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Worst-case analysis of the subset sum algorithm for bin packing
Authors:Alberto Caprara  Ulrich Pferschy
Institution:a DEIS, Dipartimento di Elettronica, Informatica e Sistemistica, University of Bologna, Viale Risorgimento 2, I-40136 Bologna, Italy
b Department of Statistics and Operations Research, University of Graz, Universitaetsstr. 15, A-8010 Graz, Austria
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 View the MathML source, almost matching a known lower bound.
Keywords:Bin packing  Subset sum heuristic  Worst-case analysis
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