Worst-case analysis of the subset sum algorithm for bin packing

Worst-case analysis of the subset sum algorithm for bin packing

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Article ID: iaor20043268
Country: Netherlands
Volume: 32
Issue: 2
Start Page Number: 159
End Page Number: 166
Publication Date: Mar 2004
Journal: Operations Research Letters
Authors: ,
Keywords: combinatorial analysis
Abstract:

We analyze the worst-case ratio of a natural heuristic for the bin packing problem, which proceeds by filling one bin at a time, each as much as possible. We show a nontrivial upper bound on this ratio of 4/3+ln4/3=1.6210…, almost matching a known lower bound.

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