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@inproceedings{Bansal2016ImprovedAF, title={Improved Approximation for Vector Bin Packing}, author={Nikhil Bansal and Marek Eli{\'a}s and Arindam Khan}, booktitle={SODA}, year={2016} }

- Published 2016 in SODA

We study the d-dimensional vector bin packing problem, a well-studied generalization of bin packing arising in resource allocation and scheduling problems. Here we are given a set of d-dimensional vectors v1, . . . , vn in [0, 1] , and the goal is to pack them into the least number of bins so that for each bin B, the sum of the vectors in it is at most 1 in every dimension, i.e., || ∑ vi∈B vi||∞ ≤ 1. For the 2-dimensional case we give an asymptotic approximation guarantee of 1 + ln(1.5)+ ≈ (1… CONTINUE READING

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