Maintaining Virtual Arc Consistency Dynamically during Search

Hiep Nguyen 1 Simon de Givry 2 Thomas Schiex 3 Christian Bessière 4, *
* Corresponding author
1 ISPED - Institut de Santé Publique, d'Epidémiologie et de Développement
2 UBIA - Unité de Biométrie et Intelligence Artificielle
3 MIAT INRA - Unité de Mathématiques et Informatique Appliquées de Toulouse
4 COCONUT - Agents, Apprentissage, Contraintes
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : Virtual Arc Consistency (VAC) is a recent local consistency for processing cost function networks (aka weighted constraint networks) that exploits a simple but powerful connection with standard constraint networks. It has allowed to close hard frequency assignment benchmarks and is capable of directly solving networks of submodular functions. The algorithm enforcing VAC is an iterative algorithm that solves a sequence of standard constraint networks. This algorithm has been improved by exploiting the idea of dynamic arc consistency between each iteration, leading to the dynamic VAC algorithm. When VAC is maintained during search, the difference between two adjacent nodes in the search tree is also limited. In this paper, we show that the incrementality of Dynamic VAC can also be useful when maintaining VAC during search and we present results showing that maintaining dynamic VAC during search can effectively accelerate search.
Keywords : Weighted CSP Cost Function Networks Arc consistency Dynamic arc consistency Virtual arc consistency
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Hiep Nguyen, Simon de Givry, Thomas Schiex, Christian Bessière. Maintaining Virtual Arc Consistency Dynamically during Search. ICTAI: International Conference on Tools with Artificial Intelligence, Nov 2014, Limassol, Cyprus. pp.8-15, ⟨10.1109/ICTAI.2014.13⟩. ⟨lirmm-01228369⟩

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