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MFCS
2005
Springer
15 years 3 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
FCT
2007
Springer
15 years 3 months ago
Analysis of Approximation Algorithms for k-Set Cover Using Factor-Revealing Linear Programs
We present new combinatorial approximation algorithms for k-set cover. Previous approaches are based on extending the greedy algorithm by efficiently handling small sets. The new a...
Stavros Athanassopoulos, Ioannis Caragiannis, Chri...
CORR
2006
Springer
119views Education» more  CORR 2006»
14 years 9 months ago
Restricted Strip Covering and the Sensor Cover Problem
Suppose we are given a set of objects that cover a region and a duration associated with each object. Viewing the objects as jobs, can we schedule their beginning times to maximiz...
Adam L. Buchsbaum, Alon Efrat, Shaili Jain, Suresh...
CORR
2006
Springer
91views Education» more  CORR 2006»
14 years 9 months ago
Improved results for a memory allocation problem
We consider a memory allocation problem. This problem can be modeled as a version of bin packing where items may be split, but each bin may contain at most two (parts of) items. T...
Leah Epstein, Rob van Stee
SIAMJO
2008
175views more  SIAMJO 2008»
14 years 9 months ago
On Bin Packing with Conflicts
Abstract. We consider the offline and online versions of a bin packing problem called bin packing with conflicts. Given a set of items V = {1, 2, . . . , n} with sizes s1, s2 . . ....
Leah Epstein, Asaf Levin