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Constructive Interval Disjunction

  • Gilles Trombettoni
  • Gilles Chabert
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4741)

Abstract

This paper presents two new filtering operators for numerical CSPs (systems with constraints over the reals) based on constructive disjunction, as well as a new splitting heuristic. The fist operator (CID) is a generic algorithm enforcing constructive disjunction with intervals. The second one (3BCID) is a hybrid algorithm mixing constructive disjunction and shaving, another technique already used with numerical CSPs through the algorithm 3B. Finally, the splitting strategy learns from the CID filtering step the next variable to be split, with no overhead.

Experiments have been conducted with 20 benchmarks. On several benchmarks, CID and 3BCID produce a gain in performance of orders of magnitude over a standard strategy. CID compares advantageously to the 3B operator while being simpler to implement. Experiments suggest to fix the CID-related parameter in 3BCID, offering thus to the user a promising variant of 3B.

Keywords

Hybrid Algorithm Standard Strategy Splitting Strategy Bisection Point Partial Consistency 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Gilles Trombettoni
    • 1
  • Gilles Chabert
    • 2
  1. 1.University of Nice-Sophia and COPRIN Project, INRIA, 2004 route des, lucioles, 06902 Sophia.Antipolis cedex, B.P. 93France
  2. 2.ENSIETA, 2 rue François Verny, 29806 Brest cedex 09France

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