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Valuated matroid-based algorithm for submodular welfare problem

delete2015-03-18
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T
Takanori Maehara *
K
Kazuo Murota
DOI:10.1007/s10479-015-1835-3delete
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Abstract

Abstract

En 中文
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.
Keywords:
Submodular welfare problem
Matroid
Heuristic algorithm
Discrete convex analysis
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Journal

Annals of Operations Research cover
Annals of Operations Research
IF:
4.5
Papers:
8.0K
Citations:
2.1W

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U
University of Tokyo
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Citations: 2.2K
S
Shizuoka University
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Citations: 2.3K