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Linear waste of best fit bin packing on skewed distributions

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2 Author(s)
Kenyon, C. ; Paris-Sud Univ., France ; Mitzenmacher, M.

We prove that best-fit bin packing has linear waste on the discrete distribution U{j,k} (where items are drawn uniformly from the set {1/k, 2/k, ..., j/k}) for sufficiently large k when j=αk and 0.66⩽α<2/3. Our results extend to continuous skewed distributions, where items are drawn uniformly on [0,a], for 0.66⩽a<2/3. This implies that the expected asymptotic performance ratio of best-fit bin packing is strictly greater than 1 for these distributions

Published in:

Foundations of Computer Science, 2000. Proceedings. 41st Annual Symposium on

Date of Conference:

2000