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LS-DTKMS: A Local Search Algorithm for Diversified Top-k MaxSAT Problem

Authors: Junping Zhou, Jiaxin Liang, Minghao Yin, and Bo He

Published in: LIPIcs, Volume 271, 26th International Conference on Theory and Applications of Satisfiability Testing (SAT 2023)


Abstract
The Maximum Satisfiability (MaxSAT), an important optimization problem, has a range of applications, including network routing, planning and scheduling, and combinatorial auctions. Among these applications, one usually benefits from having not just one single solution, but k diverse solutions. Motivated by this, we study an extension of MaxSAT, named Diversified Top-k MaxSAT (DTKMS) problem, which is to find k feasible assignments of a given formula such that each assignment satisfies all hard clauses and all of them together satisfy the maximum number of soft clauses. This paper presents a local search algorithm, LS-DTKMS, for DTKMS problem, which exploits novel scoring functions to select variables and assignments. Experiments demonstrate that LS-DTKMS outperforms the top-k MaxSAT based DTKMS solvers and state-of-the-art solvers for diversified top-k clique problem.

Cite as

Junping Zhou, Jiaxin Liang, Minghao Yin, and Bo He. LS-DTKMS: A Local Search Algorithm for Diversified Top-k MaxSAT Problem. In 26th International Conference on Theory and Applications of Satisfiability Testing (SAT 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 271, pp. 29:1-29:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)


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@InProceedings{zhou_et_al:LIPIcs.SAT.2023.29,
  author =	{Zhou, Junping and Liang, Jiaxin and Yin, Minghao and He, Bo},
  title =	{{LS-DTKMS: A Local Search Algorithm for Diversified Top-k MaxSAT Problem}},
  booktitle =	{26th International Conference on Theory and Applications of Satisfiability Testing (SAT 2023)},
  pages =	{29:1--29:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-286-0},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{271},
  editor =	{Mahajan, Meena and Slivovsky, Friedrich},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SAT.2023.29},
  URN =		{urn:nbn:de:0030-drops-184912},
  doi =		{10.4230/LIPIcs.SAT.2023.29},
  annote =	{Keywords: Top-k, MaxSAT, local search}
}
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