The survey presents an overview of approximation algorithms for the classical bin packing problem and reviews the more important results on performance guarantees. Both on-line and off-line algorithms are analyzed. The investigation is extended to variants of the problem through an extensive review of dual versions, variations on bin sizes and item packing, as well as those produced by additional constraints. The bin packing papers are classified according to a novel scheme that allows one to create a compact synthesis of the topic, the main results, and the corresponding algorithms.
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