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About: Bin covering problem     Goto   Sponge   NotDistinct   Permalink

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In the bin covering problem, items of different sizes must be packed into a finite number of bins or containers, each of which must contain at least a certain given total size, in a way that maximizes the number of bins used. This problem is a dual of the bin packing problem: in bin covering, the bin sizes are bounded from below and the goal is to maximize their number; in bin packing, the bin sizes are bounded from above and the goal is to minimize their number. The problem is NP-hard, but there are various efficient approximation algorithms: