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Valuated matroid-based algorithm for submodular welfare problem

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  • Takanori Maehara
  • Kazuo Murota

Abstract

An algorithm for the submodular welfare problem is proposed based on the theory of discrete convex analysis. The proposed algorithm is a heuristic method built upon the valuated matroid partition algorithms, and gives the exact optimal solution for a reasonable subclass of submodular welfare problems. The algorithm has a guaranteed approximation ratio for a special case. Computational results show fairly good performance of the proposed algorithm. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Takanori Maehara & Kazuo Murota, 2015. "Valuated matroid-based algorithm for submodular welfare problem," Annals of Operations Research, Springer, vol. 229(1), pages 565-590, June.
    • Handle: RePEc:spr:annopr:v:229:y:2015:i:1:p:565-590:10.1007/s10479-015-1835-3
    DOI: 10.1007/s10479-015-1835-3
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