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Deep Cooperation of Local Search and Unit Propagation Techniques

Authors Xiamin Chen , Zhendong Lei , Pinyan Lu

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LIPIcs.CP.2024.6.pdf
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Author Details

Xiamin Chen
  • Shanghai University of Finance and Economics, China
Zhendong Lei
  • Huawei Taylor Lab, Shanghai, China
Pinyan Lu
  • Shanghai University of Finance and Economics, Shanghai, China
  • Huawei Taylor Lab, Shanghai, China

Funding

  • Lu, Pinyan: National Key R&D Program of China (2023YFA1009500).

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Xiamin Chen, Zhendong Lei, and Pinyan Lu. Deep Cooperation of Local Search and Unit Propagation Techniques. In 30th International Conference on Principles and Practice of Constraint Programming (CP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 307, pp. 6:1-6:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024) https://doi.org/10.4230/LIPIcs.CP.2024.6

Abstract

Local search (LS) is an efficient method for solving combinatorial optimization problems such as MaxSAT and Pseudo Boolean Problems (PBO). However, due to a lack of reasoning power and global information, LS methods get stuck at local optima easily. In contrast to the LS, Systematic Search utilizes unit propagation and clause learning techniques with strong reasoning capabilities to avoid falling into local optima. Nevertheless, the complete search is generally time-consuming to obtain a global optimal solution. This work proposes a deep cooperation framework combining local search and unit propagation to address their inherent disadvantages. First, we design a mechanism to detect when LS gets stuck, and then a well-designed unit propagation procedure is called upon to help escape the local optima. To the best of our knowledge, we are the first to integrate unit propagation technique within LS to overcome local optima. Experiments based on a broad range of benchmarks from MaxSAT Evaluations, PBO competitions, the Mixed Integer Programming Library, and three real-life cases validate that our method significantly improves three state-of-the-art MaxSAT and PBO local search solvers.

Subject Classification

ACM Subject Classification
  • Mathematics of computing → Combinatorial optimization
Keywords
  • PBO
  • Partial MaxSAT
  • LS
  • CDCL

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