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New worst‐case results for the bin‐packing problem

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  • David Simchi‐Levi

Abstract

In this note we consider the familiar bin‐packing problem and provide new worst‐case results for a number of classical heuristics. We show that the first‐fit and best‐fit heuristics have an absolute performance ratio of no more than 1.75, and first‐fit decreasing and best‐fit decreasing heuristics have an absolute performance ratio of 1.5. The latter is the best possible absolute performance ratio for the bin‐packing problem, unless P = NP. © 1994 John Wiley & Sons, Inc.

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  • David Simchi‐Levi, 1994. "New worst‐case results for the bin‐packing problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(4), pages 579-585, June.
    • Handle: RePEc:wly:navres:v:41:y:1994:i:4:p:579-585
    DOI: 10.1002/1520-6750(199406)41:43.0.CO;2-G
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