Divergence-proving Techniques for Best Fit Bin Packing and Random Fit
نویسندگان
چکیده
This work discusses my attempts to extend Kenyon and Mitzenmacher’s technique for proving diveregnce of the online approximation algorithm Best Fit to Random Fit – another approximation algorithm for the well-known NP-hard problem of bin packing. In specific, the paper goes over Kenyon and Mitzenmacher’s recent advances on divergence of the waste of Best Fit bin packing for the skewed distributions U{αk, k} with α ∈ [0.66, 2/3) in detail, and describes the modifications I made to their methods in attempt to prove diveregence for Random Fit under the same input conditions.
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