New Lower Bound for the Bin Packing Problem. In proceedings of the 3rd Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2007), 28 -31 August 2007, Paris, France, pages 234-241, 2007.
Paper
In this paper, we present new classes of lower bound for the one-dimensional bin packing problem, we prove that the worst-case asymptotic performance ratio of this bound is 3/4. Extensive numerical experiments show that this new bound outperforms the best lower bounds from the literature.
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@INPROCEEDINGS{2007-234-241-P, author = {B. Jarboui},
title = {New Lower Bound for the Bin Packing Problem},
booktitle = {In proceedings of the 3rd Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2007), 28 -31 August 2007, Paris, France},
year = {2007},
editor = {P. Baptiste and G. Kendall and A. Munier-Kordon and F. Sourd},
pages = {234--241},
note = {Paper},
abstract = {In this paper, we present new classes of lower bound for the one-dimensional bin packing problem, we prove that the worst-case asymptotic performance ratio of this bound is 3/4. Extensive numerical experiments show that this new bound outperforms the best lower bounds from the literature.},
owner = {Faizah Hamdan},
timestamp = {2012.05.21},
webpdf = {2007-234-241-P.pdf} }