Online Bin Stretching with Three Bins
Data Structures and Algorithms
2016-02-02 v3
Abstract
Online Bin Stretching is a semi-online variant of bin packing in which the algorithm has to use the same number of bins as an optimal packing, but is allowed to slightly overpack the bins. The goal is to minimize the amount of overpacking, i.e., the maximum size packed into any bin. We give an algorithm for Online Bin Stretching with a stretching factor of for three bins. Additionally, we present a lower bound of for Online Bin Stretching on three bins and a lower bound of for four and five bins that were discovered using a computer search.
Keywords
Cite
@article{arxiv.1404.5569,
title = {Online Bin Stretching with Three Bins},
author = {Martin Böhm and Jiří Sgall and Rob van Stee and Pavel Veselý},
journal= {arXiv preprint arXiv:1404.5569},
year = {2016}
}
Comments
Preprint of a journal version. See version 2 for the conference paper. Conference paper split into two journal submissions; see arXiv:1601.08111