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Fast approximate PCPs for multidimensional bin-packing problem

By Tugkan Batu, Ronitt Rubinfeld and Patrick White


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 blocks can be packed into a small number of bins. The running time of the verifier is bounded by O(T(n)), where T(n) is the time required to test for heaviness. We give heaviness testers that can test heaviness of an element in the domain [1, ...,n]d in time O((log n)d). We also also give approximate PCPs with efficient verifiers for recursive bin packing and multidimensional routing

Topics: QA Mathematics
Publisher: Springer
Year: 1999
DOI identifier: 10.1109/SFCS.2000.892113
OAI identifier:
Provided by: LSE Research Online
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