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2015
DOI: 10.1016/j.tcs.2015.08.005
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Bin packing with fragmentable items: Presentation and approximations

Abstract: 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 -approximation algorithm for a special case in which all bins have the same capacities.

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Cited by 28 publications
(37 citation statements)
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“…The problem becomes complex when one or more of the above variants applies while keeping homogeneous bins (i.e., bins with the same cost and size). Moreover, the problem complexity becomes even worse when heterogeneous bins are used, i.e., when the bins have variable cost and size [34,35].…”
Section: Literature Reviewmentioning
confidence: 99%
“…The problem becomes complex when one or more of the above variants applies while keeping homogeneous bins (i.e., bins with the same cost and size). Moreover, the problem complexity becomes even worse when heterogeneous bins are used, i.e., when the bins have variable cost and size [34,35].…”
Section: Literature Reviewmentioning
confidence: 99%
“…When decomposing R into subsets to be stored in the different switches and adding forward rules to solve action conflicts, the decomposition problem is formulated as a Bin Packing problem with fragmentable items [15] where each fragmentation induces a cost.…”
Section: B Distribution and Decomposition Requirementsmentioning
confidence: 99%
“…In this section, we model the partition allocation by a variant of bin packing problem [13,19] . In the bin packing model, bins correspond to partitions as well as objects correspond to intervals.…”
Section: Modelmentioning
confidence: 99%