Nogood-based asynchronous forward checking algorithms

  • Authors:
  • Mohamed Wahbi;Redouane Ezzahir;Christian Bessiere;El Houssine Bouyakhf

  • Affiliations:
  • École des Mines de Nantes, Nantes, France;ENSA Agadir, University Ibn Zohr, Agadir, Morocco;University of Montpellier, Montpellier, France;LIMIARF, University Mohammed V Agdal, Rabat, Morocco

  • Venue:
  • Constraints
  • Year:
  • 2013

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Abstract

We propose two new algorithms for solving Distributed Constraint Satisfaction Problems (DisCSPs). The first algorithm, AFC-ng, is a nogood-based version of Asynchronous Forward Checking (AFC). Besides its use of nogoods as justification of value removals, AFC-ng allows simultaneous backtracks going from different agents to different destinations. The second algorithm, Asynchronous Forward Checking Tree (AFC-tree), is based on the AFC-ng algorithm and is performed on a pseudo-tree ordering of the constraint graph. AFC-tree runs simultaneous search processes in disjoint problem subtrees and exploits the parallelism inherent in the problem. We prove that AFC-ng and AFC-tree only need polynomial space. We compare the performance of these algorithms with other DisCSP algorithms on random DisCSPs and instances from real benchmarks: sensor networks and distributed meeting scheduling. Our experiments show that AFC-ng improves on AFC and that AFC-tree outperforms all compared algorithms, particularly on sparse problems.