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RANDOM
1999
Springer
14 years 3 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 4 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 10 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»
14 years 3 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
14 years 2 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