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A tight asymptotic bound for next-fit-decreasing bin-packing. (English) Zbl 0496.68049


MSC:

68R99 Discrete mathematics in relation to computer science
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[1] Aho, A. V.; Sloane, N. J. A., Some doubly exponential sequences, Fibonacci Quart., 11, 429, (1973) · Zbl 0277.10011
[2] Garey, M. R.; Graham, R. L.; Johnson, D. S.; Yao, A. C., Resource constrained scheduling as generalized bin packing, J. Combinatorial Theory Ser. A, 21, 257, (1976) · Zbl 0384.90053
[3] Garey, MichaelR.; Johnson, DavidS., Computers and intractability, (1979) · Zbl 0411.68039
[4] Golomb, S., On certain nonlinear recurring sequences, Amer. Math. Monthly, 70, 403, (1963) · Zbl 0139.26705
[5] Johnson, DavidS., Fast algorithms for bin packing, J. Comput. System Sci., 8, 272, (1974) · Zbl 0284.68023
[6] Johnson, D. S.; Demers, A.; Ullman, J. D.; Garey, M. R.; Graham, R. L., Worst-case performance bounds for simple one-dimensional packing algorithms, SIAM J. Comput., 3, 299, (1974) · Zbl 0297.68028 · doi:10.1137/0203025
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