Technical Report CS0324

Title: A Stochastic Analysis of the NFD Bin Packing Algorithm
Authors: Micha Hofri and Sami Kamhi
Abstract: We consider the Next-Fit-Decreasing (NFD) algorithm for the one-dimensional bin packing problem. The input consists of n pieces of i.i.d. sizes. Bounds on the first two moments are established for arbitrary size distributions. These bounds are asymptptically tight. For the uniform distribution we also exhibit numerical results and examine their dependence on the support of the size distribution.
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