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RANDOM
1999
Springer
13 years 11 months ago
Fast Approximate PCPs for Multidimensional Bin-Packing Problems
Abstract. We consider approximate PCPs for multidimensional bin-packing problems. In particular, we show how a verifier can be quickly convinced that a set of multidimensional blo...
Tugkan Batu, Ronitt Rubinfeld, Patrick White
FOCS
2006
IEEE
14 years 1 months ago
Improved approximation algorithms for multidimensional bin packing problems
In this paper we introduce a new general framework for set covering problems, based on the combination of randomized rounding of the (near-)optimal solution of the Linear Programm...
Nikhil Bansal, Alberto Caprara, Maxim Sviridenko
MOR
2006
123views more  MOR 2006»
13 years 7 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...
STOC
1999
ACM
104views Algorithms» more  STOC 1999»
13 years 11 months ago
Fast Approximate PCPs
We investigate the question of when a prover can aid a verifier to reliably compute a function faster than if the verifier were to compute the function on its own. Our focus is ...
Funda Ergün, Ravi Kumar, Ronitt Rubinfeld
FCT
2007
Springer
13 years 11 months ago
Multi-dimensional Packing with Conflicts
We study the multi-dimensional version of the bin packing problem with conflicts. We are given a set of squares V = {1, 2, . . . , n} with sides s1, s2, . . . , sn [0, 1] and a co...
Leah Epstein, Asaf Levin, Rob van Stee