The maximum saving partition problem

  • Authors:
  • Refael Hassin;JéRôMe Monnot

  • Affiliations:
  • Department of Statistics and Operations Research, Tel-Aviv University, Tel Aviv 69978, Israel;LAMSADE CNRS, Université Paris-Dauphine, France

  • Venue:
  • Operations Research Letters
  • Year:
  • 2005

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Abstract

The input to the MAXIMUM SAVING PARTITION PROBLEM consists of a set V={1,...,n}, weights w"i, a function f, and a family S of feasible subsets of V. The output is a partition (S"1,...,S"l) such that S"i@?S, and @?"j"@?"Vw"j-@?"i"="1^lf(S"i) is maximized. We present a general 12-approximation algorithm, and improved algorithms for special cases of the function f.