The maximum saving partition problem

The maximum saving partition problem

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Article ID: iaor20051974
Country: Netherlands
Volume: 33
Issue: 3
Start Page Number: 242
End Page Number: 248
Publication Date: May 2005
Journal: Operations Research Letters
Authors: ,
Keywords: networks: scheduling
Abstract:

The input to the maximum saving partition problem consists of a set V=1,…,n, weights wi, a function ƒ, and a family S of feasible subsets of V. The output is a partition (S1,…,Sl) such that SiS, and j∈V ωj − ∑li=1 ƒ(Si) is maximized. We present a general 1/2-approximation algorithm, and improved algorithms for special cases of the function ƒ.

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