Filtering numerical CSPs using well-constrained subsystems

Ignacio Araya, Gilles Trombettoni, Bertrand Neveu

Resultado de la investigación: Capítulo del libro/informe/acta de congresoContribución a la conferenciarevisión exhaustiva

3 Citas (Scopus)

Resumen

When interval methods handle systems of equations over the reals, two main types of filtering/contraction algorithms are used to reduce the search space. When the system is well-constrained, interval Newton algorithms behave like a global constraint over the whole n ×n system. Also, filtering algorithms issued from constraint programming perform an AC3-like propagation loop, where the constraints are iteratively handled one by one by a revise procedure. Applying a revise procedure amounts in contracting a 1 ×1 subsystem. This paper investigates the possibility of defining contracting well-constrained subsystems of size k (1≤ k ;≤ n). We theoretically define the Box-k-consistency as a generalization of the state-of-the-art Box-consistency. Well-constrained subsystems act as global constraints that can bring additional filtering w.r.t. interval Newton and 1 ×1 standard subsystems. Also, the filtering performed inside a subsystem allows the solving process to learn interesting multi-dimensional branching points, i.e., to bisect several variable domains simultaneously. Experiments highlight gains in CPU time w.r.t. state-of-the-art algorithms on decomposed and structured systems.

Idioma originalInglés
Título de la publicación alojadaPrinciples and Practice of Constraint Programming - CP 2009 - 15th International Conference, CP 2009, Proceedings
Páginas158-172
Número de páginas15
DOI
EstadoPublicada - 2009
Publicado de forma externa
Evento15th International Conference on Principles and Practice of Constraint Programming, CP 2009 - Lisbon, Portugal
Duración: 20 sep 200924 sep 2009

Serie de la publicación

NombreLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volumen5732 LNCS
ISSN (versión impresa)0302-9743
ISSN (versión digital)1611-3349

Conferencia

Conferencia15th International Conference on Principles and Practice of Constraint Programming, CP 2009
País/TerritorioPortugal
CiudadLisbon
Período20/09/0924/09/09

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