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The proof of FFD(L) < -OPT(L) + 7/9

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References

  1. Baker, B. S., A new proof for the first-fit-decreasing bin-packing algorithm,J. Algorithms, 1985, 6: 49.

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  2. Yue Minyi, A simple proof of the inequality FFD(L) ≤ 11/9OPT(L) + 1, ∀L, for the FFD bin-packing algorithm,Acta Mathematicae Applicatae Sinica, 1991, 7(4): 321.

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Li, R., Yue, M. The proof of FFD(L) < -OPT(L) + 7/9. Chin.Sci.Bull. 42, 1262–1265 (1997). https://doi.org/10.1007/BF02882754

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