Minimum Lk path partitioning–An illustration of the Monge property

Minimum Lk path partitioning–An illustration of the Monge property

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Article ID: iaor20102793
Volume: 36
Issue: 1
Start Page Number: 43
End Page Number: 45
Publication Date: Jan 2008
Journal: Operations Research Letters
Authors: , ,
Keywords: numerical analysis
Abstract:

We investigate the problem of cutting a given sequence of positive real numbers into p pieces, with the objective of minimizing the Lk norm of the sums of the numbers in these pieces. We observe that this problem satisfies a Monge property, and thus derive fast algorithms for it.

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