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SAC
2005
ACM

Box-set consistency for interval-based constraint problems

14 years 5 months ago
Box-set consistency for interval-based constraint problems
As opposed to finite domain CSPs, arc consistency cannot be enforced, in general, on CSPs over the reals, including very simple instances. In contrast, a stronger property, the so-called box-set consistency, that requires a no-split condition in addition to arc consistency, can be obtained on a much larger number of problems. To obtain this property, we devise a lazy algorithm that combines hull consistency filtering, interval union projection, and intelligent domain splitting. It can be applied to any numerical CSP, and achieves box-set consistency if constraints are redundancy-free in terms of variables. This holds even if the problem is not intervalconvex. The main contribution of our approach lies in the way we bypass the non-convexity issue, which so far was a synonym for either a loss of accuracy or an unbounded growth of label size. We prove the correctness of our algorithm and through experimental results, we show that, as compared to a strategy based on a standard bisection...
Gilles Chabert, Gilles Trombettoni, Bertrand Neveu
Added 26 Jun 2010
Updated 26 Jun 2010
Type Conference
Year 2005
Where SAC
Authors Gilles Chabert, Gilles Trombettoni, Bertrand Neveu
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