Greedy Approximation via Duality for Packing, Combinatorial Auctions and Routing
We study simple greedy approximation algorithms for general class of integer packing problems. We provide a novel analysis based on the duality theory of linear programming. This e...
Piotr Krysta
SWAT
2010
Springer
294views Algorithms» more  SWAT 2010»
13 years 5 months ago
Bin Packing with Fixed Number of Bins Revisited
As Bin Packing is NP-hard already for k = 2 bins, it is unlikely to be solvable in polynomial time even if the number of bins is a fixed constant. However, if the sizes of the item...
Klaus Jansen, Stefan Kratsch, Dániel Marx, ...
ISAAC
2009
Springer
121views Algorithms» more  ISAAC 2009»
14 years 2 months ago
Generalized Reduction to Compute Toric Ideals
Toric ideals have many applications including solving integer programs. Several algorithms for computing the toric ideal of an integer matrix are available in the literature. Since...
Deepanjan Kesh, Shashank K. Mehta
IPL
2007
74views more  IPL 2007»
13 years 7 months ago
Nonnegative integral subset representations of integer sets
We consider an integer-subset representation problem motivated by a medical application in radiation therapy. We prove NP-completeness, derive nontrivial bounds, and report on the...
Michael J. Collins, David Kempe, Jared Saia, Maxwe...
CORR
2010
Springer
152views Education» more  CORR 2010»
13 years 7 months ago
A Faster Algorithm for Quasi-convex Integer Polynomial Optimization
We present a faster exponential-time algorithm for integer optimization over quasi-convex polynomials. We study the minimization of a quasiconvex polynomial subject to s quasi-con...
Robert Hildebrand, Matthias Köppe