Linear Waste of Best Fit Bin Packing on Skewed Distributions

We prove that Best Fit bin packing has linear waste on the discrete distribution Ufj kg (where items are drawn uniformly from the set f1=k 2=3 j=kg) for sufficiently large k when j = k and 0:66 < 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 is strictly greater than 1 for these distributions.

• Type: Conference
• Year: 2000
• Where: FOCS
• Authors: Claire Kenyon, Michael Mitzenmacher
• Keywords: Asymptotic Performance Ratio, Continuous Skewed Distributions, Distribution Ufj Kg, FOCS 2000, Theoretical Computer Science