New bin packing fast lower bounds. Crainic, T. G., Perboli, G., Pezzuto, M., & Tadei, R. Comput. Oper. Res., 34(11):3439--3457, 2007.
Paper abstract bibtex In this paper, we address the issue of computing fast lower bounds for the Bin Packing problem, i.e., bounds that have a computational complexity dominated by the complexity of ordering the items by non-increasing values of their volume. We introduce new classes of fast lower bounds with improved asymptotic worst-case performance compared to well-known results for similar computational effort. Experimental results on a large set of problem instances indicate that the proposed bounds reduce both the deviation from the optimum and the computational effort.
@article{crainic_new_2007,
title = {New bin packing fast lower bounds},
volume = {34},
url = {http://portal.acm.org/citation.cfm?id=1236144},
abstract = {In this paper, we address the issue of computing fast lower bounds for the Bin Packing problem, i.e., bounds that have a computational complexity dominated by the complexity of ordering the items by non-increasing values of their volume. We introduce new classes of fast lower bounds with improved asymptotic worst-case performance compared to well-known results for similar computational effort. Experimental results on a large set of problem instances indicate that the proposed bounds reduce both the deviation from the optimum and the computational effort.},
number = {11},
urldate = {2010-04-02TZ},
journal = {Comput. Oper. Res.},
author = {Crainic, Teodor Gabriel and Perboli, Guido and Pezzuto, Miriam and Tadei, Roberto},
year = {2007},
keywords = {Bin packing, lower bounds},
pages = {3439--3457}
}
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