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Handbook of Combinatorial Optimization pp 455–531Cite as

Bin Packing Approximation Algorithms: Survey and Classification

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Abstract

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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Acknowledgements

The second author was supported by Project “TÁMOP-4.2.1/B-09/1/KONV-2010-0005 - Creating the Center of Excellence at the University of Szeged,” supported by the European Union and cofinanced by the European Regional Development Fund.

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  1. Department of Computer Science, Columbia University, Mudd Bldg Rm. 1243, 500 W. 120th St., 10027, New York, NY, USA

    Edward G. Coffman Jr., János Csirik, Gábor Galambos, Silvano Martello & Daniele Vigo

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Correspondence to Edward G. Coffman Jr. , János Csirik , Gábor Galambos , Silvano Martello or Daniele Vigo .

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    Panos M. Pardalos

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    Ding-Zhu Du

  3. Dept. Comp. Sci. & Engineering, University of California, San Diego, La Jolla, California, USA

    Ronald L. Graham

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Coffman Jr., E.G., Csirik, J., Galambos, G., Martello, S., Vigo, D. (2013). Bin Packing Approximation Algorithms: Survey and Classification. In: Pardalos, P., Du, DZ., Graham, R. (eds) Handbook of Combinatorial Optimization. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7997-1_35

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