Bin Packing with Fragmentable Items: Presentation and Approximations
Résumé
We consider a variant of the Bin Packing Problem dealing with fragmentable items. Given a fixed number of bins, the objective is to put all the items into the bins by splitting them in a minimum number of fragments. This problem is useful for modeling splittable resource allocation. In this paper we introduce the problem and its complexity then we present a 6/5 approximation algorithm for a special case in which all bins have the same capacities.
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